Saddleback Math Covers
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MATH COMPUTATION SKILLS & STRATEGIES Every book in the Math Computati...

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Saddleback Math Covers

10/22/06

6:24 PM

Page 3

MATH COMPUTATION SKILLS & STRATEGIES Every book in the Math Computation Skills and Strategies series contains over 100 reproducible pages.These highinterest activities combine computation practice with strategy instruction. Featuring a Scope and Sequence chart, the books allow educators to supplement their math lessons with the extra math practice all students need. In addition, periodic reviews allow for reinforcement and assessment of skills.

H I G H - I N T E R E S T M AT H C O M P U TAT I O N S K I L L S & S T R AT E G I E S

HIGH-INTEREST

• LEVEL 5

The books are grade specific, but they were created with students of all ages in mind. Each book features ready-to-use pages with instructional tips at the beginning of each lesson. Math Computation Skills and Strategies reproducible books are the perfect choice for educators.

HIGH-INTEREST

MATH COMPUTATION SKILLS & STRATEGIES Operations Fractions and Decimals Whole Numbers Perimeter and Area Regrouping

Three Watson • Irvine, CA 92618-2767 • 888-SDL-BACK • www.sdlback.com

S A D D L E B A C K E D U C AT I O N A L P U B L I S H I N G

Saddleback E-Book

Solving Word Problems Money Measurement

LEVEL

5

100 plus+ REPRODUCIBLE ACTIVITIES

MATH COMPUTATION SKILLS & STRATEGIES

LEVEL

5

ISBN 1-56254-968-5 Copyright © 2006 by Saddleback Educational Publishing. All rights reserved. No part of this book may be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system without written permission of the publisher, with the following exception. Pages labeled Saddleback Educational Publishing ©2006 are intended for reproduction. Saddleback Educational Publishing grants to individual purchasers of this book the right to make sufficient copies of reproducible pages for use by all students of a single teacher.This permission is limited to an individual teacher and does not apply to entire schools or school systems. Printed in the United States of America

Table of Contents Page . . . . . Lesson 5 . . . . . . . . . Introduction Unit 1 . . . Numbers and Number Sense 6 . . . . . . . . . Write Whole Numbers 7 . . . . . . . . . Write Integers 8 . . . . . . . . . Add & Subtract Integers 9 . . . . . . . . . Add & Subtract Integers 10 . . . . . . . . Write Decimals 11 . . . . . . . . Write Fractions and Mixed Numbers 12 . . . . . . . . Find Equivalent Fractions 13 . . . . . . . . Convert Decimals and Fractions 14 . . . . . . . . Order Numbers 15 . . . . . . . . Order Numbers 16 . . . . . . . . Round Numbers 17 . . . . . . . . Round Numbers 18 . . . . . . . . Read Graphs 19 . . . . . . . . Read Linear Graphs 20 . . . . . . . . Read Coordinate Graphs 21 . . . . . . . . Read Graphs with Four Quadrants 22 . . . . . . . . Plot Coordinate Graphs 23 . . . . . . . . Understand Percents 24 . . . . . . . . Find Percents 25 . . . . . . . . Find Percents 26 . . . . . . . . Convert Numbers 27 . . . . . . . . Convert Numbers 28 . . . . . . . . Convert Numbers 29 . . . . . . . . Understand Exponents 30 . . . . . . . . Use Exponents 31 . . . . . . . . Solve Word Problems 32 . . . . . . . . Solve Word Problems 33 . . . . . . . . Review Number Sense 34 . . . . . . . . Review Number Sense Unit 2 . . . . Operations with Whole Numbers and Decimals 35 . . . . . . . . Use Addition/Subtraction Fact Families 36 . . . . . . . . Learn Properties of Addition 37 . . . . . . . . Practice Addition Facts 38 . . . . . . . . Practice Addition Facts 39 . . . . . . . . Add Up to 2 Digits 40 . . . . . . . . Add Up to 4 Digits 41 . . . . . . . . Add Up to 7 Digits 42 . . . . . . . . Add Decimals 43 . . . . . . . . Practice Addition 44 . . . . . . . . Practice Addition 45 . . . . . . . . Practice Addition 46 . . . . . . . . Practice Subtraction Facts 47 . . . . . . . . Practice Subtraction Facts 48 . . . . . . . . Subtract Up to 2 Digits

49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87

........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........

Subtract Up to 4 Digits Subtract Up to 7 Digits Subtract Decimals Practice Subtraction Practice Subtraction Check Addition and Subtraction Solve Word Problems Solve Word Problems Review Addition and Subtraction Review Addition and Subtraction Understand Multiples Find Multiples Understand Factors Find Prime Factors Practice Multiplication Facts Practice Multiplication Facts Multiply 2 Digits by 1 Digit Multiply 4 Digits by 1 Digit Multiply 7 Digits by 1 Digit Multiply Decimals Multiply 2 Digits by 2 Digits Multiply 4 Digits by 2 Digits Multiply 7 Digits by 2 Digits Multiply Decimals Practice Division Facts Practice Division Facts Divide 2 Digits by 1 Digit Divide 4 Digits by 1 Digit Divide with Remainders Divide with Remainders Divide Decimals Divide 2 Digits by 2 Digits Divide 4 Digits by 2 Digits Divide Decimals Check Multiplication and Division Solve Word Problems Solve Word Problems Review Multiplication and Division Review Multiplication and Division

Unit 3 . . . . Operations with Fractions 88 . . . . . . . . Add Fractions with Like Denominators 89 . . . . . . . . Add Fractions with Unlike Denominators 90 . . . . . . . . Subtract Fractions with Like Denominators 91 . . . . . . . . Subtract Fractions with Unlike Denominators 92 . . . . . . . . Understand Multiplying Fractions 93 . . . . . . . . Multiply Fractions 94 . . . . . . . . Multiply Mixed Numbers 95 . . . . . . . . Understand Dividing Fractions 96 . . . . . . . . Divide Fractions 97 . . . . . . . . Divide Mixed Numbers

Table of Contents 98 . . . . . . . . 99 . . . . . . . . 100 . . . . . . . 101 . . . . . . .

Solve Word Problems Solve Word Problems Review Fractions Review Fractions

Unit 4 . . . . Equations 102 . . . . . . . Write Equations 103 . . . . . . . Use Order of Operations 104 . . . . . . . Solve Equations with Parentheses 105 . . . . . . . Complete Function Charts 106 . . . . . . . Graph Functions 107 . . . . . . . Review Equations 108 . . . . . . . Solve Word Problems Unit 5 . . . . 109 . . . . . . . 110 . . . . . . . 111 . . . . . . . 112 . . . . . . . 113 . . . . . . . 114 . . . . . . . 115 . . . . . . . 116 . . . . . . . 117 . . . . . . . 118 . . . . . . . 119 . . . . . . . 120 . . . . . . . 121 . . . . . . . 122 . . . . . . . 123 . . . . . . . 124 . . . . . . .

Geometry and Measurement Understand Angles Identify Types of Angles Convert Customary Lengths Convert Metric Lengths Understand Perimeter Find Perimeters Find Areas of Parallelograms Find Areas of Triangles Understand Surface Area Find Surface Areas Understand Volume Find Volumes Solve Word Problems Solve Word Problems Review Geometry Review Geometry

Unit 6 . . . . 125 . . . . . . . 126 . . . . . . . 127 . . . . . . . 128 . . . . . . . 129 . . . . . . . 130 . . . . . . . 131 . . . . . . . 132 . . . . . . . 133 . . . . . . . 134 . . . . . . . 135 . . . . . . . 136 . . . . . . . 137 138 139 140 141 142 143 144

Data Analysis and Probability Understand Averages Find Averages Find Probability Find Probability Understand Odds Find Odds Understand Mean, Median, and Mode Find Mean, Median, and Mode Solve Word Problems Solve Word Problems Review Mean, Median, and Mode Review Probability

. . . . . . . Scope and Sequence . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key

About This Series This series was created by Saddleback Educational Publishing to provide extensive math practice as a supplement to in-class instruction. Math Computation Skills and Strategies can easily be integrated into math curricula to reinforce basic skills.The lessons focus on practice, with up to 70 items a page. In addition, the lessons are designed to challenge students as their skills grow stronger. As the students progress through the individual lessons, the degree of difficulty increases. Closely adhering to state standards, this series provides grade-level appropriate lessons that are approachable for students at a range of abilities. Review lessons are interspersed throughout the book to allow students to reinforce their skills. Furthermore, the Scope and Sequence chart at the back of the book will help you choose lessons that are applicable to your curriculum.This series covers a range of topics, allowing students to build skills in multiple areas. Additionally, the lessons provide a variety of approaches, including word problems that emulate real-life situations. Each book is designed to challenge students who are learning skills at the corresponding grade level. However, the lessons were created not just for younger children, but for students of all ages. Saddleback Educational Publishing believes in allowing students to strengthen their skills with fun and exciting practice lessons.We hope you enjoy using this series to supplement class instruction and help students gain skills for proficiency in math computation.

Write Whole Numbers To write whole numbers, just figure out how many billions, millions, thousands, and hundreds there are.

ones

hundreds

tens

ones

hundreds

tens

ones

Ones

tens

Thousands

hundreds

Millions ones

tens

hundreds

Billions

4

6

1, 3

8

7, 2

5

9

Standard form: 461,387,259 Expanded form: 400,000,000 + 60,000,000 + 300,000 + 80,000 + 7,000 + 200 + 50 + 9 Short word form: 461 million, 387 thousand, 259 Directions: Write the number in three different ways.

ones

hundreds

tens

ones

hundreds

tens

ones

Ones

tens

Thousands

hundreds

Millions

5, 2

7

4, 5

1

0, 9

3

5

ones

tens

hundreds

Billions

1.

In standard form

2.

In expanded form

3.

In short word form

Directions: Write each in standard form. a

b

4. four hundred thousand twenty-four

9 thousands, 6 tens, 2 ones

5. 61 thousands, 4 hundreds

84 million, 54 thousand

6. 60,000 + 4,000 + 200 + 10 + 5

403 thousand, 942 hundred

7. 400,000 + 50,000 + 1,000

200 million + 670 thousand

8. 962 million, 232 thousand

56 thousand

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 6

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Write Integers Integers are a set of whole numbers and their opposites.

-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 negative numbers

positive numbers

Whole numbers greater than zero are called positive integers. Whole numbers less than zero are called negative integers. The integer zero has no sign and is neither positive nor negative.

Directions: Write the number. a

b

1. 10 degrees above zero

8 integers to the left of +3 on the number line

2. a loss of 14 yards

a gain of 12 pounds

3. a gain of 7 points

4 integers to the right of –5 on the number line

4. 12 steps backward

9 degrees below zero

5. the opposite of –233

an altitude of 9,800 feet

6. an earning of 20 dollars

a withdrawal of $1,754 from a bank account

Directions: Write the opposite integer. a

b

7. –5,000

47

8. 5 feet above sea level

–256

9. +15

63

10. 4 yards more than 100

0

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 7

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add & Subtract Integers Use the number line for practice adding and subtracting integers.

-14-13-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Add a positive integer by moving to the right on the number line. 4 + 8 = 12 Add a negative integer by moving to the left on the number line. 3 + ( −7 ) = –4 Subtract an integer by adding its opposite. 5 − 8 = –3

Directions: Add or subtract the integers. a

b

c

d

1.

9+ 4 =

14 + (−3) =

14 − ( +3) =

−14 + 10 =

2.

2+ 9 =

15 + 6 =

8 + (−5) =

−2 + (−9) =

3.

33 + 6 =

43 + 30 =

7 + (−4) =

−13 + (−7) =

4.

−1+ 49 =

11+ (−32)

6 + (−7) =

−5 + (−8) =

5.

15 + 29 =

16 + 35 =

9 + (−9) =

−9 + 5 =

6.

−15 + 5 =

29 + 10 =

−1+ (−31) =

−6 + 7 =

7.

42 + 15 =

42 + 26 =

−28 + 18 =

−19 + 15 =

8.

−3 − (−6) =

−4 − (−3) =

−12 − (−5) =

−13 − 2 =

9.

6 − 10 =

9 − 14 =

5 − 12 =

13 − (−7) =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 8

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add & Subtract Integers Let’s try adding and subtracting integers without the number line! Subtracting Integers: 8 − (−5) = to subtract a positive integer, add its opposite 8 + (+5) = 8+ 5 =

Adding Integers: positive + positive = positive negative + negative = negative positive + negative = positive, negative, or zero

Directions: Add or subtract the integers. a

b

c

1.

7 + (−3) =

−8 + 5 =

−6 + 8 =

2.

77 + (−37) =

92 + 31 =

−87 + 54 =

3.

49 + (−13) =

77 + (−93) =

−66 + 84 =

4.

37 + (−21) =

−17 + 64 =

−99 + 31 =

5.

8 − 16 =

−7 − 4 =

11− 6 =

6.

9− 7 =

−10 − 11 =

−16 − 4 =

7.

40 − 13 =

−62 − 9 =

−37 − 5 =

8.

90 − 42 =

−100 − 20 =

−112 − 6 =

9.

20 − 16 =

19 − 14 =

27 − 11 =

10.

133 − 60 =

−10 − (−4) =

−3 − (−9) =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 9

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Write Decimals Decimals are parts of whole numbers.

tens

ones

tenths

hundredths

thousandths

7, 0

0

0

. 4

2

1

thousands

hundreds

The 1 is in the thousandths place. The value of 2 is 0.02 or “2 hundredths” The number can be read “seven thousand and four hundred twentyone thousandths.”

Directions: Write the decimal or the name of the decimal. a

b

1. five tenths

six and six tenths

2. ninety-two hundredths

fifty-two and nine tenths

3. seven and two tenths

four and thirty-two hundredths

4. three hundreds and four tenths

two hundreds and three tenths

5. six hundred twenty-one thousandths

fifty-three thousandths

6. 0.5

52.9

7. 0.46

53.8

Directions: Write the place of 4 in each number. a

b

8. 0.4

4.23

9. 0.342

472.8

10. 0.004

7.364

11. 24.10

12.4

12. 642.39

4001.59

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 10

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Write Fractions and Mixed Numbers Fractions are also parts of whole numbers.They are written with a numerator and a denominator. The numerator is the number of parts shaded. The denominator is the total number of 5 “five sixths” equal parts. 6 Fractions are less than one. Mixed numbers are greater than one.

5 “one and five sixths” 6

1

Directions: Write the fraction or word form of the fraction. a

c

b

4 5 3 4

five ninths

3.

7 10

four sevenths

9 _ 3

4.

2 3

five fifths

8 _ 5

1. 2.

1 8 11 4

one fifth

_ _

_

Directions: Write the fraction as a mixed number. Simplify. a

c

b

5.

6 4

8 4

13 6

6.

7 4

17 5

12 6

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 11

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Equivalent Fractions Equivalent fractions name the same amount. Let’s try to find fractions equivalent to one another. The same amount is shaded in both pictures. Or, try multiplying the numerator and denominator by the same number:

1 2 = 2 4

1 ⎛ 2⎞ 2 ⎜× ⎟ = 2 ⎝ 2⎠ 4

Directions: Find the missing numerator or denominator. a

b

c

1.

1 = 2 4

2 4 = 3

10 = 5 10

2.

1 = 3 6

2 8 = 5

12 36 = 10

3.

1 = 4 10

4 8 = 7

7 42 = 4

4.

4 12 = 3

4 = 2 10

9 = 3 9

Directions: Write a fraction for the shaded part of the picture. a

b

5.

6.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 12

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Convert Decimals and Fractions All fractions have equivalent decimal forms. Let’s change fractions to decimals.

Any fraction with 10, 100, or 1000 in the denominator is easy to covert: 22 4 = 0.4 100 = 0.22 10 Other fractions are converted into decimals by dividing: 1 = 0.25 4 Change decimals to fractions by writing the decimal over a power of 10, then simplify. 42 ⎛ 2⎞ 21 0.42 "forty-two hundredths" ⎜÷ ⎟ = 100 ⎝ 2⎠ 50 3.5 "three and five tenths"

5 ⎛ 2⎞ 1 ⎜÷ ⎟ = 3 10 ⎝ 2⎠ 2

3

Directions: Write the name of the fraction in short word form, then convert it to decimal form. a

b

1.

5 10

8 5

2.

7 10

1 2

3.

42 100

3 4

4.

17 1000

3 2

Directions: Write as a fraction. Simplify if necessary. a

c

b

5.

0.3

0.75

2.4

6.

0.5

0.43

1.2

7.

0.8

0.50

4.3

8.

0.24

0.375

7.6

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 13

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Order Numbers Ordering numbers helps us understand which are greater and which are less.

4,242 > 3,928

> greater than < less than = equal to

Directions: Compare and order. a

b

1. 795

759

81,960

83,450

2. 626

662

275,163

257,361

3. 922

944

537,420

532,240

4. 1,762

1,276

8,512,924

5. 3,487

3,567

63,512,417

8,413,429 63,855,408

Directions: Order the numbers from least to greatest. 6.

322

7.

6,741

8.

763,818

9.

1,477,405

10.

65,114

248

341

6,738

215

6,241

732,118

721,116

2,642,149 65,141

2,612 712,411

1,432,564

56,416

56,411

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

1,341,716

Date 14

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Order Numbers Decimals can be ordered, too. Use what you know about place value to help you compare decimals. ones

4 4

tenths

hundredths

1

5

1

7

. .

4.17 > 4.15

Directions: Compare and order. Use >, <, or = a

1. 0.4

b

0.03

0.216

0.142

2. 0.55

0.045

10

3. 0.37

0.379

2.531

2.315

5.841

5.04

4. 7.473 5. 1.18

7.464 1.006

6.4

9.3

6.40

Directions: Order from least to greatest. 6.

0.32

3.02

7.

5.27

0.275

8.

8.99

9.6

9.

2.742

10.

8.8

0.31 5.26 9.06

2.624 8.08

0.362 5.73 9.114

3.541

8.21

3.451

8.10

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 15

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Round Numbers To round numbers, simply look at the number to the right of the number to be rounded. If the number to the right is 5 or greater, round up. 477 ➝ 480 If the number to the right is less than 5, round down. 474 ➝ 470 Directions: Round each number to the nearest ten. a

b

c

d

1.

21

64

39

41

2.

107

113

222

75

3.

976

878

765

437

4.

714

699

92

1,428

5.

963

474

319

2,649

Directions: Round each number to the nearest hundred. a

b

c

d

6.

6,743

5,864

472

806

7.

4,532

1,997

531

317

8.

364

2,032

644

322

9.

8,451

7,144

176

864

10.

9,325

2,259

955

283

Directions: Round each number to the nearest thousand. a

b

c

11.

6,563

4,261

12,397

12.

16,742

27,827

64,600

13.

724,794

426,963

7,247,923

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 16

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Round Numbers Rounding decimals follows the same pattern as rounding whole numbers.

Round 0.7642 to the nearest thousandth: to the nearest hundredth: to the nearest tenth:

0.7642 = 0.764 0.7642 = 0.76 0.7642 = 0.8

Directions: Round each decimal to the nearest thousandth, hundredth, and tenth. nearest thousandth

1.

0.4613

2.

1.2781

3.

4.3509

4.

19.7875

5.

27.6432

nearest hundredth

nearest tenth

Directions: Round to the place of the underlined digit. a

c

b

6.

91.10

98.84212

60.7781

7.

994.134

741.45340

9.453

8.

8.4952

37.1915

92.145

9.

367.91

745.2576

17.481

365.63876

69.682

712.9636

10.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 17

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Read Graphs Graphs help us use pictures to estimate numbers.

25% 30%

45%

Directions: Read the above graphs and answer the questions. 1. Who scored around 20 points? 2. How many points did Akira score? 3. Who scored the least points? 4. Which players scored fewer than 15 points? 5. What are the total points for all players combined? 6. How many more points than Jamar did Jose score? 7. What type of breakfast drink do 30% of students drink? 8. What percentage of students drink milk for breakfast? 9. What type of breakfast drink do 25% of students drink?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 18

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Read Linear Graphs Each point on a line graph represents two specific points of information.

Directions: Read the line graph. 1.

What was the attendance for Thursday?

2.

Which day was attendance at the school play 200 people?

3.

On which days did fewer than 300 people attend?

4.

Between which two days was there the greatest difference in attendance?

5.

Between which days was there a decrease in attendance?

6.

Between which days was there a increase in attendance?

7.

What two pieces of information does the second point on the graph represent?

8.

What two pieces of information does the last point on the graph represent?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 19

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Read Coordinate Graphs Ordered pairs appear on coordinate graphs and are written as (x,y). Directions: Write the ordered pair for each point on the graph. a

b

1.

A

F

2.

B

G

3.

C

H

4.

D

I

5.

E

J

Directions: Write the letter for the point named by the ordered pair. a

6.

(7,7)

(0,1)

7.

(2,8)

(2,0)

8.

(3,1)

(4,9)

9.

(4,7)

(9,6)

10.

(7,4)

(8,3)

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

b

Date 20

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Read Graphs with Four Quadrants Each of the four parts of the coordinate graph is called a quadrant. Directions: Write the ordered pair for each point on the graph. a

b

1.

A

F

2.

B

G

3.

C

H

4.

D

I

5.

E

J

Directions: Write the letter for the point named by the ordered pair. a

6.

(5,5)

(4,2)

7.

(-3,3)

(2,4)

8.

(-4,2)

(1,0)

9.

(3,-5)

(0,-4)

10.

(5,-1)

(-3,-5)

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

b

Date 21

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Plot Coordinate Graphs You can use the ordered pairs to plot points on the graph. Directions: Plot the points on the coordinate graph. a

b

1.

A (7,7)

B (7,1)

2.

C (3,5)

D (2,0)

3.

E (5,2)

F (0,10)

4.

G (8,6)

H (6,4)

5.

I (10,5)

J (9,3)

Directions: Plot the points on the four quadrant graph.

a

b

6.

A (2,4)

B (-8,0)

7.

C (5,7)

D (0,-10)

8.

E (8,10)

F (-7,-9)

9.

G (1,0)

H (3,-10)

10.

I (-3,5)

J (-9,-7)

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 22

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Percents Percents simply means “per hundred.”

16 out of 100 squares are shaded. “16 hundredths” = 0.16 or

16 or 16% 100

Directions: Write a decimal, a fraction, and a percent to represent the shaded part. 1.

2.

3.

4.

5.

6.

Directions: Shade the grid to show the percent. 7.

62%

8.

4%

9.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

94%

Date 23

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Percents Find the percent of a number by multiplying the number by the decimal equivalent of the percent. Directions: Write the number. a

b

1. What is 25% of 10?

2% of 70

2. 5% of 20

3% of 40

3. 2% of 50

15% of 120

4. 10% of 100

30% of 200

5. 40% of 200

150% of 80

Directions: Complete the sentence. a

b

6.

is 60% of 100.

is 40% of 300.

7.

is 10% of 50.

is 30% of 10.

8.

is 20% of 200.

is 70% of 20.

9.

is 50% of 40.

is 80% of 60.

10.

is 25% of 40.

is 42% of 150.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 24

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Percents Try finding percents by using division.

What percent of 100 is 5? 60 is 5% of what number?

5 ÷ 100 + .05 = 5% 60 ÷ 0.05 = 1,200

Directions: Answer the question or complete the number sentence. a

b

1. What percent of 40 is 5?

What percent of 150 is 15?

2. What percent of 8 is 48?

What percent of 400 is 20?

3. What percent of 100 is 10?

What percent of 45 is 9?

4. What percent of 20 is 4?

What percent of 30 is 30?

5. What percent of 200 is 50?

What percent of 4000 is 4?

6.

= 8% of 16

= 25% of 250

7.

= 100% of 60

= 15% of 45

8.

= 50% of 90

% of 10 = 5

9.

= 40% of 100

% of 20 = 2

10. 26 =

% x 520

294 =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

% x 980

Date 25

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Convert Numbers Percents can be understood as both decimals and fractions.

10% (0.10) is “10 hundredths” or 10 1 = 100 10 Directions: Write each percent as both a decimal and a fraction. Simplify. a

b

1. 25%

63%

2. 7%

16%

3. 67%

125%

4. 92%

46%

5. 150%

200%

Directions: Write each decimal as a fraction and a percent. a

b

6. 0.51

0.04

7. 0.72

0.125

8. 0.3

0.423

9. 0.06

1.24

10. 0.15

2.78

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 26

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

€

Convert Numbers Find an equivalent fraction with a common denominator of 100, and then write the numerator with a percent sign. 4 20 80 × = = 80% 5 20 100 Directions: Convert each fraction to a percent. a

c

b

1.

53 = 100

1 2

=

9 10

=

2.

49 = 100

1 4

=

5 10

=

3.

75 = 100

3 4

=

23 = 25

4.

83 = 100

3 5

=

11 = 20

5.

138 = 100

2 5

=

23 = 50

6.

250 = 100

21 = 5

5 = 25

7.

12 = 100

1 = 10

3 10

=

8.

9 = 100

1 5

7 10

=

9.

20 = 100

7 = 10

48 = 5

10.

91 = 100

99 = 10

3 = 25

=

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 27

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Convert Numbers Let’s continue our practice of converting percents, decimals, and fractions.

Directions: Write each decimal as a fraction and as a percent. a

b

1. 0.635

0.3

2. 0.819

0.102

3. 3.69

0.6

4. 23.5

16.25

5. 100.75

200.2

Directions: Complete the tables. Fraction Percent Decimal

Fraction Percent Decimal

0.06

6. 7. 8.

18% 25%

10.

12.

34%

14.

40%

0.8 50% 0.49

15.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

64%

13.

0.17

9.

11.

Date 28

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Exponents Exponents show how many times a number is used as a factor.

49 7X7

7 X 7 can be written in exponent form. exponent 72 base

7 x 7 can be read, “7 to the 2nd power” or “7 squared.” Directions: Write the prime factorization or the exponent. a

b

1.

12

6× 6× 6

2.

73

3× 3× 3× 3× 3× 3

3.

16 4

8× 8× 8× 8

4.

20 5

5× 5× 5× 5

5.

34

12 3

Directions: Write either the exponent or the name of the exponent. a

b

6.

10 to the 2nd power

100 4

7.

43

−2 2

8.

six to the fifth power

714 3

9.

two to the sixth power

eight to the first power

nine cubed

4 to the power of 0

10.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 29

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Use Exponents Now, let’s learn how to use exponents.

10 3 = 10 × 10 × 10 = 1000 exponent form

meaning

4 2 = 4 × 4 = 16

value

exponent form

meaning

value

Directions: Write the value of each. a

1.

b

10 5

22

12 2

2. 10 4 3.

33

10 2

4.

45

82

5.

53

37

6. nine squared 7.

six cubed

22 × 42

16 × 61

8. 7 cubed x 10 squared

12 squared + 10 cubed

Directions: Write the expression using exponents. a

b

9. 5 × 5 × 5

3 × 10 × 3 × 10

10. 14 × 1 11.

5× 6× 3× 3× 6× 5 2 × 2 × 7 ×1

4 × 4 × 10 × 10

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 30

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems When you read word problems, look for important words and phrases to help you figure out what you need to do to solve. Directions: Read each problem and solve. 1. The average rainfall during springtime is 6.13 cm per month.When rounded to the nearest tenth, what is the average rainfall? 2. Washington School has 4,036 students. Nicklin School has 4,360 students. Which school has the most students? 3. Which point on the number line represents a number greater than 0.2 but less than 0.5?

A

B

C D

0.0 0.1 0.2 0.3 0.4 0.5

4. Students are allowed no more than 2.5 hours of study hall per week.Which of the following students have gone over the allowed amount of study hall time? name Abby Pedro Rosalyn Daniel

hours of study hall 1 2 2 3 2 4 2.53 1 2 3

5. During flu season, 40% of the 35 students in Mrs. Rodriguez’s class got the flu. How many students got sick? Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 31

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems Word problems can be fun! Let’s keep trying to solve them! Directions: Read each problem and solve. 1. Scientists have just discovered people on Pluto. Here are the populations for the years 2003 and 2005 in the four villages on Pluto. village

List the places in order of increasing size in both 2003 and 2005.

population 2003

2005

Vertu

129

204

Eilosa

308

292

Pridi

90

50

Dedrum

1200

1500

2003

2005

2. In which year was the total population of the planet greater? 3. There are 50 children and 20 adults in one neighborhood in Dedrum.What percent of the total people in this neighborhood are children?

15%

4. Reality shows make up what percent of TV watching?

50%

20%

5. Write the percent of comedy shows watched as a fraction. 6. Write the percent of talk shows watched as a decimal.

15%

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 32

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Number Sense Let’s review what we’ve learned so far! Directions: Rewrite the number in another form. a

1.

2.

b

six million four hundred thousand

40,000 + 7,000 + 600 + 70 + 2

in expanded form

in standard form

a deposit of $20 in a bank account

43 degrees below zero as an integer

as an integer 3.

4.

the opposite of –534 as

the opposite of 16 feet above sea

an integer

level as an integer

sixteen tenths as a decimal

twenty nine hundreds and five tenths as a decimal

5.

six sevenths as a fraction

0.57 as a fraction

7 as an equivalent fraction 10 5 in short word form 8

8.

6.23 as a fraction

13 as an equivalent fraction 10 5 6 as a fraction 9 4% of 12 as a decimal

9.

6% of 40 as a fraction

116% as a decimal

10.

232% as a fraction

2

11.

53 as a mixed number 8

5 to the tenth power

12.

six to the first power

14 cubed

6. 7.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

3 as a decimal 5

Date 33

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Number Sense Keep practicing!

Directions: Order the numbers from least to greatest. a

b

1.

204 242 224

7 7 77 10 100 100

2.

631 361 163

1 7

1 8

3.

2,479 2,947 2,794

0.45

45 45 10 1000

4.

0.434 0.043 0.334

5.

10.07 10.7 10.071

1 3

6 0.16 10 0.006 23.47

2

5 6

47 10

Directions: Answer the question. 6.

What is 13 digits to the left of +10 on a number line?

7.

What is 0.146 rounded to the nearest tenth?

8.

What is 7,644 rounded to the nearest thousand?

9.

In 17,891 which digit is in the thousands place?

10.

Write the place value of 5 in the number 122.15

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 34

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Use Addition/Subtraction Fact Families These fact families will help you learn faster!

Fact family: 2, 5, 7 Addition: 2 + 5 = 7; 5 + 2 = 7 Subtraction: 7 – 2 = 5; 7 – 5 = 2

Directions: Use the fact families to write at least one addition sentence and one subtraction sentence. a

b

c

1.

Fact family: 8, 1, 9 Addition: Subtraction:

Fact family: 20, 15, 5 Addition: Subtraction:

Fact family: 64, 40, 24 Addition: Subtraction:

2.

Fact family: 11, 5, 16 Addition: Subtraction:

Fact family: 32, 17, 15 Addition: Subtraction:

Fact family: 78, 51, 27 Addition: Subtraction:

3.

Fact family: 9, 7, 16 Addition: Subtraction:

Fact family: 25, 12, 13 Addition: Subtraction:

Fact family: 86, 23, 63 Addition: Subtraction:

4.

Fact family: 12, 7, 19 Addition: Subtraction:

Fact family: 27, 21, 6 Addition: Subtraction:

Fact family: 97, 52, 45 Addition: Subtraction:

5.

Fact family: 8, 13, 5 Addition: Subtraction:

Fact family: 41, 20, 21 Addition: Subtraction:

Fact family: 101, 66, 35 Addition: Subtraction:

6.

Fact family: 7, 8, 15 Addition: Subtraction:

Fact family: 53, 13, 40 Addition: Subtraction:

Fact family: 150, 96, 54 Addition: Subtraction:

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 35

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Learn Properties of Addition Learning the properties of addition will make addition easier. Commutative Property: Changing the order of numbers 4 + 6 = 10 does not change the sum. 6 + 4 = 10 Associative Property: Grouping numbers does not change the sum.

Zero Property: The sum of zero and any number is that number.

(6 + 4) + 2 = 12 123

12 + 0 = 12

10

6 + (4 + 2) = 12 123 6

Directions: Use the properties of addition to help you add.Tell which property you use in each case. 1. 12 + 4 =

+

2. 20 + 14 =

=

+

3. 50 + 120 =

____________

=

+

____________

=

4. 100 + 0 = 5. 150 +

____________ ____________

= 150

6. (26+6) + 7 =

____________ +(

+

7. 20 + 0 = 8. 52 + 25 =

)=

____________

____________ +

9. 260 + 620 =

= +

____________ =

____________

10. 17 + (87+42) = (

+

)+

=

____________

11. 63 + (27+15) = (

+

)+

=

____________

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 36

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Addition Facts Learn the fast facts of adding! Directions: Add. Learn the fast facts of addition by timing yourself. a

b

c

d

e

1.

1+ 9 =

3+ 6 =

7+ 7 =

4+ 4 =

7 +1=

2.

6+ 4 =

8+ 4 =

8+ 3 =

2+ 5 =

10 + 4 =

3.

5+ 4 =

9+ 3 =

6+ 5 =

7+ 3 =

4+ 5 =

4.

9+ 2 =

8+ 8 =

8+ 2 =

8 +1=

2+ 9 =

5.

2+ 7 =

7 +1=

5+ 5 =

10 + 0 =

12 + 3 =

6.

2+ 5 =

3+ 2 =

2+ 4 =

6+ 2 =

10 + 8 =

7.

3+ 3 =

6+ 6 =

7+ 6 =

10 + 3 =

12 + 7 =

8.

4+ 3 =

8+ 0 =

0+ 9 =

7 + 10 =

13 + 1 =

9.

7+ 4 =

7 +1=

10 + 2 =

2 +1=

12 + 4 =

10.

4+ 9 =

9+ 5 =

1+ 6 =

11+ 1 =

4+ 8 =

11.

5+ 3 =

10 + 1 =

10 + 5 =

10 + 10 =

12 + 5 =

12.

5 +1=

8+ 5 =

4 +1=

4+ 7 =

11+ 3 =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 37

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Addition Facts Let’s try more fast facts! Directions: Time yourself. Learn these addition facts by heart. a

b

c

d

1.

6 + 10 =

11+ 5 =

18 + 9 =

18 + 2 =

2.

8+ 6 =

13 + 4 =

17 + 8 =

13 + 8 =

3.

7+ 5 =

15 + 7 =

11+ 8 =

20 + 2 =

4.

8+ 7 =

17 + 9 =

12 + 10 =

18 + 5 =

5.

9+ 8 =

16 + 9 =

18 + 6 =

19 + 9 =

6.

9+ 7 =

15 + 8 =

15 + 10 =

23 + 5 =

7.

9+ 9 =

12 + 4 =

17 + 3 =

21+ 3 =

8.

9+ 6 =

14 + 8 =

13 + 3 =

30 + 13 =

9.

11+ 4 =

15 + 6 =

16 + 7 =

19 + 4 =

10.

13 + 7 =

12 + 8 =

22 + 5 =

24 + 6 =

11.

14 + 6 =

11+ 7 =

13 + 7 =

27 + 4 =

12.

12 + 0 =

13 + 6 =

15 + 9 =

16 + 11 =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 38

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Up to 2 Digits Let’s try adding bigger numbers. Add from right to left:

1

1

65 + 22 97

89 + 72 161

Directions: Add. Regroup when necessary. a

b

c

d

e

f

1.

48 + 72

67 + 18

44 + 31

12 + 21

13 + 11

76 + 10

2.

45 + 13

51 + 29

27 + 15

63 + 11

36 + 66

89 + 19

3.

82 + 20

73 + 17

93 + 22

10 + 88

68 + 25

71 + 42

4.

34 + 91

13 + 24

72 + 26

27 + 58

30 + 74

76 + 93

5.

55 + 28

94 + 10

14 + 83

45 + 23

63 + 42

52 + 27

6.

35 + 75

26 + 31

47 + 78

54 + 27

65 + 31

31 + 49

7.

26 + 35

47 + 78

75 + 24

85 + 53

77 + 77

68 + 99

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 39

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Up to 4 Digits You’re becoming a pro! 1 11

4793 + 348 5321 Directions: Add. a

b

c

d

e

f

1.

1723 + 47

1964 + 29

1680 + 36

1524 + 57

1205 + 18

1322 + 65

2.

1563 + 75

1984 + 86

1629 + 94

1746 + 71

1427 + 83

1128 + 42

3.

2762 + 416

7216 + 317

6431 + 157

4259 + 511

6178 + 275

3672 + 648

4.

8428 + 229

3675 + 140

3759 + 613

1416 + 214

4536 + 463

8093 + 732

5.

5216 + 845

9230 + 517

2911 + 245

4218 + 316

2537 + 1995

8934 + 1261

6.

8309 + 1467

3085 + 2085

3182 + 4296

4164 + 1771

2420 + 4240

5124 + 1017

7.

7832 + 2654

1863 + 3126

2 711 + 5625

1999 + 7644

1119 + 4217

2015 + 1230

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 40

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Up to 7 Digits Keep adding.You’re getting good at it! 1

1

6, 74 3,182 9,750 + 6, 752, 932 Directions: Add. a

b

c

d

1.

4, 976, 310 + 492, 761

9,764 ,153 + 5, 544, 534

1, 430, 172 + 335 , 419

2, 035, 821 + 757, 345

2.

1, 354, 867 + 6, 921, 899

3, 847, 327 + 2, 651, 986

5, 329, 495 + 5, 660, 375

7 , 634, 278 + 6, 374, 638

3.

6, 433, 367 + 6 , 728, 358

8, 647, 568 + 3, 863, 269

2 , 785, 889 + 5, 902, 603

4, 396, 345 + 9, 617, 311

4.

3, 829, 932 + 3, 290, 133

5, 726, 483 + 5, 419, 566

6, 537, 285 + 4, 510, 935

7, 622,164 + 2, 140, 527

5.

9, 963, 275 + 2, 693, 359

8 , 257, 410 + 6, 779, 028

7 , 563 ,150 + 3, 736, 162

9, 648 ,103 + 2, 460,128

6.

7 , 182, 648 + 5, 202, 535

2 , 568 , 973 + 7, 268, 822

6 , 258, 473 + 5, 411, 650

8, 675, 309 + 7, 737, 5 00

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 41

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Decimals Adding 0decimals .4 + 0.63is easy! Just line up the decimal points. 0.4 + 0.63

1

0.40 ¨ add a zero so the decimals have the same number of places +0.63 1 0.40 1.03 +0.63 Directions: Add the decimals. 1.03 a

b

c

d

1.

0.24 + 6.9

3.48 +17.95

1. 354 + 4.13

2. 573 +15.98

2.

4.0 + 8.12

19.07 + 0.08

8 . 095 + 7. 986

7.009 + 3.38

3.

3.73 + 2.763

0.53 + 0.032

77.813 + 35.17

5.006 +102.48

4.

0 .015 + 2.920

7.142 + 1. 3139

734.309 + 32.906

4 832.56 + 2759. 1

5.

38.6 + 0.09

27.9 + 14.32

0.93621 + 1 .4765

47.073 + 63.09

6.

0.843 + 0.4792

5.65 +3.87

64.95 + 3.2

6.571 + 66.23

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 42

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Addition Practice makes perfect! Directions: Add. a

b

c

d

e

1.

82 +24

267 + 570

7, 512 + 393

52, 964 +71, 530

63,141 +82,169

2.

44 + 22

138 + 625

21, 837 + 6, 431

46, 781 +52, 432

1, 020, 587 +7,123, 564

3.

853 + 231

832 +145

78, 302 +21, 345

94, 628 +14, 830

728, 451 +783, 240

4.

372 +480

796 +374

52, 645 + 3, 512

74, 326 + 2, 469

3,124, 000 + 6, 613

5.

761 +842

421 +728

72, 430 + 6, 741

68, 351 + 5, 284

2,157 +323, 090

6.

8, 431 +1, 083

5, 001 +2, 173

84, 257 + 1, 230

5, 401, 364 +2, 911, 532

3, 456, 182 + 621, 435

7.

2 ,196 + 3, 842

812 + 614

21, 659 + 7,105

46, 365 + 49

93,146 + 639

8.

5, 215 + 8 ,165

308 + 410

73, 431 + 5, 214

3, 732 .43 + 0.67

2 , 117, 105 +4, 004, 632

€ Name

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 43

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Addition Addition is a useful skill! Keep practicing. Directions: Add. a

b

c

d

e

1.

1.760 +3.394

0.634 + 1.369

43 .240 + 67. 116

624.3 + 427.16

9 , 282.394 + 5, 411. 650

2.

34 . 096 + 65. 510

46 .40 + 0. 72

177. 1634 + 643.2768

999.32 + 331. 00

979.783 + 317.62

3.

10.025 + 93.006

0.601 + 4.387

96, 843.31 + 898.2

382.77 + 309.42

1, 458.10 + 573.697

4.

104.13 + 35.035

0.54 + 8.71

416.45 + 273.13

951.43 +275.90

144.2184 + 3.934

5.

23.375 +31.657

168.21 +149.42

771 +397.54

0.7543 +425.6

1, 890.4366 +2, 657.2858

6.

83.08 +12.32

60.05 +75

691.04 +173.42

403.3917 + 7.500

506 + 0.43

7.

98.31 +66.15

215.84 + 95

45.7911 +357.5

629.477 +122.04

8000.800 + 7020.1704

8.

287.01 + 95.2

36.9 +24.0

196.64 +276.48

895.23 + 0.42

63.752606 +7.922616

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 44

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Addition One more page of practice can’t hurt! Directions: Add. a

b

1.

3, 143 + 46, 735

4, 752 + 63, 646

2.

15, 830 + 75, 558

3.

c

d

e

8, 718 + 5, 966

50, 237 + 29, 791

27, 810 + 35, 238

19, 054 + 15, 967

5 1, 241 + 22, 111

3 7, 163 + 20, 719

19, 417 + 50, 720

68, 201 + 82, 246

74, 148 + 26, 290

99, 239 + 13, 833

95, 15 1 + 65, 428

16, 566 + 11, 606

4.

46, 169 + 15, 254

9, 47 1, 464 + 3, 483, 217

5, 171, 837 + 6, 418, 923

6, 238, 885 + 7, 201, 684

5, 648, 040 + 3, 743, 375

5.

480, 987, 303 826, 981, 501 523, 314, 802 + 387, 876, 955 + 611, 357, 241 + 3, 450, 400

7, 453, 072 + 2, 041, 143

1, 596, 741 + 419, 564

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 45

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Subtraction Facts We’ll start with subtraction we already know.

Directions: Practice learning subtraction facts. a

b

c

d

1.

6− 5 =

8− 7 =

7− 5 =

10 − 8 =

2.

6− 6 =

12 − 5 =

6− 2 =

14 − 6 =

3.

11− 8 =

9− 2 =

7− 2 =

9− 4 =

4.

7− 3 =

9− 3 =

10 − 3 =

12 − 7 =

5.

9 −1=

5− 5 =

7− 6 =

11− 2 =

6.

9− 6 =

4− 0 =

10 − 1 =

8− 5 =

7.

7− 5 =

11− 7 =

12 − 4 =

13 − 5 =

8.

9− 5 =

8− 6 =

12 − 9 =

18 − 9 =

9.

8− 3 =

10 − 7 =

16 − 5 =

14 − 8 =

10.

12 − 8 =

13 − 7 =

15 − 5 =

13 − 8 =

11.

14 − 9 =

10 − 3 =

18 − 1 =

17 − 4 =

12.

11− 9 =

15 − 7 =

12 − 3 =

16 − 8 =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 46

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Subtraction Facts Try learning subtraction facts with larger numbers.

Directions: Time yourself as you practice these subtraction facts. a

b

c

d

1.

13 − 9 =

20 − 5 =

14 − 5 =

47 − 4 =

2.

14 − 9 =

19 − 4 =

15 − 8 =

20 − 18 =

3.

14 − 6 =

22 − 6 =

46 − 1 =

27 − 8 =

4.

15 − 9 =

12 − 10 =

53 − 6 =

61− 14 =

5.

16 − 7 =

30 − 7 =

72 − 4 =

65 − 11 =

6.

10 − 8 =

32 − 10 =

40 − 15 =

81− 17 =

7.

16 − 9 =

39 − 9 =

24 − 7 =

54 − 10 =

8.

17 − 10 =

42 − 9 =

26 − 16 =

68 − 13 =

9.

11− 8 =

23 − 8 =

35 − 9 =

70 − 11 =

10.

17 − 9 =

62 − 6 =

50 − 14 =

100 − 12 =

11.

13 − 8 =

80 − 4 =

63 − 10 =

89 − 7 =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 47

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Up to 2 Digits Subtract more than one digit by regrouping the numbers.

Subtract from right to left, using the regrouping technique.

4

52 − 37 15

Directions: Subtract. Regroup when necessary.

€

a

b

c

d

1.

32 − 12

89 − 63

51 − 17

19 − 14

2.

27 − 15

75 − 24

22 − 14

44 − 18

3.

52 −27

94 − 26

67 − 32

53 − 36

4.

65 − 48

84 − 32

34 − 12

66 − 52

5.

90 − 72

82 − 64

46 − 37

81 − 46

6.

37 − 19

72 − 28

96 − 27

57 − 12

7.

33 − 21

80 − 65

70 − 21

96 − 35

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 48

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Up to 4 Digits Keep going with even bigger numbers. 1

6 21

1731 − 1487 244

Directions: Subtract. Regroup when necessary. a

b

c

d

e

1.

7234 − 5361

8240 − 5611

6241 − 2785

6430 − 5429

6640 − 2741

2.

9264 − 1578

6061 − 4835

4132 − 3087

5312 − 3964

2731 − 1658

3.

8140 − 3594

4235 − 1578

1330 − 475

1764 − 1238

8023 − 2990

4.

9968 − 882

8818 − 2982

9495 − 3109

9114 − 6478

3724 − 1189

5.

6266 − 6158

3851 − 2355

3903 − 1745

5186 − 2719

9501 − 8247

6.

2901 − 1347

6020 − 3427

6400 − 5538

1901 − 1146

5364 − 3496

7.

9224 − 5514

2276 − 1864

7269 − 1162

6185 − 921

8319 − 4119

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 49

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Up to 7 Digits Wow! You’re working with some big numbers! Directions: Subtract. a

b

c

d

1.

529, 840 − 60, 841

358, 618 − 263, 449

5, 990, 539 − 848, 333

9, 592, 407 − 3, 496, 618

2.

140, 429 − 39, 465

723, 656 − 302,148

9,697, 601 − 786, 590

6, 926,171 − 4, 378, 686

3.

649, 893 − 14, 556

473, 001 − 318, 898

6, 730, 505 − 220, 080

7, 357, 812 − 1, 257, 384

4.

126, 806 − 68, 930

994, 896 − 448, 125

4,792, 385 − 369, 302

8, 259, 270 − 7, 232,497

5.

345, 297 − 56, 046

325, 826 − 122,198

1, 972, 286 − 177, 398

1, 371, 911 − 1, 274, 366

6.

705, 319 − 71, 402

225, 068 − 216, 696

2, 617, 318 − 351, 201

2,520, 407 − 2,114, 048

7.

880, 661 − 62, 577

596,193 − 124, 370

3, 587, 628 − 522, 459

4, 426, 730 − 1, 000, 010

8.

254, 964 − 29, 941

751, 395 − 456, 016

7, 851154 , − 425,188

5, 374, 020 − 4, 218, 182

€ Name €

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 50

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Decimals Remember to align the decimals as you subtract.

Directions: Subtract. a

b

c

d

e

f

1.

19.9 − 19.1

61.3 − 44 .1

18.07 −1.01

89.96 − 3.04

0.476 − 0.370

74.69 − 18.47

2.

7.1 − 2.9

59.2 − 2.8

17.66 − 1.3

97.2 − 93.94

92.1 − 1.9

94.5 − 48.2

3.

3.1 − 1.8

72.3 − 2.5

52.74 − 8.52

64.173 − 40.01

5.9 − 1.5

3.077 − 1.75

4.

42.6 − 7.2

13.5 − 1.6

9.4 − 2.05

41.945 − 1.294

7.5 − 7.41

29.156 − 7.6

5.

9.1 −7.9

93.9 − 8.1

65.27 − 3.02

65.854 − 6.8

9.7 − 2.01

5.837 − 1.601

6.

20.2 − 9.1

9.2 −2.6

19.21 −11.07

7.0032 −5.25

37.2 −19.9

66.355 −28.3

7.

96.1 −8.6

70.9 −19.1

84.8 −30.06

61.004 −60.485

8.5 −5.44

9.04 −2.248

8.

52.6 −4.8

9.15 −5.56

63.35 −18.52

82.2951 −42.0273

80.3 −5.6

8.397 −5.2

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 51

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Subtraction Now, let’s practice those subtraction skills!

Directions: Subtract. a

b

c

d

e

f

1.

78 − 15

515 − 208

7,169 − 526

83, 454 − 4, 440

357409 , − 96,108

4, 749, 908 − 254, 394

2.

64 − 20

374 − 347

4, 766 − 831

77, 184 − 6, 003

646, 844 − 73, 024

2, 618, 835 − 356, 262

3.

79 − 66

833 − 388

6, 430 −1, 704

24, 260 −2, 521

822, 241 − 82,119

6, 421, 203 − 5, 959, 777

4.

87 − 26

136 − 97

4, 534 − 4, 499

52,662 −17,138

269, 628 − 88, 538

3,143, 981 − 2, 306, 823

5.

92 − 39

492 − 85

8, 921 − 4, 927

67, 203 − 42, 209

806, 420 − 466, 229

7, 561, 035 − 4, 523, 010

6.

72 − 33

366 − 245

8, 405 − 7, 276

73, 424 − 46, 007

989, 837 − 443,103

59.5 − 24.3

7.

34 − 28

723 − 396

7, 582 − 7, 076

97, 239 − 49, 287

696, 337 − 273, 913

66.489 − 2.494

8.

95 − 46

905 − 347

9,154 − 2,392

60, 844 − 31, 011

784, 915 − 772, 033

42, 027 − 8, 295

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 52

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Subtraction Keep it up! You’re almost there!

Directions: Subtract. a

b

c

d

e

f

1.

17 −9

714 −17

811 − 597

5, 668 − 5, 440

227,194 − 84, 517

90.3 − 74.9

2.

12 −8

726 − 30

673 − 583

2, 206 − 2, 041

327, 883 − 91, 241

41.8 − 41.6

3.

16 −7

125 − 40

564 − 372

7 ,132 − 5, 285

707, 901 − 603, 201

69. 2 − 37.05

4.

66 −19

920 − 34

801 − 581

89, 227 −14, 822

740, 969 − 200, 634

34.8 −11.54

5.

59 −15

470 − 97

997 − 776

76, 269 − 8, 926

930, 456 − 459, 994

7.102 − 4.9

6.

78 − 37

739 − 669

1, 017 − 984

82, 424 − 3, 719

437, 994 − 31, 003

75.843 − 3.9

7.

47 −38

893 −356

5, 311 −721

67, 914 −48, 800

9, 637, 725 −235, 406

77.1 −1.1

8.

81 −39

826 −393

9, 305 −814

41, 574 −34, 654

8, 498, 892 −5, 435 , 180

71.05 −44.983

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 53

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Check Addition and Subtraction You can check your own work to make sure you’re on the right track! Check addition with subtraction.

Check 43 31 subtraction − 12 Á + 12 with addition. 31 43

52 65 + 13 Á − 13 65 52

Directions: Add.Then subtract to check your answer. a

b

1.

52 + 27

91 + 73

2.

63 + 25

3.

56 + 48

c

d

e

38 + 19

153 + 85

816 + 395

45 + 33

126 + 37

703 + 192

926 + 178

47 + 78

172 + 76

546 + 931

927 + 405

Directions: Subtract.Then add to check your answers. a

b

c

d

e

4.

75 − 24

37 − 22

542 − 45

764 − 574

654 − 309

5.

89 − 63

45 − 29

748 − 35

733 − 322

429 − 318

6.

95 − 26

78 − 63

322 − 58

812 − 732

829 − 573

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 54

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems Word problems tell a story using numbers. Directions: Solve. Show your work. 1. Mrs. Harris delivered thirty-one letters to the houses on Walker Street and fifty letters to the houses on Elm Street. How many more letters did she bring to the houses on Elm Street?

2. Ohio’s highest elevation is Campbell Hill at 1,549 feet above sea level. The lowest elevation is the Ohio River, measuring 455 feet above sea level. What is the difference between the highest elevation and the lowest?

3. Grandma stitched a quilt for me. She used sixty-one red squares, seventyfour blue squares, seventy-nine yellow squares, and ninety-two green squares. How many squares did it take to make the quilt?

4. Mr. Rodriguez counted the blue pants in his sporting good store.There were 42 small blue pants, 18 medium blue pants, and 76 large blue pants.There were also 14 extra large blue pants. How many pants were there in all?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 55

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems Use the word clues in each story to solve. Directions: Solve. 1. The Los Angeles Lakers played the Boston Celtics on Tuesday. 15, 432 tickets were sold on Monday. If the total number of tickets available for sale is 19, 392, how many tickets were available for sale on the day of the game?

2. Tasha has 12 candy bars to share equally with 2 friends. How many candy bars will Tasha have for herself after she shares the candy with her friends?

3. The family dog buries objects under the porch.This month, she has buried 13 bones, 4 slippers, 2 balls, and 1 rag. She dug up four bones and the rag. How many objects are still buried?

4. Mikah had to stop running in order to catch his breath. He had run 4 blocks north, 1 block east, 3 blocks south, and 9 blocks west. How many blocks did Mikah run in all?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 56

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Addition and Subtraction Let’s mix it up a little with some practice! Directions: Solve. a

b

c

d

e

f

1.

571 + 79

710 + 45

538 + 75

544 − 39

459 − 32

342 − 23

2.

245 + 312

139 + 259

643 + 710

1, 210 − 516

3.

2,161 − 471

1, 122 + 3, 314

4.

30 48 + 23

43 32 + 15

5.

6, 477 + 1, 255

66 , 174 + 2, 310

6, 292 − 552

7, 834 − 378

4, 710 − 145

39, 340 + 1 , 792

2, 562 − 1, 003

6, 323 − 4 , 701

3, 549 7, 834 + 3, 512

31, 605 − 14, 791

7, 206 − 5, 216

2, 520 73 − 172

91, 432 + 67, 529

4, 914 − 3, 718

1, 720 4, 350 + 8 , 321

1, 827, 321 + 3, 456, 004

Directions: Solve. 6. Skylar, Li, and Kaylee held a contest to find out who could throw the ball the longest distance. Skylar could throw it 8 feet. Li could throw it 17 feet. Kaylee could throw it 20 feet. How many feet further could Kaylee throw than Li?

7. My dad mended my torn socks. I found 14 in my closet, 8 in the laundry, 1 on the floor, and 5 in the dryer. How many torn socks did I have?

Name €

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 57

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Addition and Subtraction Here’s some more practice. Directions: Solve. a

b

c

d

e

f

1.

854 + 86

653 + 97

231 + 76

127 + 82

962 + 47

832 + 69

2.

224 +296

652 −315

930 −462

768 −252

784 +829

274 −172

3.

5, 068 +3, 678

7,105 −6,134

9, 226 − 1 , 435

3, 672 − 1, 539

4 ,136 + 5, 370

3, 471 +5, 792

4.

84 60 +32

42 33 +23

2, 816 32 + 142

62, 982 +80,170

5.

5, 534 1, 468 +3,137

42,163 −21, 911

13 , 128 − 2, 469

3, 089 −2, 654

6, 587, 219 9, 742, 531 + 7, 304, 267 −3, 274, 612

8, 323 −1, 476

3, 573 −1, 829

Directions: Solve. 6. Today, we are having a kite competition.There are 50 red kites, 112 yellow kites, 24 green kites, and 70 blue kites in the competition. How many kites total are in the competition?

7. Samir had 729 yards of silk in his store. Zaira bought 12 yards and Yulfia bought 9 yards. How many yards of silk does Samir have left in the store?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 58

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Multiples A multiple is a product of a given number and any whole number. Multiples of 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36

2

3

3

4

4

9

6 8

12

15 16

12

21 24

18 20

12 units

24

27

30

28

32

24 units

33 36 36

36 units

Directions: List the first 10 multiples of each number. 1.

5

,

,

,

,

,

,

,

,

,

2.

6

,

,

,

,

,

,

,

,

,

3.

7

,

,

,

,

,

,

,

,

,

4.

8

,

,

,

,

,

,

,

,

,

5.

9

,

,

,

,

,

,

,

,

,

6.

12

,

,

,

,

,

,

,

,

,

7.

10

,

,

,

,

,

,

,

,

,

8.

15

,

,

,

,

,

,

,

,

,

9.

11

,

,

,

,

,

,

,

,

,

10.

20

,

,

,

,

,

,

,

,

,

11.

16

,

,

,

,

,

,

,

,

,

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 59

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Multiples Whole numbers have common multiples. Let’s find them! Directions: List the multiples for each pair of numbers as needed to find the least common multiple. Circle the LCM. 1.

4 6

2.

8 12

3.

9 15

4.

15 20

5.

3 5

Directions: List the first 5 multiples of each number. 6.

30

7.

24

8.

25

9.

35

10. 13 Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 60

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Factors To find factors of a number, find numbers that divide evenly into the number. 8 = 4× 2

8 = 8 ×1

The factors of 8 are 1, 2, 4, 8.

Directions: Fill in the blank of the missing factor. a

b

c

1.

5 = 5×

6=2× 1×

20 = 4 × 2×

2.

27 = 9 × 27 ×

30 = 6 × 3× 30 × 2×

24 = 2 × 4× 8× 1×

3.

25 = 5 × 1×

21 = 7 × 21 ×

18 = 6 × 2× 18 ×

Directions: List the first 5 multiples of each number. 4.

15

5.

10

6.

12

7.

35

8.

64 Date

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

61

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Find Prime Factors Primes have only themselves and 1 as factors.You can express any number as the product of primes. 25 = 5 × 5 = 52

24 = 3 × 2 × 2 × 2 = 3 × 33

Directions: Express each number as the product of primes. Use exponents when possible. 1.

27

2.

28

3.

35

4.

36

5.

45

6.

47

7.

49

8.

56

9.

50

10.

64

11.

72

12.

81

13.

121

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 62

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Multiplication Facts Learn these facts by heart and become an expert!

Directions: Multiply. a

b

c

d

e

f

1.

5 ×3

2 ×2

3 ×2

8 ×7

5 ×9

8 ×8

2.

6 ×2

7 ×6

6 ×5

5 ×7

9 ×3

3 ×7

3.

7 ×7

3 ×8

9 ×2

8 ×9

4 ×6

5 ×5

4.

6 ×6

9 ×4

6 ×8

4 ×7

9 ×9

8 ×5

5.

7 ×9

8 ×2

7 ×0

6 ×9

2 ×7

5 ×2

6.

4 ×2

3 ×4

4 ×4

5 ×4

8 ×4

3 ×6

7.

7 ×10

10 ×8

11 ×1

3 ×3

10 ×5

6 ×10

8.

10 ×3

4 ×10

10 ×7

8 ×10

10 ×9

11 ×2

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 63

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Multiplication Facts Keep practicing the fast facts and multiplying will be a breeze!

Directions: Multiply. a

b

c

d

e

1.

2 ×2

9 ×10

5 ×6

2 ×12

4 ×5

2.

3 ×5

12 ×1

9 ×8

6 ×4

7 ×3

3.

4 ×3

8 ×3

5 ×10

2 ×4

3 ×9

4.

10 ×8

4 ×9

2 ×8

6 ×7

2 ×3

5.

2 ×5

9 ×5

7 ×4

2 ×9

9 ×6

6.

7 ×8

9 ×7

7 ×2

5 ×8

2 ×6

7.

11 ×3

7 ×5

6 ×0

8 ×10

2 ×8

8.

6 ×3

2 ×5

10 ×6

4 ×0

10 ×4

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 64

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply 2 Digits by 1 Digit Multiply the 1 digit number by the value in each place in the 2-digit number.

72 × 4 288

Directions: Multiply. a

b

c

d

e

f

1.

32 × 2

14 × 4

63 × 5

97 × 5

25 × 7

66 × 8

2.

21 × 3

77 × 0

83 × 9

11 × 4

57 × 6

74 × 1

3.

18 × 6

31 × 3

52 × 7

82 × 9

98 ×2

46 ×5

4.

45 ×8

25 × 4

31 ×6

18 ×3

29 ×6

33 × 8

5.

56 × 7

16 ×9

57 ×2

69 ×7

93 × 2

75 ×5

6.

67 ×9

64 ×8

40 ×3

82 ×7

14 ×4

34 × 4

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 65

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply 4 Digits by 1 Digit Use the same technique here! Directions: Multiply. a

b

c

d

e

1.

5261 × 9

3856 × 2

1772 × 7

2152 × 0

4213 × 3

2.

1324 × 5

2135 × 3

1237 × 1

1728 × 9

3529 × 2

3.

1270 × 4

2561 × 4

4260 × 3

3587 × 8

4096 × 4

4.

7302 × 8

2343 × 2

6294 × 6

8095 × 4

4151 × 2

5.

8018 × 7

6587 × 5

3026 × 9

3123 × 7

2516 × 5

6.

7155 × 8

4261 × 6

3650 × 6

2139 × 1

1548 × 5

7.

4231 × 1

3456 × 8

6613 × 7

3090 × 2

2175 × 3

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 66

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply 7 Digits by 1 Digit Let’s keep going with 7-Digits. Directions: Multiply. a

b

c

d

1.

3,162, 613 × 9

4,162,132 × 2

2, 561, 089 × 6

4, 257, 035 × 5

2.

3, 752, 914 × 6

3,162, 755 × 5

2,131, 321 × 7

4, 213, 783 × 8

3.

4, 832,116 × 4

2,195, 037 × 7

5, 632, 546 × 6

3, 493, 981 × 4

4.

3, 216, 211 × 4

1, 221, 312 × 8

8, 378, 545 × 7

7, 600, 557 × 9

5.

2,175, 243 × 6

1, 456,173 × 8

4, 682,134 × 5

9,146,135 × 1

6.

6, 613, 342 × 5

1, 827, 570 × 4

9, 332, 892 × 3

8, 290, 213 × 2

7.

4, 281, 300 × 9

4, 356, 732 × 3

2, 539, 421 × 7

5, 924, 665 × 3

8.

2, 841, 316 × 2

8, 453, 748 × 5

3, 567, 030 × 4

3, 703, 598 × 6

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 67

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Decimals Count the total number of decimal places in the factors to place the decimal point in the product. 1

8.6 × 0.2 172 000 172 .

There are 2 decimal places in all. The decimal point in the product is placed 2 spaces from the right

Directions: Multiply. Place decimals in the correct places. a

b

c

d

e

1.

0.78 × 0.2

1 .2 × 0.3

2 .4 × 0. 1

6.525 × 2

0.68 × 7

2.

0.558 × 3

3.60 × 0.2

50.4 × 4

0.72 × 8

287.3 × 6

3.

0.0203 × 7

8.640 × 5

0.354 × 9

4.3 ×4

0.49 × 3

4.

0.46 × 8

6.3 ×7

1.09 × 4

4.8 ×2

5.2 ×7

5.

17.4 × 8

3.015 × 2

4.31 × 3

2.41 × 4

74.3 × 6

6.

7.6 ×4

8.2 ×5

3.44 × 8

72.1 × 6

61.4 × 9

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 68

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply 2 Digits by 2 Digits Multiply each bottom number by each of the top numbers from right to left. Then, add the products. 62 × 21 62 1240 1302

Directions: Multiply. a

b

c

d

e

f

1.

32 × 12

41 × 10

63 × 12

95 × 14

74 × 19

59 × 16

2.

28 × 15

16 × 54

62 × 70

84 × 60

73 × 90

37 × 40

3.

39 × 60

45 × 12

42 × 33

38 × 73

46 × 28

31 × 23

4.

47 × 17

54 × 26

37 × 41

42 × 13

27 × 42

36 × 27

5.

72 × 35

81 × 30

25 × 31

23 × 13

45 × 51

33 × 21

6.

82 × 18

32 × 44

12 × 42

14 × 66

61 × 30

44 × 31

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 69

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply 4 Digits by 2 Digits You can do this!

Directions: Multiply. a

b

c

d

e

f

1.

3126 × 42

4032 × 14

2134 × 71

8197 × 32

4640 × 60

4387 × 34

2.

5401 × 21

3697 × 75

1491 × 20

2158 × 38

3065 × 23

1961 × 12

3.

1974 × 21

1938 × 13

1232 × 11

2148 × 51

2374 × 97

3165 × 35

4.

1605 × 31

8308 × 40

9787 × 17

7382 × 22

6615 × 81

1990 × 13

5.

3375 × 17

5695 × 44

9831 × 32

4950 × 14

4475 × 10

6105 × 62

6.

4096 × 92

6734 × 99

2011 × 69

6144 × 15

3288 × 85

9566 × 57

7.

3761 × 47

1042 × 31

5213 × 16

7250 × 54

5309 × 95

1650 × 23

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 70

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply 7 Digits by 2 Digits Same procedures, bigger numbers! Directions: Multiply. a

b

c

d

1.

6, 064, 237 × 14

4, 998, 775 × 48

6, 750, 543 × 62

1, 031, 262 × 40

2.

3, 257, 465 × 25

8, 765, 418 × 36

6, 256, 050 × 97

3, 894,144 × 59

3.

4, 067, 059 × 50

2, 345, 621 × 19

4, 555, 081 × 36

7, 733, 659 × 21

4.

5, 370, 957 × 61

4, 242, 522 × 77

9, 808, 486 × 29

4, 943, 325 × 78

5.

4, 440,146 × 82

2, 538, 310 × 92

4, 332,149 × 71

6,142, 243 × 67

6.

1, 742, 594 × 73

6, 509, 006 × 81

1, 431, 298 × 16

2,140, 438 × 39

7.

1, 211, 435 × 21

1, 037, 459 × 60

1, 500, 397 × 28

6, 693, 826 × 19

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 71

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Decimals Practice multiplying decimals by larger decimals.

Directions: Multiply. a

1.

9.45 × 3.5

2.

7.6 × 0.06

3.

b

3.06 × 4.2

c

d

e

8.25 × 0.3

5.95 × 0.35

3.9 × 7.3

1.4 × 2.9

7.25 × 4.3

2.21 × 8.9

4.9 × 1.3

44.3 × 0.1

3.45 × 8.3

6 .5 × 42.5

11.9 × 5.6

8.6 × 2.3

4.

14.35 × 2.8

2.8 × 12.2

1. 47 × 0.62

15.3 × 0.1

59.0 × 1 .1

5.

2.99 × 4.8

7.49 × 0.39

19.2 × 7.1

4.19 × 3

12.2 × 4.3

6.

3.32 × 14

8.72 × 6

37.3914 × 2.3

18.53 × 4.2

17.76 × 1 .4

7.

13.3741 × 29

67.2614 × 4.2

14.9233 × 54

216.461 × 62

493.4132 × 71

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 72

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Division Facts Practice those division skills!

Directions: Divide. a

b

c

d

e

f

)

8 16

)

9 27

)

9 18

)

12

)

2 8

)

8 0

)

5 20

1.

6 18

)

4 12

)

5 45

2.

7 21

)

6 36

)

2 14

)

5 40

3.

6 24

)

7 56

)

8 32

)

6 48

4.

8 40

)

3 9

)

2 8

)

3 12

)

3 3

)

8 8

5.

5 10

)

9 90

)

3 30

)

8 56

)

4 24

)

5 0

6.

9 72

)

4 36

)

14

)

18

)

9 9

)

2 22

7.

3 21

)

9 45

)

2 6

)

4 44

)

4 20

)

7 14

8.

3 24

)

6 42

)

7 28

)

3 30

)

7 42

)

7 70

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

) ) ) ) ) ) ) )

Date 73

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Division Facts Wow! You’re a division wiz!

Directions: Divide. a

b

c

d

e

f

)

4 8

)

3 15

)

6 48

)

3 12

)

6 54

)

6 30

)

8 48

)

9 36

)

4 32

)

8 72

)

8 64

)

2 16

)

4 28

)

3 6

)

16

)

5 30

)

4 40

)

6 60

)

)

1.

5 35

2.

8 24

3.

2 18

)

7 63

4.

6 12

)

3 18

5.

9 63

)

2 12

)

2 20

5 15

)

2 10

)

9 99

6.

8 80

)

4 0

)

10 100

)

5 5

)

4 16

)

3 9

7.

3 27

)

5 50

)

12 0

)

7 35

)

9 0

)

7 49

8.

9 81

)

10 10

)

9 54

)

5 25

)

5 55

)

3 33

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

) ) ) ) ) ) )

Date 74

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide 2 Digits by 1 Digit Dividing 2 digits by one requires you to take it step by step.

Directions: Divide. a

b

c

d

)

2 64

)

4 68

)

3 27

)

8 40

)

2 10

)

)

9 63

)

8 96

)

4 72

)

3 81

)

5 85

)

4 92

)

6 72

)

4 52

)

7 91

)

7 84

)

6 72

)

8 56

)

9 81

)

7 35

3 15

)

3 21

)

3 87

)

5 60

)

2 24

1.

5 45

2.

5 40

3.

3 24

4.

9 54

5.

6.

2 74

7.

3 81

8.

3 36

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

e

)

6 48

)

)

2 10

4 12

)

6 36

)

5 75

)

5 90

)

4 48

)

3 39

)

2 26

) ) ) ) ) ) )

Date 75

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide 4 Digits by 1 Digit Great work! Keep it up with 4 digit divisors.

Directions: Divide. a

b

)

4 1104

)

7 2114

)

8 1720

)

3 1059

)

5 2245

)

8 1760

)

4 1256

)

3 8256

1.

2 1436

2.

4 3672

3.

4 9228

4.

5 6135

5.

6 1434

6.

7 7105

7.

3 1539

8.

5 3605

c

)

2 4632

)

3 6342

)

6 4764

)

7 5243

)

4 5216

)

2 6242

)

5 2565

)

4 4960

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

d

)

6 7206

)

)

5 1855

)

8 9952

)

1 7105

)

7 6328

)

6 1122

)

1 3976

)

3 6426

) )

)

) )

)

)

Date 76

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide with Remainders Not all quotients are whole numbers. Some have “leftovers” called remainders.

3 R1 9 28 27 1

)

Directions: Divide.Write the remainder next to the quotient. a

b

)

3 41

)

2 29

)

9 66

)

5 26

)

3 101

)

5 92

1.

4 53

2.

3 25

3.

8 55

4.

6 95

5.

2 39

6.

5 98

c

)

5 34

)

6 33

)

3 71

)

7 27

)

5 86

)

8 86

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

d

)

4 26

)

)

7 41

)

4 85

)

8 28

)

9 93

)

7 78

) ) ) ) )

Date 77

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide with Remainders You can now find quotients with remainders from larger numbers.

324 R 6 26 8430 78 63 52 110 104 6

)

Directions: Divide.Write the remainder next to the quotient if necessary. a

b

)

42 8956

)

54 1269

)

7 2117

1.

31 9875

2.

28 776

3.

35 1428

4.

3 6343

5.

3 379

c

42 6751

)

77 2613

63 9008

)

88 1100

)

3 1058

)

6 745

)

8 1924

5 1742

)

8 1719

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

)

)

)

d

) )

)

4 762

)

)

5 421

)

3 536

) )

Date 78

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Decimals Align decimal point of the quotient above that of the dividend.

0.262 2 0.524

)

0.4 0.12 0 .12 04 4 0 Directions: Divide. a

b

)

3 0.459

)

7 0.875

)

5 6.25

)

4 1.02

)

4 3.316

1.

8 0.640

2.

2 0.468

3.

9 2.898

4.

2 0.822

5.

7 39.2

c

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

)

4 0.328

6 1.518

)

8 1.152

)

6 1.938

)

5 0.655

) )

1 0.541

)

3 2.079

)

9 20.7

Name

d

) ) )

)

8 50.4

)

)

5 25.2

)

Date 79

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide 2 Digits by 2 Digits You might recall some of these by memory. Others may be new to you.

Directions: Divide. a

b

c

d

e

1.

32 84

)

16 74

)

12 96

)

14 98

)

16 84

2.

13 78

)

20 80

)

15 95

)

18 72

)

12 84

3.

12 63

)

13 80

)

10 20

)

40 80

)

14 56

4.

17 68

)

14 75

)

27 91

)

45 90

)

15 60

5.

13 94

)

15 90

)

23 69

)

17 85

)

10 60

6.

19 95

)

24 48

)

13 65

)

11 88

)

18 72

7.

13 78

)

31 93

)

14 98

)

12 84

)

13 78

8.

21 63

)

23 92

)

27 81

)

32 64

)

30 90

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

) ) ) ) ) ) )

)

Date 80

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide 4 Digits by 2 Digits You’ll soon be a division expert!.

Directions: Divide.Write any remainder next to the quotient. a

b

c

d

e

1.

27 3564

)

52 2724

)

34 4284

)

26 6318

)

75 9150

2.

27 1430

)

75 3900

)

35 1960

)

25 8550

)

48 1704

3.

20 6020

)

54 1458

)

25 2075

)

42 1890

)

23 3844

4.

32 5280

)

12 2606

)

14 2184

)

26 3175

)

25 7500

5.

23 1732

)

23 5543

)

42 5176

)

75 6375

)

15 6009

6.

25 3525

)

60 1860

)

16 2616

)

22 6754

)

30 1800

7.

60 1200

)

50 8500

)

51 6426

)

48 2400

)

22 1430

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

) ) ) )

)

) )

Date 81

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Decimals It’s an easy move to divide a decimal by a decimal.

)

2.5 305.5

=

122.2 25 3055.0 25 55 50 55 50 50

)

Directions: Divide. Show your work. a

b

c

d

1.

1031.36 ÷ 3.2

22.4 ÷ 5.6

54.12 ÷ 4.1

56.35 ÷ 2.3

2.

560 ÷ 6.4

114.7 ÷ 7.4

442.96 ÷ 9.8

314.64 ÷ 6.9

3.

758.28 ÷ 8.9

163.25 ÷ 2.5

419.24 ÷ 4.7

472.26 ÷ 10.2

4.

1213.38 ÷ 12.6

1642.5 ÷ 14.6

2484.36 ÷ 20.1

1109.25 ÷ 22.5

5.

3074.18 ÷ 32.6

3128.03 ÷ 74.3

4041.72 ÷ 43.6

7954.38 ÷ 82.6

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 82

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Check Multiplication and Division Learn how to check your own work!

8 6 48

)

➝

8 × 6 = 48

➝

4 ×6

4 6 24

)

➝

Directions: Divide.Then, write a multiplication sentence to check your work. a

c

b

1.

6 18

)

5 90

2.

7 35

)

3 24

3.

5 60

)

7 91

4.

4 52

)

2 74

)

)

3 81

)

6 72

)

2 26

)

9 54

) ) )

Directions: Multiply.Then, write a division sentence to check your work. a

b

c

d

5.

12 ×7

9 ×7

13 ×4

9 ×9

6.

13 × 3

90 × 5

12 × 3

5 ×6

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 83

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems Remember to look for clues that will help you solve these problems!

Directions: Solve. 1. Grandma has been sick, but with medicine, the doctor says she will get better. If she takes 5 pills, 3 times a day, how many pills does she take in one day?

2. If the ride at the amusement park has 5 cars, which hold 12 people each car, how many people can go on the ride at once?

3. Mr. Hubbard, the band director, wanted to buy kazoos for his band members. The school gave him $90 to buy the kazoos. If the kazoos were $5 each, how many kazoos could Mr. Hubbard buy?

4. Olivia is a good swimmer. She can swim 60 meters in one minute. How long will it take her to swim 180 meters?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 84

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems These problems will help you solve other practical real-life situations!

Directions: Solve. 1. Joshua needs to bake cookies for his school’s bake sale. He must cook 3 dozen chocolate chip cookies, 2 dozen chocolate chunk cookies, 2 dozen sugar cookies, and 3 dozen oatmeal cookies. How many cookies will Joshua cook in all?

2. Larissa and her friends string popcorn and cranberries to put on their holiday tree.They made 5 strings of popcorn and 5 strings of cranberries. Each string was four feet long. How long were the strings all together?

3. Ivan and his friends held a car wash Saturday to raise money for their school. They charged $4 per car. If they made $204, how many cars did they wash?

4. Keisha is making apple pies for the fall festival. Her recipe makes 11 pies, but she wants to make a total of 33 pies. How many times will she have to repeat her recipe in order to make the 33 total pies?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 85

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Multiplication and Division We’ve got to make you an expert at this. Let’s review.

Directions: Solve. a

)

b

c

)

1.

8 40

11 ×9

4 28

2.

9 ×8

7 ×7

9 72

3.

10 × 7

7 ×3

4.

4 44

5.

d

e

)

)

8 64

5 45

12 × 4

7 56

4 20

41 × 3

9 18

13 ×4

60 × 2

14 ×4

7 ×3

8 ×3

34 ×5

22 ×2

19 ×3

31 × 5

6.

50 × 3

25 × 5

11111

)

50 250

7.

13 260

16 ×5

18 216

)

24 192

)

)

) )

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

) )

)

52 × 6

)

)

8 248

Date 86

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Multiplication and Division Review some more, this time with larger numbers.

Directions: Solve. a

b

c

)

1.

451 × 4

5 445

2.

2281 × 7

12 1740

15 6975

3.

3122 × 14

1611 × 20

24 5136

4.

6462 × 30

3654 × 64

84 75, 516

5.

2568 × 42

4933 × 51

54 42, 390

6.

8913 × 454

12 8, 892

74 17, 390

7.

9254 × 253

81, 321 × 27

82 46, 248

332 × 6

)

)

)

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

)

9 504

1245 × 6

)

3113, 857

)

76 56, 392

)

21 9, 765

) )

Name

d

)

)

)

3451 × 163

)

29 6, 844

Date 87

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Fractions with Like Denominators To find the sum of fractions with like denominators, just add the numerators.

5 1 6 + = =1 6 6 6

Directions: Add. Simplify if necessary. a

b

c

d

1.

1 2 + 3 3

2 3 + 4 4

8 2 + 8 8

5 2 + 9 9

2.

1 5 + 6 6

2 2 + 7 7

3 1 + 5 5

2 3 + 6 6

3.

5 2 + 8 8

4 5 + 9 9

3 1 + 7 7

2 5 + 10 10

4.

3 3 + 7 7

1 4 + 9 9

7 1 + 8 8

7 9 + 10 10

5.

6 1 + 8 8

2 2 + 9 9

7 11 + 12 12

4 9 + 6 6

6.

3 3 + 5 5

3 9 + 10 10

8 5 + 9 9

11 23 + 13 13

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 88

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Fractions with Unlike Denominators Here’s how to find the sum of fractions with unlike denominators. 14( ×2) 28 = 15( ×2) 30 12( ×3) 36 + = 10( ×3) 30 64 32 2 = =2 30 15 15

1) Find a common denominator. 2) Multiply the numerator by the factor it takes to get the denominator common. 3) Add numerators and place the sum over the common denominator. 4) Simplify.

Directions: Add. Simplify if necessary. a

b

c

d

1.

7 10 2 + 5

2 5 1 + 2

1 2 1 + 5

2 3 4 + 5

2.

1 2 7 + 8

7 8 1 + 2

1 4 2 + 3

5 6 3 + 5

3.

3 4 1 + 3

5 6 1 + 3

5 6 1 + 2

2 5 1 + 3

4.

2 3 3 + 4

3 4 1 + 8

5 12 1 + 4

3 5 1 + 4

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 89

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Fractions with Like Denominators Now, practice subtracting fractions!

9 3 6 3 − = = 10 10 10 5

Directions: Subtract. Simplify if necessary. a

b

c

1.

5 4 − 9 9

7 3 − 10 10

7 1 − 8 8

5 2 − 7 7

2.

4 2 − 5 5

6 4 − 7 7

7 4 − 15 15

11 2 − 12 12

3.

9 7 − 10 10

8 2 − 9 9

7 3 − 8 8

5 1 − 6 6

4.

11 3 − 12 12

9 3 − 10 10

5 2 − 9 9

6 4 − 7 7

5.

2 1 − 3 3

5 1 − 4 4

7 5 − 5 5

9 6 − 3 3

6.

8 1 − 9 9

9 7 − 10 10

12 7 − 8 8

9 4 − 7 7

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

d

Date 90

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Fractions with Unlike Denominators To subtract fractions with unlike denominators, start by finding a common denominator! 7 ( ×2) 14 = 5 ( ×2) 10 3 3 − = 10 10 11 1 =1 10 10

Directions: Subtract. Simplify if necessary. a

b

c

d

e

1.

8 9 1 − 3

5 6 7 − 12

5 6 2 − 5

9 10 1 − 2

7 12 1 − 4

2.

7 8 1 − 4

2 3 1 − 2

2 3 4 − 9

7 8 1 − 3

5 6 3 − 7

9 10 2 − 5

5 6 2 − 3

4 5 3 − 10

11 12 1 − 6

2 3 1 − 4

7 10 1 − 5

3 4 1 − 5

2 3 1 − 6

3 5 1 − 3

5 6 1 − 3

3.

4.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 91

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Multiplying Fractions When you multiply two fractions, you are finding “a fraction of a fraction.”

4 out of 5 parts are shaded

1 4 of = 3 5

4 5

1 4 4 × = 3 5 15

Directions: Use the pictures to complete. a

b

1.

1 3 of 3 7

3 7

1 1 of 3 2

1 2

1 3 × = 3 7

1 1 × = 3 2

2.

1 3 of 2 5

3 5

1 5 1 1 × = 2 5

1 3 × = 2 5

1 1 of 2 5

3. € 1 5 of 3 8

5 8

€

1 5 × = 3 8

2 5 × = 3 6

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

2 5 of 3 6

5 6

Date 92

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Fractions Multiplying fractions is as easy as multiplying whole numbers.

7 × 3 21 = 8 × 4 32

Remember! Any whole number 14 14 = can be written as a fraction. 1

Directions: Multiply. Simplify if necessary. a

b

c

d

1.

3 4 × 7 5

4 3 × 7 8

3 1 × 5 3

3 7 × 10 9

2.

3 1 × 5 2

5 1 × 7 4

6 2 × 7 3

2 5 × 3 7

3.

5 6 × 9 10

3 2 × 5 5

1 7 × 4 8

9 5 × 10 6

4.

3 1 × 7 4

5 1 × 9 2

2 1 × 5 3

7 11 × 8 12

5.

7 2 × 8 5

1 7 × 4 8

4 5 × 7 6

5 15 × 12 25

6.

6 1 × 7 3

7 1 × 8 6

3 5 × 4 12

9 5 × 15 12

7.

3 1 × 4 5

2 3 × 5 7

3 2 × 8 9

8 3 × 9 8

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 93

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Mixed Numbers To multiply mixed numbers, simply write them as a fraction.

3 1 1 ×1 = = 5 6

8 7 42 × = 5 6 30

=

7 5

Directions: Multiply. Simplify if necessary. a

b

c

d

1.

3 3 1 ×1 8 7

3 3 1 ×3 5 4

3 1 1 ×1 5 6

1 1 1 ×3 6 2

2.

1 1 2 ×3 4 3

4 3 1 ×1 5 4

2 1 2 ×4 3 5

1 1 1 ×2 2 4

3.

2 1 3 ×8 7 4

1 1 1 ×3 8 3

1 1 2 ×2 2 3

1 1 2 ×1 4 5

4.

2 6 2 ×2 5 7

2 4 4 ×1 3 5

1 1 3 ×2 8 5

1 5 4 ×5 3 6

5.

1 1 5 ×2 5 4

4× 2

6.

1 1 7 ×2 2 4

1 1 9 ×6 5 3

1 1 2 ×2 3 7

2 1 3 ×2 5 4

7.

1 2 3 ×2 5 8

1 5 7 ×6 8 6

2 3 8 ×3 5 7

1 2 4 ×5 2 3

1 2

3× 3

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

1 3

1 5 ×6 4

Date 94

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Dividing Fractions Once you know how to multiply fractions, dividing is a snap! Just flip the divisor and multiply. 3 5 3 9 27 ÷ = × = 8 9 8 5 40 Directions: Write the reciprocal of each number. a

b

c

d

1.

8

2 4

5 6

1 9

2.

1 2

14

7 8

12

3.

3 4

1 4

1 24

3 5

Directions: Write the multiplication sentence that will solve each division problem. a

b

c

4.

5 1 ÷ 6 2

1 ÷5 3

3 1 ÷ 8 4

5.

3 1 ÷ 10 5

1 1 ÷ 4 3

2 1 ÷ 3 5

6.

1 1 ÷ 3 2

4 1 ÷ 5 4

1 2 ÷ 3 3

7.

3 4 ÷ 4 3

9 6 ÷ 10 1

3 5 ÷ 7 9

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 95

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Fractions You can do this! Let’s practice dividing fractions.

Directions: Divide. Simplify if necessary. a

b

c

d

1.

3 6 ÷ 4 7

1 1 ÷ 9 6

1 1 ÷ 10 12

1 1 ÷ 6 4

2.

1 5 ÷ 6 8

3 1 ÷ 4 6

3 3 ÷ 7 8

5 3 ÷ 8 4

5 3 ÷ 6 10

1 5 ÷ 4 6

3 5 ÷ 10 12

3.

6÷

1 2

4.

2 2 ÷ 3 5

1 3 ÷ 4 5

2 1 ÷ 5 7

5 7 ÷ 8 8

5.

5 1 ÷ 6 3

3 4 ÷ 10 9

12 4 ÷ 1 5

2 2 ÷ 7 3

6.

4 2 ÷ 5 3

6÷

3 4

2 ÷5 5

3 7 ÷ 5 8

7.

8 5 ÷ 9 9

2 4 ÷ 5 5

1 1 ÷ 6 6

9 7 ÷ 10 8

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 96

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Mixed Numbers You already know all the steps to dividing with mixed numbers.

1 15 15 15 2 2 7 1 ÷7 = ÷ = × = 8 2 8 2 8 15 8 2( ÷2) 1 = 8( ÷2) 4 Directions: Divide. Simplify if necessary. a

b

c

d

1.

1 1 6 ÷2 4 3

1 1 3 ÷5 3 2

1 1 3 ÷1 4 4

3 1 1 ÷2 5 2

2.

1 1 7 ÷2 2 4

1 1 4 ÷2 3 2

3 1 1 ÷5 4 2

1 4 2 ÷4 6 5

2

5 2 ÷1 12 3

1 3 5 ÷4 3 8

1 1 5 ÷3 4 3

6

4.

7 1 7 ÷8 8 4

4 5 6 ÷3 5 6

2 3 4 ÷3 3 4

1 3 2 ÷2 3 4

5.

5 5 1 ÷2 7 7

5÷ 2

4 1 ÷1 3 2

2 1 7 ÷ 5 4

6.

1 3 4 ÷2 5 5

3 7 4 ÷6 5 5

2 7 ÷ 12 5

7 1 1 ÷4 8 6

3.

2 3

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

3 1 ÷1 10 3

Date 97

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems You can solve these in a fraction of the time you would have taken before you learned about fractions! Directions: Solve. 1. Jose made a birthday cake for Madison. He used half a cup of sugar for every 3 and a half cups of flour. If he used 28 cups of flour, how many cups of sugar did he use?

2. Ming’s father has a cattle farm with a herd of 100 cows. It takes a third of an acre of pastureland to feed each cow. How many acres does it take to feed their entire herd?

3. It takes Angel 97 seconds to skate around the ice rink.The ice rink is a half mile around. How long does it take Angel to skate 2 miles?

4. Maria has a cookie recipe which makes 20 cookies and uses two-thirds cup of milk. If Maria only wants to make five cookies, how much milk will she need?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 98

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems Go on, read some more fraction stories! Directions: Solve. 1. Ling wants to become a better pitcher. She spends 10 hours a week practicing pitching, 7 hours a week running, and 3 hours per week weight training.What fraction of her time is spent on pitching practice?

2. Fourteen people, or about a third of the maximum number of people allowed, have already signed up for the golf tournament. How many more people can still sign up?

3. Brandon and Manuel leave Manhattan on a fifteen-minute ferry toward Liberty Island at 2:38 P.M. to visit the Statue of Liberty.They will spend oneand-one-fourth hours on the island.What time will they return to Manhattan?

4. At the Harry Potter convention, one-fourth of the people are students, one-fourth are teachers, and one-sixth are authors of other books for children and teens. The rest of the people are employees of the convention center. If there are 348 people at the convention, how many are employees of the center?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 99

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Fractions Let’s review what we’ve learned about fractions. Directions: Add, subtract, multiply, or divide. Simplify if necessary. a

b

c

d

1.

5 1 − 6 6

3 7 + 8 8

1 1 − 2 9

7 2 − 10 5

2.

5 1 + 8 8

5 1 + 8 6

4 1 − 9 9

5 3 − 6 4

3.

1 1 × 3 3

2 1 × 9 2

6 3 ÷ 7 4

3 ÷8 8

4.

5 3 + 6 5

2 4 + 5 5

4 1 × 5 2

3 4 ÷ 8 5

5.

2 3 + 3 4

9 4 − 10 10

7 1 − 12 4

5 1 ÷ 6 4

6.

3 3 − 4 5

7 1 + 8 3

2 1 × 3 4

3 1 + 4 3

7.

15 7 − 16 16

5 3 × 2 16

7 1 ÷ 8 3

2 4 + 9 9

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 100

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Fractions Keep practicing! Directions: Add, subtract, multiply, or divide. Simplify if necessary. a

b

c

d

1.

7 7 + 8 10

3 2 + 4 3

5 3 − 12 12

7 1 + 12 4

2.

5 2 − 8 8

7 7 + 12 8

11 2 + 12 8

1 1 + 9 2

3.

3 4 × 8 5

8×

5 3 ÷ 8 5

1 5 ÷ 8 6

4.

1 3 8 ×2 3 4

1 7 9 ÷2 4 8

4÷

5.

1 1 − 3 6

3 7 2 ×1 5 10

2 1 4 ÷3 3 3

3×

6.

2 1 + 3 4

7 2 − 8 5

1 1 + 8 2

1 1 4 ×6 6 4

7.

4 3 2 ×1 5 10

1 1 9 ×3 2 3

7 4 − 8 8

6÷

3 4

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

1 3

4 1 4 ×2 5 10

1 2

4 5

Date 101

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 102

Write Equations An equation is a number sentence with two equal sides.

The product of a number and 6 is 24: n x 6 = 24

Directions: Write the equations. Use n to stand for the missing number. a

b

1. Thirteen more than a number is 25:

The difference between 16 and a number is 10:

2. A number times 7 is 21:

48 divided by a number is 8:

3. 2 less than a number is 14:

4 less than twice a number is 8:

4. The product of 4 and a number is 32:

The sum of 64 and a number is 82:

5. 7 less than 14 + 4 is a number:

19 subtracted from a number is 20:

6. 9 more than a number divided

The sum of 15 and a number is the

by 2 is 15:

same as the product of 5 and 5:

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 102

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 103

Use Order of Operations There’s a proper order to solving equations.

1. Parentheses 2. Multiply, then divide from left to right 3. Add or subtract from left to right

4 + 4 ¥ (3 + 1) - 2 123 4 + 4{ ¥ 4- 2 412 +3 16 - 2 20 -32 12 18

Directions: Solve using order of operations. a

b

1. 7 - 3 ∏ 9

4 ¥ (9 ∏ 3) + 8

2. 4 ¥ 6 ∏ 2

28 + 21 ∏ 3 ¥ 8

3. 75 - 50 - 25

6¥ 8+ 4∏ 2

4. 81∏ 9 + 2 ¥ 3

7 + 35 ∏ 5 + 4

5. 8 + (4 - 2)

(9 ¥ 4 ) + 2 - 1

6. (9 - 1) + 7 ¥ 6

16 - (4 ¥ 4) + 8

7. 2 + (45 - 15) ∏ 5

90 + 5(6 ∏ 3)

8. 32 ∏ ( 4 ¥1) + 6

42 ∏ 6 + (9 ¥ 12)

9. 12 ∏ 6 + 10

19 - 4 + 45 ∏ 9

10. 40 - 13 + (6 ¥ 2)

61- 9(4 + 2)

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 103

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 104

Solve Equations with Parentheses To solve equations, work to get the unknown value on one side alone. Solve for n: (n+3) x 2 = 8 Divide both sides of the equations by 2: (n + 3) x 2 ÷ 2 = 8 ÷ 2 n+3=4 Subtract 3 from each side:

n+3–3=4–3 n=1

Directions: Solve for n. a

b

1.

(4 + 6)n = 30

9(6 + n) = 135

2.

Ê 9ˆ Á ˜ +1= 4 Ë n¯

Ê12ˆ Á ˜ + 4 = 10 Ën¯

3.

7 - (3 + n ) = 1

(n - 2 ) ¥ 3 = 30 4

4.

50 - 32 = n + 8

(4 - n ) ¥ (16 - 7) = 9 2

5.

Ê nˆ Á ˜ ¥ 19 = 114 Ë 2¯

(n + 136)(66 ¥ 4) = 36, 960

6.

80 + (n ¥ 6) = 164

Ê120ˆ Á ˜ (9 ∏ 3) = 90 Ë n ¯

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 104

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 105

Complete Function Charts Now you can complete equations with missing values.

y = 2x x y 0 0 1 1 3

When x is 0, y must be ___

When x is 1, y is

y = 2x y = 2 (0) y=0

y = 2x y = 2 (0) y=0

Directions: Complete the function charts by solving for y in each equation. a

b

c

1.

y = 2x + 3 x y 0 1 2 4 6

y = 2x + 5 x y 1 2 3 4 5

y = 4x – 3 x y 0 3 5 10 15

2.

y = 2x – 1 x y 0 1 3 4 5

y=x–3 x y 0 4 5 6 8

y = 10x + 2 x y 2 4 6 10 12

3.

y = 2x – 3 x y 0 3 5 6 7

y = 3x + 5 x y 0 1 5 7 10

y = 0.5x + 2 x y 1 2 4 6 8

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 105

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 106

Graph Functions Recall what you know about line graphs. Fill in the values and plot the points!

y = 2x + 1 x y 0 1 2 3

When x = 0 y = 2(0) + 1 y=1

When x = 2 y = 2(2) + 1 y=5

When x = 1 y = 2(1) + 1 y=3

When x = 3 y = 2(3) + 1 y=7

Directions: Complete the table for each equation. Graph any 3 ordered pairs. a

b

1.

y = 0.5x + 1 x y 0 2 4 6 8

y = 2x + 4 x y 0 1 2 3 4

2.

y = 4x – 4 x y 0 1 2 3 4

y = 3x + 1 x y 0 1 2 3 4

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 106

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 107

Review Equations Time to show off your skills! Directions: Write equations, using n to represent the missing number. a

b

1. 12 less than a number is 16:

100 subtracted from a number is 36:

2. The product of a number and 12 is 48:

The sum of 61 and a number is 121:

3. 6 less than twice a number is 18:

7 less than a number divided by 3 is 0:

Directions: Solve. Remember to use the proper order of operations. a

4.

16(3 ¥ 2)

5.

4+

6.

(64 +14 -19) ¥ 3

b

43 +

18 6

16 4

(22 + 3 - 1) 12 137 ¥ 2 + 17

Directions: Solve for n. a

b

7.

(21+ n ) =1 2

66n - 4 = 260

8.

(n - 82) + 7 = 15

27 + 19 = 28 n

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 107

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 108

Solve Word Problems Now you can use an equation to solve a word problem.

Directions: Write an equation for each problem using n to represent the missing number.Then figure out the value of n. 1. The temperature in Cancun, Mexico is 4 times higher than the temperature in Portland, Maine. If it’s 84 degrees Fahrenheit in Cancun, what is the temperature in Portland?

2. Filipe has driven 573 miles, but he still has a number of miles to go. If the total distance to his destination is 2,346 miles, how many miles does he have to go?

3. The 9 students in Miss Jacob’s reading group decided to buy her a gift at the end of the year. If each student contributed $15, how much did the gift cost?

4. Sandra picked a big bunch of dandelions for her mom and dad. She gave 18 to her mom and 14 to her dad. How many dandelions did she pick in all?

5. The elephant weighs 5 times as much as her baby. If the mother elephant weighs 4,125 kilograms, how much does her baby weigh?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 108

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 109

Understand Angles Angles are measured in degrees. Directions: Use a protractor to measure each angle. a

b

c

1.

2.

3.

4.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 109

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 110

Identify Types of Angles There are four basic types of angles.

right

obtuse

acute

straight

Directions: Name the type of angle. a

b

c

1.

2.

3.

4.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 110

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 111

Convert Customary Lengths Measure lengths in different ways!

1 ft = 12 in 1 yd = 36 in

1 yd = 3 ft

1 mi = 5,280 ft 1 mi = 1,760 yd

90 in = ? yd 90 in = 90 ÷ 36 90 in = 2.5 yd

3 mi = ? ft 3 mi = 5,280 x 3 3 mi = 15,840 ft

2.5 yd

)

36 90.0 72 18 0 18 0

Directions: Convert the lengths. 1. How many feet are in 9 yards? 2. How many inches are in 10 feet? 3. How many yards are in 3 miles? 4. How many inches are in 12 1/2 yards? 5. How many feet are in 7 miles? a

b

6. 8 yd =

ft

60 in =

7. 12 in =

ft

342 mi =

8. 21 ft =

yd

1/2 mile =

9. 8,800 yd =

mi

1/2 ft =

10. 15,840 ft =

mi

640 yd =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

ft ft yd in in

Date 111

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 112

Convert Metric Lengths Learn to convert lengths using the metric system, too.

1cm = 10mm 1m = 100cm

1m = 1,000mm 1km = 1,000m

30cm = 10 ¥ 30 = 300mm 4, 000m = 4, 000 ∏1, 000 = 4km

Directions: Convert. a

b

1. 40 cm =

mm

26m =

2. 276 m =

mm

96 km =

3. 210 m =

cm

370 cm =

m

9,422 m =

km

4. 6,256 mm =

m

5. 2,000 cm =

mm

10 m =

cm m

km

6. How many mm in 36 cm? 7. How many cm in 6.6 m? 8. How many m in 20 km? 9. How many mm in 3m? 10. How many cm in 42 m?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 112

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 113

Understand Perimeter The perimeter is the distance around a figure. 5 5

perimeter is 5 + 5 + 5 + 5 = 20

5 5

Directions: Write the perimeter equation for each shape or sentence. a

b

c

1.

P=

P= 2.

P=

All six sides of a polygon are of equal length (3 yd)

A triangle has sides of the following lengths: 6 cm, 9 cm, 14 cm

P=

P=

P=

Directions: Draw the shape with the following perimeters. a

3.

A square with a perimeter of 16

b

A parallelogram with a perimeter of 30

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

c

A triangle with sides of the following lengths: 1.5 m, 2 m, 5 m

Date 113

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 114

Find Perimeters To find the perimeter, add the lengths of all the sides.

20 +18 +16 = 54ft.

Directions: Find the perimeter. a

b

c

1.

2.

3.

4.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 114

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 115

Find Areas of Parallelograms The area is the number of square units needed to cover a figure.

A = base x height A = 10 x 3 = 30 sq ft

Directions: Find the area. a

b

c 20

1. 15

A=

12

A=

A=

2. 12

A=

A=

A=

Directions: Write the area formula for each figure. Complete the problem.Write the answer in the appropriate units. 3. Parallelogram has a 20 inch base and is 12 inches high.

A= =

x

= 4. Parallelogram is 8 meters high with a 14 meter base.

A= =

x

= Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 115

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 116

Find Areas of Triangles The area of a triangle is found by multiplying 1/2 x base x height

Area =

1 ¥ 8 ¥ 6 = 24 2

Directions: Find the area. a

b

c

1.

A=

A=

A=

2.

A=

A=

A=

Directions: Write the area formula for each figure. Complete the problem.Write the answer in the appropriate units. 3. Triangle is 8 ft in height with a base of 12 feet.

A= =

x

= 4. Triangle is 10 inches in height with a 6 inch base.

A= =

x

= Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 116

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 117

Understand Surface Area Surface area is the sum of the areas of all faces on a solid unit.

Area of: front = 5 ¥ 4 = 20 back = 5 ¥ 4 = 20 side 1 = 3 ¥ 4 = 12 side 2 = 3 ¥ 4 = 12 top = 5 ¥ 3 = 15 bottom = 5 ¥ 3 = 15 Total surface area of all faces = 94 square inches Directions: Write the equation for the surface area of each figure. a

1.

b

front = back = side 1 = side 2 = top = bottom =

front = back = side 1 = side 2 = top = bottom =

Directions: Draw and label a sketch of each figure. a

b

10 ¥ 2 10 ¥ 2 4¥ 2 10 ¥ 4 10 ¥ 4

2.

front = back = sides = top = bottom =

3.

length = 10 yds height = 20 yds width = 8 yds

front = back = sides = top = bottom =

length = 9 cm height = 90 mm width = 9 cm

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

10 ¥ 5 10 ¥ 5 4¥ 5 10 ¥ 4 10 ¥ 4

Date 117

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 118

Find Surface Areas Remember to account for all faces when finding the surface area.

Directions: Find the surface area. a

b

c

1.

4 in

10 in

6 in

SA =

SA =

SA =

2.

15 ft

20 in 10 ft 5 in 24 in

SA =

SA =

SA =

3. 4 cm

6 cm

SA =

SA =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

SA =

Date 118

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 119

Understand Volume Volume is the total number of cubes needed to fill a space. It is measured by length x width x height.

length x width x height = 10 ¥ 4 ¥ 3 =

Directions: Write the equation for the surface area of each figure. a

b

c

1.

V=

x

x

V=

x

x

V=

x

x

Directions: Draw and label a sketch of each rectangular prism. a

b

2.

length: 15 m height: 5 m width: 2 m

height: 4 ft length: 6 in width: 3 ft

3.

width: 1 m height: 6 cm length: 8 cm

1 feet long 6 inches wide 4 inches high

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 119

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 120

Find Volumes Use what you know to find volumes of each figure.

Directions: Find the volume a

b

c

1.

2.

Directions: Count the cubes in each prism to find the volume. 3.

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Date 120

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Grade 5 Unit 5

7/20/06

10:27 AM

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Solve Word Problems Let’s see how well you can solve geometry word problems. Directions: Solve. 1. Ricardo has a garden which last year was in the shape of a rectangle measuring 49 meters long by 21 meters wide. This year, he increased the area of the garden by 546 square meters. He did not increase the width, but did increase the length. What is the length of the garden this summer?

2. Holly wants to store boxes in her basement. The dimensions of the basement are 12 feet by 7 feet by 7 feet. If the boxes are each 1 foot by 1 foot by 2 feet, what is the maximum number of boxes Holly can fit in her basement?

3. When it is 1 o’clock, what type of angle is the smallest angle formed by the minute and hour hands?

4. What is the perimeter of an octagon if all sides are 4 yards?

5. The area of a square is 49 square feet. If one side of the square measures 7 feet, what is the perimeter of the square?

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Date 121

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Grade 5 Unit 5

7/20/06

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Solve Word Problems Looking good! Directions: Solve. 1. Find the perimeter of a quadrilateral if each side is 16 inches.

2. When it is 9 o’clock, what type of angle is the smallest angle formed by the minute and the hour hands?

3. Find the area of a triangle with a base of 16 in and a height of 4 in.

4. When it is 4 o’clock, what type of angle is the smallest angle formed by the minute and the hour hands?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 122

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Grade 5 Unit 5

7/20/06

10:27 AM

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Review Geometry Time for a review. Directions: Convert. a

b

1. 40 cm =

mm

2. 70 mm =

m

3. 86,010 m =

6 ft =

mm

in

3 miles =

yd

17 feet =

yd

Directions: Name the angle. a

b

c

4.

5.

Directions: Find the perimeter. a

b

6.

19 cm 6 in

16 cm

12 in 14 cm

P=

P= Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 123

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Grade 5 Unit 5

7/20/06

10:27 AM

Page 124

Review Geometry You’re almost there!

Directions: Find the missing values for a rectangular prism. a

b

1. length

c

length 7.42 cm

length 11 m

width 14 in

width 5.72 cm

width 10 m

height 11 in

height 4.75 cm

height

surface area

surface area

surface area

volume 2029.72 in3

volume

volume 220 m3

Directions: Find the area of each parallelogram or triangle. a

b

c 12 m

2.

6m 10 m

A=

A=

A=

Directions: Find the volume of each solid. a

b

c

3.

V=

V=

V=

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 124

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Averages An average of a set of numbers is found by adding the numbers and then dividing by how many numbers there are. Set of numbers: 16, 12, 13, 10, 11 Sum: 16 + 12 + 13 + 10 + 11 = 62 Average: 62 ÷ 5 = 12.4 Directions: Find the sum of the values listed.What number would you use to divide into the sum to find the average? 1. 42, 34, 61, 23, 53

SUM:

DIVISOR:

2. 2, 12, 16, 4, 8

SUM:

DIVISOR:

3. 21, 25, 22, 36

SUM:

DIVISOR:

4. 19, 19, 19, 19, 18

SUM:

DIVISOR:

Directions: Solve. 5. Mark hit 6 balls the first game, 2 balls the second game, and 10 balls the third game. What was his average number of hits?

6. The high temperatures this week were as follows: 74, 82, 93, 72, 81, 71, and 80. What was the average temperature for the week?

7. Betsy spends 2 hours per week doing homework. Carmen spends 10 hours per week doing homework. Tom spends 6 hours per week doing homework. What is the average amount of time among these 3 students spent doing homework?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 125

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Averages Now, you try!

Directions: Find the average for each set of numbers. 1. 12, 20, 36, 55 2. 6, 3, 8, 120, 273, 1 3. 1,722; 5,787; 702 4. 8, 2, 5 5. 16, 14 6. 0.250, 0.75, 0.125, 0.375 Directions: Solve. 7. If a baseball player comes to bat 1000 times and gets 350 hits, what is the player’s average?

8. Tom has 120 red balls, Pam has 130 yellow balls, and Aasia has 50 green balls. What is the average number of balls each person has?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 126

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Probability Probability is the ratio of favorable outcomes to all possible outcomes. The probability of spinning 2 is 1:6. P(2) = 1:6 The probability of spinning a number that is less than 3 is 2:6, or 1:3. P(n<3) = 1:3 The probability of spinning a number that is less than 7 is 6:6, or 1. P(<7) = 1 The probability of spinning a 7 is 0:6, or 0. P(7) = 0

Directions: Find the probabilities. Express them in the simplest form. 1. P(A) 2. P(D) 3. P(not A) 4. P(not C) 5. P(letters A or B) Directions: Write an event for the numbered cards in the hat. 6. P(

) is 1:4

7. P(

) is 1

8. P(

) is 0

9. P(

) is 1:2

13

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Date 127

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Probability Keep practicing! You’re doing great!

Directions: Find the probabilities. Express them in the simplest form.

1. P(green) P(purple or red) P(blue)

2. P(hexagon) P(circle) P(not a rectangle)

3. P(diamond) P(not a heart) P(club or spade) P(not a diamond)

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Date 128

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Understand Odds Odds in favor of something happening are expressed as a ratio between favorable and unfavorable events. Odds against something happening are expressed as a ratio between unfavorable and favorable events. Directions: Think about a deck of playing cards to write these odds. 1. There are 26 red cards and 26 black cards in a deck.What are the odds of drawing a red card? 2. What are the odds against drawing a red card? 3. There are 4 queens in a deck. What are the odds of drawing a queen? 4. There are 13 cards of each suit in the deck.What are the odds of drawing a spade? 5. What are the odds against drawing a 10?

Directions: Solve. 6. The odds against rain today are 25%.What are the odds for rain? 7. The odds of choosing a piece of red jewelry in the pile are 16/30. How many pieces of red jewelry are there? 8. The odds against winning the raffle are 10:1. What are the odds in favor of winning? 9. 2 out of every 10 people make a hole in one at the golf course. What are the odds against making a hole in one?

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Date 129

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Odds Figure these odds.

Odds against an event:

Odds in favor of an event: favorable outcomes unfavorable outcomes

unfavorable outcomes favorable outcomes

Directions: Determine the odds for each event. 1. What are the odds of spinning a 6? 2. What are the odds of spinning an odd number? 3. What are the odds of spinning a multiple of 2? 4. What are the odds of spinning a multiple of 3? 5. What are the odds against spinning a 5? 6. What are the odds against spinning an even number? 7. What are the odds against spinning a 7 or a 6? 8. What are the odds of spinning a number less than 5? Directions: Give the odds for each situation. Express odds as the simplest ratio. 9. There is an 80% chance of rain in the forecast. What are the odds against rain? 10. For every 10 attempts at making a basket,Todd makes 8. What are the odds that Todd makes a basket? 11. 4 out of every 100 people win the lottery. What are the odds against winning? Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 130

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Mean, Median, and Mode There are three ways of expressing an average of a group of numbers.

7, 3, 5, 9, 5 The mean is the arithmetic average: 7+3+5+9+5 = 29 29÷5 = 5.8 The median middle number when numbers are sorted in numerical order: 3, 5, 5, 7, 9. Median = 5 The mode is the number occurring the most frequently. Mode = 5 Directions: List whether the number is the mean, median, or mode. [Hint: Sometimes, a number can be more than one of these!] 1.

2, 3, 12, 24, 19: 12 is the

2.

16, 14, 16, 15, 9: 16 is the

3.

5, 6, 6, 4, 4: 5 is the

4.

12, 14, 17, 17, 15: 15 is the

5.

15, 20, 25, 25, 40: 25 is the

6.

13, 16, 13, 19, 20: 13 is the

7.

80, 75, 90, 80, 55, 70, 95: 80 is the

8.

45, 39, 200, 45, 42, 20, 33: 45 is the

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Date 131

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Mean, Median, and Mode Here’s your chance to show what you know about these measures of “central tendency.” Directions: Find the mean of each set of numbers. a

b

1.

13, 11, 12, 10, 7

10, 9, 8, 11, 7

2.

8, 13, 13, 6, 5

30,34, 23

3.

44, 51, 37

19, 23, 48, 50

Directions: Find the median of each set of numbers. a

b

4.

5, 15, 25, 45, 90

16, 18, 23, 25, 29

5.

26, 28, 29, 31, 42, 37, 71

2, 6, 7, 9, 12

6.

12, 13, 9, 6, 4

105, 199, 149, 289, 469

Directions: Find the mode of each set of numbers. 7.

14, 7, 27, 14, 13, 4, 7, 12, 14

8.

8, 22, 33, 8, 22, 16, 32, 22, 78

9.

74, 36, 6, 12, 36, 14, 74, 4, 36

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 132

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems These word problems discuss probabilities!

Directions: Solve. 1. Ashley is playing a game where there is a coin hidden under one of 3 cups and she has to try to guess which cup it is under.What is the probability she will guess correctly on the first try?

2. Vanessa thinks of a whole number between 1 and 24. She asks her aunt to guess what number she is thinking of.What is the probability that Vanessa’s aunt will correctly guess what number she is thinking of?

3. Tani rolls a die 155 times and gets these results: A “1” twenty-eight times, a “2” twenty times, a “3” fifteen times, a “4” thirty-one times, a “5” thirty-two times, and a “6” twenty-nine times.What is the probability she will get a “6” on the next roll?

4. Damita bought candy at the store.There are 5 blue pieces, 2 red ones, 3 purple ones, 11 green ones, and five orange ones.What is the probability that the first piece of candy she pulls out of the bag will not be green?

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Date 133

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems You’re on a roll!

Directions: Solve. 1. What is the probability of randomly pulling a red card from a standard deck of 52 playing cards?

2. Anthony rolls a die with different colors on each of its fourteen sides.What is the probability that he will roll either a red or yellow on his first roll?

3. Ethan has taken 32 math quizzes this year. Of those, he scored 90% on 5 of them and 80% or above on 10 of them.What is the probability that he will score between 80% and 90% on his next quiz?

4. Caleb saw a snake in his backyard on 10 different days during the last 30. What is the probability Caleb will find a snake in his backyard on any particular day?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 134

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Mean, Median, and Mode Let’s do some review.

Directions: Find the average of each set of numbers. a

1.

5, 8, 2, 1

b

c

16, 2, 25, 7

14, 30, 12, 19

Directions: Find the mean, median, and mode for each set of numbers. 2. 12, 13, 7, 10, 9, 12, 11 Mean

Median

3. 40, 42, 78, 60, 73, 66, 40 Mean

Mode

Median

4. 162, 115, 103, 121, 188, 128, 121 Mean 5. 26, 32, 84, 55, 20, 32, 52 Mean

Mode Median

Median

Mode Mode

Directions: Solve. 6. Jordan, Sydney, and Mia played a game of ping pong.Their scores were 20, 16, and 18.What is the mean.What is the median?

7. Jessica, Devin, and Yanmei played a game, too.Their scores were 15,12, and 15.What is the median? What is the mode?

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Date 135

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Probability You’re getting the hang of it!

Directions: Find the probability. A jar contains 19 black, 22 pink, 21 purple, 17 navy, 20 green, and 15 orange marbles. 1. What is the probability of drawing a black marble? 2. What is the probability of drawing a marble that is NOT navy? 3. What is the probability of drawing a marble that is orange or navy? 4. What is the probability of drawing a marble that is NOT pink? 5. What is the probability of drawing a marble that is white? Directions: Find the odds. 6. What are the odds of drawing a black marble? 7. What are the odds of drawing a marble that is NOT navy? 8. What are the odds of drawing a marble that is orange or pink? 9. What are the odds against drawing a purple marble? 10. What are the odds against drawing a pink or purple marble?

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Date 136

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7/20/06

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Page 137

Scope and Sequence

Students

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

137

num ber sen se add pp. itio 6na 34 n ds mu ubt ltip r act lica ion tio na op pp. era nd 35 tio d -5 i v ns isio 8 wit equ n p h p. 5 atio fra 9ctio ns 87 pp. ns geo pp. 102 me 8 -1 8try 08 101 and dat me aa asu nal rem ysi sa ent nd pro pp. bab 109 ility -1 24 pp. 125 -1 36

Grade 5 BM

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Grade 5 BM

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Page 138

Answer Key PAGE

6

1. 5,274,510,935 2. 5,000,000,000+200,000,000+ 70,000,000+4,000,000+500,000+ 10,000+900+30+5 3. 5 billion, 274 million, 510 thousand, 935 4. 400,024 9,062 5. 61,400 84,054,000 6. 64,215 403,942 7. 451,000 200,670,000 8. 962,232,000 56,000 PAGE

1. 2. 3. 4. 5.

PAGE

1. 2. 3. 4. 5.

13 11 39 48 44

PAGE

1. 2. 3. 4. 5.

7

+10 -14 +7 -12 +233

4 40 36 16 -8

PAGE

-5 +12 -1 -9 +9,800

6. 7. 8. 9. 10.

+$20 +5,000 -5 -15 -104

-$1,754 -47 +256 -63 0

8

PAGE

11 3 3 -1 0

-4 -11 -20 -13 -4

6. 7. 8. 9.

-10 57 3 -4

39 68 -1 -5

-32 -10 -7 -7

6. 7. 8. 9. 10.

2 27 48 4 73

-21 -71 -120 5 -6

1 -4 -15 20

9 -3 123 -16 47 -11

2 -33 18 -68 5

-20 -42 -118 16 6

10

11

1. four fifths 2. three fourths 3. seven tenths 4. two thirds 5. 1 1/2 6. 1 3/4 PAGE

12

1. 2 2. 2 3. 3

6 20 14

PAGE

13

20 30 24

5/9 1/5 4/7 5/5 2 3 2/5

one eighth eleven fourths nine thirds eight fifths 2 1/6 2

4. 9 20 27 5. 3/10 7/10 6. 3/4 4/5

1. five tenths, 0.5 eight fifths, 1.6 2. seven tenths, 0.7 one half, 0.5 3. forty-two hundredths, 0.42 three fourths, 0.75 Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

14

1. 2. 3. 4. 5. 6. 7. 8. 9.

> < < > < > > > < < 215; 248; 322; 341 2,612; 6,241; 6,738; 6,741 712,411; 721,116; 732,118; 763,818 1,341,716; 1,432,564; 1,477,405; 2,642,149 10. 56,411; 56,416; 65,114; 65,141 PAGE

11 21 73 -21 51

1. 0.5 6.6 2. 0.92 52.9 3. 7.2 4.32 4. 300.4 200.3 5. 0.621 0.053 6. five tenths fifty-two and nine tenths 7. forty-six hundredths fifty-three and eight tenths 8. tenths ones 9. hundredths hundreds 10. thousandths thousandths 11. ones tenths 12. tens thousands PAGE

4. seventeen thousandths, 0.017 three halves, 1.5 5. 3/10 3/4 2 2/5 6. 1/2 43/100 1 1/5 7. 4/5 1/2 4 3/10 8. 6/25 3/8 7 3/5

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.

1. 2. 3. 4. 5.

20

PAGE

1. 2. 3. 4. 5.

(1,1) (4,7) (9,7) (4,0) (10,10)

6. 7. 8. 9. 10.

D A B J G

C H I F E

(-5,4) (-1,-4) (-2,5) (-3,-1) (0,0)

6. 7. 8. 9. 10.

G B I J H

F A C D E

21

PAGE

1. 2. 3. 4. 5.

(0,0) (6,9) (0,7) (8,5) (3,8)

(2,3) (1,1) (5,4) (-1,2) (5,-1)

22

PAGE

•E •C

60 110 880 700 470 5,900 2,000 2,000 7,100 2,300 4,000 28,000 427,000

40 40 220 80 770 440 90 1,430 320 2,650 500 800 500 300 600 300 200 900 1,000 300 12,000 65,000 7,248,000

17

0.461, 0.46, 0.5 1.278, 1.28, 1.3 4.351, 4.35, 4.4 19.788, 19.79, 19.8 27.643, 27.64, 27.6 91.1 98.8421 994.13 741.453 8.495 37.192 367.9 745.3 365.6388 69.68

PAGE

1. 250 2. Tuesday 3. Monday,Tuesday,Wednesday, and Thursday 4. Saturday and Monday 5. Sunday and Monday;Tuesday and Wednesday 6. Monday and Tuesday;Wednesday and Saturday 7. the day, Monday, and the number of attendees, 100 8. the day, Saturday, and the number of attendees, 400

16

20 110 980 710 960 6,700 4,500 400 8,500 9,300 7,000 17,000 725,000

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

15

> > > > < > > > > = 0.31; 0.32; 0.362; 3.02 0.275; 5.26; 5.27; 5.73 8.99; 9.06; 9.114; 9.6 2.624; 2.742; 3.451; 3.541 8.08; 8.10; 8.21; 8.8

19

PAGE

•I •C

•H

138

•D •B

•G

•E •B

PAGE

1. 2. 3. 4. 5. 6.

•J

•F

•F

•H

23

0.2, 20/100, 20% 0.37, 37/100, 37% 0.77, 77/100, 77% 0.57, 57/100, 57% 0.29, 29/100, 29% 0.02, 2/100, 2% 8.

9.

60.8 9.0 92.15 17 700 PAGE

6. 7. 8. 9.

•I

•A

•J

•D

7.

18

Jose 10 Katie Akira, Katie 75

•A •G

5 orange juice 45% water

1. 2. 3. 4. 5.

24

2.5 1 1 10 80

1.4 1.2 18 60 120

6. 7. 8. 9. 10.

60 5 40 20 10

120 3 14 48 63

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Grade 5 BM

7/20/06

PAGE

1. 2. 3. 4. 5.

1. 2. 3. 4. 5.

PAGE

10% 5% 20% 100% 0.1%

1. 2. 3. 4. 5. 6. 7.

90% 6. 50% 7. 92% 8. 55% 9. 46% 10.

28 3/10, 30% 51/50, 10.2% 3/5, 60% 16 1/4, 1625% 200 1/5, 20,020% 0.06 0.18 0.25 0.17 0.4 0.64 0.34 0.8 0.5 0.49

29

8. 5 9. 6 10. 3 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11.

250% 420% 20% 12% 10% 30% 9% 20% 140% 20% 70% 960% 91% 990% 12%

30

4 10,000 27 1,024 125 81 64 34,300 53 141 42 x 102

100,000 144 100 64 2,187 216 6 1,144 32 x 102 32 x 52 x 62 22 x 7

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

PAGE

32

1. 2003: Pridi,Vertu, Eilosa, Dedrum; 2005: Pridi,Vertu, Eilosa, Dedrum 2. 2005 3. 71.4% 4. 50% 5. 20/100 = 1/5 6. 0.15 PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

33

6,000,000 + 400,000 47,672 +20 -43 +534 -16 0.16 2900.5 6/7 57/100 70/100 130/100 five eighths 59/9 623/100 0.48 240/100 1.16 232/100 2.6 6 5/8 510 61 143

PAGE

35

Answers may vary. 1. 8+1=9, 9–1=8 15+5=20, 20–5=15 40+24=64, 64–24=40 2. 11+5=16, 16–5=11 17+15=32, 32–15=17 51+27=78, 78–51=27 3. 9+7=16, 16–9=7 12+13=25, 25–13=12 23+63=86, 86–63=23 4. 7+12=19, 19–12=7 21+6=27, 27–6=21 52+45=97, 97–45=52 5. 8+5=13, 13–5=8 20+21=41, 41–20=21 66+35=101, 101–35=66 6. 7+8=15, 15–8=7 13+40=53, 53–13=40 96+54=150, 150–96=54

139

36

1. 4 + 12 = 16, commutative 2. 14 + 20 = 34, commutative 3. 120 + 50 = 170, commutative 4. 100 + 0 = 100, zero 5. 150 + 0 = 150, zero 6. 26 + (6 + 7) = 39, associative 7. 20 + 0 = 20, zero 8. 25 + 52 = 77, commutative 9. 620 + 260 = 880, commutative 10. (17 + 87) + 42 = 146, associative 11. (63 + 27) + 15 = 105, associative PAGE

1. 2. 3. 4. 5. 6.

10 10 9 11 9 7

PAGE

1. 2. 3. 4. 5. 6. 1. 2. 3. 4. 5. 6. 7.

9 12 12 16 8 5 16 17 22 26 25 23

8 7 10 9 10 8

27 25 19 22 24 25

1. 2. 3. 4. 5. 6.

13 9 12 7 15 5

13 19 17 14 3 16 12 12 20 17 11 14

20 21 22 23 28 28

7. 8. 9. 10. 11. 12.

18 15 15 20 20 12

16 22 21 20 18 19

20 16 23 27 20 24

24 43 23 30 31 27

85 80 90 37 104 57 125

75 42 115 98 97 125 99

33 74 98 85 68 81 138

24 102 93 104 105 96 154

86 108 113 169 79 80 167

1993 2070 7533 3815 9747 5170 4989

1716 1723 6588 4372 3156 7478 8336

1581 1817 4770 1630 4534 5935 9643

1223 1510 6453 4999 4532 6660 5336

1387 1170 4320 8825 10195 6141 3245

40

41

1. 5,469,071 2,793,166 2. 8,276,766 14,008,916 3. 13,161,725 14,013,656 4. 7,120,065 9,762,691 5. 12,656,634 12,108,231 6. 12,385,183 16,412,809 PAGE

8 7. 6 12 14 8. 7 8 9 9. 11 8 11 10. 13 14 15 11. 8 10 18 12. 6 13

39

1770 1638 3178 8657 6061 9776 10486

PAGE

14 11 11 10 10 6

38

120 58 102 125 83 110 61

PAGE

1. 2. 3. 4. 5. 6. 7.

37

16 14 12 15 17 16

PAGE

34

1. 204; 224; 242 7/100; 7/10; 77/100 2. 163; 361; 631 1/8; 1/7; 1/3 3. 2,479; 2,794; 2,947 45/1000; 0.45; 45/10 4. 0.43; 0.334; 0.434 0.006; 0.16; 6/10 5. 10.07; 10.071; 10.7 2 5/6; 47/10; 23.47 6. -3 7. 0.1 8. 8,000 9. 7 10. hundredths PAGE

63 36 84 54 12x12x12 4th power 2nd power (squared) 3rd power (cubed) 1 0

31

1. 6.1 cm 2. Nicklin 3. C 4. Pedro and Rosalyn 5. 14 students PAGE

1x1 7x7x7 16x16x16x16 20x20x20x20x20 3x3x3x3 2 3rd power (cubed)

PAGE

62.5 6.75 50% 10% 30%

0.63, 63/100 0.16, 4/25 1.25, 1 1/4 0.46, 23/50 2.0, 2/1 1/25, 4% 1/8, 12.5% 423/1000, 42.3% 1 6/25, 124% 2 39/50, 278%

1. 6 7/20, 63.5% 2. 819/1000, 81.9% 3. 3 69/100, 369% 4. 23 1/2, 2350% 5. 100 3/4, 10,075% 6. 3/50, 6%, 7. 9/50, 18%, 8. 1/4, 25%, 9. 17/100, 17%, 10. 2/5, 40%, 11. 16/25, 64%, 12. 17/50, 34%, 13. 4/5, 80%, 14. 1/2, 50%, 15. 49/100, 49%, PAGE

1.28 60 45 40 5%

27

53% 50% 49% 25% 75% 75% 83% 60% 138% 40%

PAGE

6. 7. 8. 9. 10.

26

0.25, 1/4 0.07, 7/100 0.67, 67/100 0.92, 23/25 1.5, 1 1/2 51/100, 51% 18/25, 72% 3/10, 30% 3/50, 6% 3/20, 15%

PAGE

Page 139

25

12.5% 600% 10% 20% 25%

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

10:14 AM

15,308,687 1,765,591 6,499,313

10,989,870

12,510,837 8,688,492 11,146,049 11,048,220 15,036,438 11,299,312 9,837,795

11,670,123

42

7.14 12.12 6.493 2.935 38.69 1.3222

21.43 19.15 0.562 8.4559 42.22 9.52

5.484 16.081 112.983 767.215 2.41271 68.15

18.553 10.389 107.486 7591.66 110.163 72.801

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 BM

7/20/06

10:14 AM

Page 140

Answer Key PAGE

43

PAGE

1. 106 837 145,310 2. 66 763 8,144,151 3. 1084 977 1,511,691 4. 852 1170 3,130,613 5. 1603 1149 325,247 6. 9514 7174 4,077,617 7. 6038 1426 93,785 8. 13,380 718 6,121,737 PAGE

124,494

28,268

99,213

99,647

109,458

56,157

76,795

79,171

73,635

85,487

8,312,896

28,764

46,414

78,645

3733.10

110.356

1,051.46

820.4402 1,330.32 97,741.51 692.19 689.58

1,227.33

1,168.54

426.3543

864.46

410.8917

403.2911 751.517 473.12

895.65

45

1. 49,878 68,398 14,684 80,028 63,048 2. 91,388 35,021 73,352 57,882 70,137 3. 150,447 100,438 113,072 160,579 28,172 4. 61,423 12,954,681 11,590,760 13,440,569 5. 868,864,258 1,438,338,742 526,765,202 9,494,215 2,016,305 PAGE

1. 2. 3. 4. 5. 6.

1 0 3 4 8 3

PAGE

1. 2. 3. 4. 5. 6.

4 5 8 6 9 2

46 1 7 7 6 0 4

2 4 5 7 1 9

2 8 5 5 9 3

7. 8. 9. 10. 11. 12.

2 4 5 4 5 8

4 2 3 6 7 8

8 3 11 10 17 9

8 9 6 5 13 8

47 15 15 16 2 23 22

9 7 45 47 68 25

43 2 19 47 54 64

1. 2. 3. 4.

20 12 25 17

PAGE

44

1. 5.154 2.003 14,694.044 2. 99.606 47.12 1,297.403 3. 103.031 4.988 2,031.797 4. 139.165 9.25 148.1524 5. 55.032 317.63 4,547.7224 6. 95.40 135.05 506.43 7. 164.46 310.84 15,020.9704 8. 382.21 60.9 71.675222 PAGE

7905

7. 8. 9. 10. 11.

7 7 3 8 5

30 33 15 56 76

17 10 26 36 53

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

44 55 59 88 82

1. 2. 3. 4. 5. 6. 7.

48 26 51 68 52

2629 1226 2657 5836 1496 2593 412

3456 1045 855 6386 2158 862 6107

1001 1348 526 2636 2467 755 5264

3899 1073 5033 2535 1254 1868 4200

95,169

5,142,206

421,508

8,911,011

154,103

6,510,425

546,771

4,423,083

203,628

1,794,888

8,372

2,266,117

471,823

3,065,169

295,375

7,425,966

17.06

86.92

0.106

16.36

3.26

90.2

44.22

24.163

4.4

7.45

40.651

0.11

62.25

59.054

7.71

8.14

1.7532

17.3

54.86

0.519

3.14

44.83

40.2678 84.7

PAGE

1. 2. 3. 4. 5. 6.

228

142,677

90

165

236,642

192

1,847

104,700

220

74,405

540,335

221

67,343

480,462

33

78,705

406,991

4,590 19,114

9,402,319

8,491 6,920

3,063,712

54

79 88 104 51 26 69

PAGE

214

164 78 125 15 16 15

238 895 1,477 190 411 80

1,211 1,104 1,332 345 111 256

55

1. 19 letters 2. 1,094 feet PAGE

57 163 248 497 713 264

3. 306 squares 4. 150 pants

56

6,643 79,014 4,495,514 3,935 71,181 2,262,573 4,726 21,739 461,426 35 35,524 837,158 3,994 25,094 3,038,025 1,129 27,417 35.2 516 58,052 63.995 6,762 29,833

140

PAGE

57

1. 650 755 319 2. 557 498 4,565 3. 1,690 5,740 1,662 4. 101 90 2,275 5. 7,732 68,484 5,283,325 6. 3 feet 7. 28 socks PAGE

PAGE

12,882

1. 2. 3. 4. 5. 6.

613

505

427

1,353

694

7,456

4,436

41,132 1,559

14,895 16,814 1,990 158,961 1,196 10,391

58

1. 940 750 901 2. 520 337 102 3. 8,746 971 9,263 4. 176 98 13,891,486 5. 10,139 20,252 1,744 6. 256 kites 7. 708 yards

52

1. 63 307 261,301 2. 44 27 573,820 3. 13 445 740,122 4. 61 39 181,090 5. 53 407 340,191 6. 39 121 546,734 7. 6 337 422,424 8. 49 558 33,732

53

1. 8 697 15.4 2. 4 696 0.2 3. 9 85 32.15 4. 47 886 23.26 5. 44 373 2.202 6. 41 370 71.943 7. 9 537 76.0 8. 42 433 26.067

1. 3,960 tickets 3. 15 objects 2. 4 candy bars 4. 17 blocks

51

1. 0.8 17.2 66.22 2. 4.2 56.4 56.3 3. 1.3 70.8 1.327 4. 35.4 12.9 22.556 5. 1.2 85.8 4.236 6. 11.1 6.6 38.055 7. 87.5 51.8 6.808 8. 47.8 3.69 3.197 PAGE

5. 18 18 9 35 6. 18 44 69 45 7. 12 15 49 61

50

1. 468,999 6,095,789 2. 100,964 2,547,485 3. 635,337 6,100,428 4. 57,876 1,026,773 5. 289,251 97,545 6. 633,917 406,359 7. 818,084 3,426,720 8. 225,023 1,155,838 PAGE

5 26 17 14

49

1873 7680 4546 9086 108 1554 3710

PAGE

PAGE

34 8 35 22

307

209

1,009

468

516

1613

7,791

2,143 9,506

2,990 143,152 6,467,919 10,659 435 6,847

59

5, 10, 15, 20, 25, 30, 35, 40, 45, 50 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 7, 14, 21, 28, 35, 42, 49, 56, 63, 70 8, 16, 24, 32, 40, 48, 56, 64, 72, 80 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

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10:14 AM

Page 141

7. 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 8. 15, 30, 45, 60, 75, 90, 105, 120, 135, 150 9. 11, 22, 33, 44, 55, 66, 77, 88, 99, 110 10. 20, 40, 60, 80, 100, 120, 140, 160, 180, 200 11. 16, 32, 48, 64, 80, 96, 112, 128, 144, 160 PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

60

4: 4, 8, 12; 6: 6, 12 8: 8, 16, 24; 12: 12, 24 9: 9, 18, 27, 36, 45; 15: 15, 30, 45 15: 15, 30, 45, 60; 20: 20, 40, 60 3: 3, 6, 9, 12, 15; 5: 5, 10, 15 30, 60, 90, 120, 180 24, 48, 72, 96, 120 25, 50, 75, 100, 125 35, 70, 105, 140, 175 13, 26, 39, 52, 65

PAGE

61

1. 5 x 1 2 x 3, 1 x 6 4 x 5, 2 x 10 2. 9 x 3, 27 x 1 6 x 5, 3 x 10, 30 x 1, 2 x 15 2 x 12, 4 x 6, 8 x 3, 1 x 24 3. 5 x 5, 1 x 25 7 x 3, 21 x 1 6 x 3, 2 x 9, 18 x 1 4. 15, 30, 45, 60, 75 5. 10, 20, 30, 40, 50 6. 12, 24, 36, 48, 60 7. 35, 70, 105, 140, 175 8. 64, 128, 192, 256, 320 PAGE

1. 2. 3. 4. 5. 6.

33 7 x 22 7x5 32 x 22 32 x 5 1 x 47

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

1. 2. 3. 4. 5. 6.

4 42 24 36 16 12 80 40

72 7 x 23 2 x 52 26 23 x 32 34 112

6 30 18 48 0 16 11 70

56 35 72 28 54 20 9 80

45 27 24 81 14 32 50 90

90 12 24 36 45 63 35 10

30 72 50 16 28 14 0 60

24 24 8 42 18 40 80 0

20 21 27 6 54 12 16 40

28 0 93 100 144 512

315 747 364 186 114 120

485 44 738 54 483 574

175 342 196 174 185 56

PAGE

64 21 25 40 10 18 60 22

PAGE

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

12,404

0

6,405

1,237

15,552

10,244 12,780

28,696

4,685

37,764

32,380

32,935 27,234

21,861

25,566 21,900

2,139

27,648 46,291

6,180

67 8,324,064 21,285,175 15,813,175 33,710,264 15,365,259 13,975,924 9,770,496 68,405,013 11,649,384 9,146,135 7,310,280 16,580,426 13,070,196 17,773,995 42,268,740 22,221,588

0.36 0.24 13.05 0.720 201.6 5.76

4.76

43.2 44.1 6.03 41

1.47 36.4 445.8 552.6

3.186 4.36 12.93 27.52

17.2 9.6 9.64 432.6

PAGE

410

756

1,330 1,406

864

4,340

5,040 6,570

540

1,386

2,774 1,288

1,404 1,517

546

1,134

2,430 775

299

2,295

1,408 504

924

1,830

70

141

151,514 262,304 29,820

82,004

15,552

109,548

166,379 162,404

71

1. 2. 3. 4. 5. 6. 7. 8.

3 3 4 5 2 8 7 8

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

7 3 9 2 7 10 9 9

1. 2. 3. 4. 5. 6. 7. 8.

9 8 8 6 5 37 27 12

239,941,200 41,250,488 315,555,048 229,754,496 44,566,799 162,406,839 326,674,194 385,579,350 233,524,520 411,530,281 527,229,486 83,477,082 62,247,540 127,182,694

72

1. 33.075 28.47 2. 0.456 6.37 3. 4.43 19.78 4. 40.18 64.9 5. 14.352 52.46 6. 46.48 24.864 7. 387.8489 805.8582

PAGE

56,448 149,158 277,275 23,532 25,194 110,775 332,320 25,870 250,580 378,510

666,666 138,759 92,160 545,262 32,302 83,408 391,500 37,950

1. 84,899,318 418,533,666 2. 81,436,625 606,836,850 3. 203,352,950 163,982,916 4. 327,628,377 284,466,094 5. 364,091,972 307,582,579 6. 127,209,362 22,900,768 7. 25,440,135 42,011,116

PAGE

69

1. 131,292 278,400 2. 113,421 70,495 3. 41,454 230,278 4. 49,755 535,815 5. 57,375 44,750

6. 376,832 279,480 7. 176,767 504,355

PAGE

68

1. 384 944 2. 420 1,480 3. 2,340 713 4. 799 972 5. 2,520 693 6. 1,476 1,364 PAGE

528 74 230 264 375 136

7,712

1. 28,463,517 15,366,534 2. 22,517,484 14,919,247 3. 19,328,464 33,795,276 4. 12,864,844 58,649,815 5. 13,051,458 23,410,670 6. 33,066,710 27,998,676 7. 38,531,700 17,775,947 8. 5,682,632 14,268,120 1. 0.156 2. 1.674 1,723.0 3. 0.1421 4. 3.68 5. 139.2 6. 30.4

65

64 63 108 360 372 603

66

1. 47,349 12,639 2. 6,620 7,058 3. 5,080 16,384 4. 58,416 8,302 5. 56,126 12,580 6. 57,240 7,740 7. 4,231 6,525

PAGE

64

4 15 12 80 10 56 33 18

PAGE

7. 8. 9. 10. 11. 12. 13.

63

15 12 49 36 63 8 70 30

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

62

PAGE

12.852

2.475

2.0825

4.06

31.175

19.669

28.635

276.25

66.64

34.16

0.9114

1.53

2.9211

136.32

12.57

52.32

86.00022 77.826

282.49788 13,420.582 35,032.3372

73 3 6 8 3 10 9 5 7

9 7 4 4 10 4 3 4

2 8 8 4 7 8 11 10

3 2 0 1 6 1 5 6

2 4 4 1 0 11 2 10

5 6 8 6 10 10 0 6

8 4 8 6 3 1 5 5

4 8 7 10 5 4 0 11

9 9 2 10 11 3 7 11

32 9 5 7 18 17 12 13

17 5 3 12 27 23 13 12

8 5 6 15 18 12 13 13

74 2 5 9 6 6 0 10 1

75 12 7 9 5 7 29 12 12

314,592 69,300

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Grade 5 BM

7/20/06

10:14 AM

Page 142

Answer Key PAGE

1. 2. 3. 4. 5. 6. 7. 8.

PAGE

1. 2. 3. 4. 5. 6.

1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 1. 2. 3. 4. 5. 1. 2. 3. 4. 5.

PAGE

1. 2. 3. 4. 5. 6. 7.

6R2 5R6 21R1 3R4 10R3 11R1

142R62 12R44 352R2 123R1 240R4

160R31 33R72 190R2 84R1 178R2

0.153 0.125 1.25 0.255 0.629

0.131 0.253 0.541 0.693 2.3

0.82 0.144 0.323 6.3 5.04

4R10 4 6R2 5R5 6 2 3 4

8 6R5 2 3R10 3 5 7 3

7 4 2 2 5 8 7 2

1. 2. 3. 4. 5. 6. 5R4 7 4 4 6 4 6 3

126 56 83 156 123R10 163R8 126

243 342 45 122R3 85 307 50

4 15.5 65.3 112.5 42.1

13.2 45.2 89.2 123.6 92.7

24.5 45.6 46.3 49.3 96.3

122 35R24 167R3 300 400R9 60 65

82

83 18;18x5=9 27;27x3=81 8;8x3=24 12;12x6=72 13;13x7=91 13;13x2=26 37;37x2=74 6;6x9=54 63;63÷7=9 81;81÷9=9 450;450÷90=5 30;30÷6=5

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

1. 2. 3. 4.

PAGE

90

1. 2. 3. 4.

1/9 2/5 1/5 2/3 1/3 7/9

1. 2. 3. 4. 5. 6. 7.

89 145 32,220 233,856 251,583 741 2,195,667

1,992 465 214 899 785 235 564

56 7,470 447 742 465 562,513 236

PAGE

1. 2. 3. 4. 5. 6. 7.

PAGE

9/10 1 3/8 1 1/6 7/8

7/10 11/12 1 1/3 2/3

1 7/15 1 13/30 11/15 17/20

PAGE

2/5 2/7 2/3 3/5 1 1/5

3/4 1/5 1/2 1/3 2/5 5/8

3/7 3/4 2/3 2/7 1 5/7

PAGE

1. 2. 3. 4. 1. 2. 3. 4.

1/4 1/6 1/6 11/20

13/30 2/9 1/2 1/2

2/5 13/24 3/4 4/15

1/3 17/42 5/12 1/2

1/6 1/10 5/9 3/14 5/28 6/25 5/18 7/32 7/48 6/35

142

1/5 4/7 7/32 2/15 10/21 5/16 1/12

7/30 10/21 3/4 77/96 1/4 1/4 1/3

9/1 1/12 5/3 3/8 x 2/3 x 1/3 x 3/7 x

4/1 5/1 3/2 9/5

= = = =

2/3 4 1/2 2 7/9 5/12 27/40 8 1/2

1 1/5 1 1/7 3/10 2 4/5 15 2 1

2/3 5/6 18/25 5/7 3/7 24/35 1 1/35

97 20/33 1 11/15 1 23/105 1 89/115 1 7/8 23/37

2 3/5 7/22 1 23/40 1 11/45 8/9 37/60

16/25 65/144 4 29/40 28/33 29 3/5 9/20

98

4 cups of sugar 33 1/3 acres 6 minutes and 28 seconds 1/6 cup of milk

99

1/2 28 more people 4:08 P.M. 116 people

100

2/3 3/4 1/9 1 13/30 1 5/12 3/20 1/2

PAGE

1. 2. 3. 4. 5. 6. 7.

4 1/2 3 3/8 2 7/10 25 5/18 31 1/2 7 13/20 25 1/2

96

2 19/28 3 1/3 1 9/20 21/22 12/19 1 8/13

PAGE

1. 2. 3. 4. 5. 6. 7.

1 13/15 11 1/5 5 5/6 6 7/8 10 5 28 4/5

95

7/8 4/15 12 1 2/3 2 1/2 1 1/5 1 3/5

7/9 5/6 7/10 1 3/5 2 1/6 2 8/13

1. 2. 3. 4. 5. 6.

6 3 3/20 3 3/4 8 2/5 10 58 4/15 48 11/16

1/8 4/2 6/5 2/1 1/14 8/7 4/3 4/1 24/1 5/6 x 2 = 1/3 x 1/5 = 3/10 x 5/1 = 1/4 x 3/1 = 1/3 x 2/1 = 4/5 x 4/1 = 3/4 x 3/4 = 9/10 x 1/6 =

1 1/4 4/5 4/7 1 1 1/2 1 4/9

93

12/35 3/10 1/3 3/28 7/20 2/7 3/20

PAGE

1. 2. 3. 4. 5. 6. 7.

94

1 27/28 7 1/2 27 3/28 6 6/7 11 7/10 16 7/8 7 1/2

1 1/4 4/7 1 5/9 4/9 1 1/5

92

1. 3/21 2. 3/10 3. 5/24 PAGE

9 8 2 21 155 312 31

91

5/9 5/8 1/2 1/2

PAGE

8 48 123 56 57 5 8

89 1/10 3/8 1/12 5/12

PAGE

7 8 5 120 44 10R1 12

88

1 1 1 1

1. 2. 3. 4. 5. 6.

99 49 21 52 170 125 80

87

1 1 7/8 6/7 7/8 1 1/5

PAGE

3. 51 cars 4. 3 times

86

1,804 15,967 43,708 193,860 107,856 4,046,502 2,341,262

PAGE

52R20 52 27 217R2 241 31 170

3;3x6=18 5;5x7=35 12;12x5=60 13;13x4=52 84;84÷7=12 52;52÷13=4 6. 39;39÷3=13 36;36÷12=3

1. 2. 3. 4. 5. 6. 7.

1. 2. 3. 4. 5. 6. 7.

85

5 72 70 11 24 150 20

PAGE

213R10 23R27 302R3 348R2 214R7

PAGE

3. 18 kazoos 4. 3 minutes

1. 120 cookies 2. 40 feet

81

322.3 87.5 85.2 96.3 94.3

PAGE

PAGE

80

132 52R26 31 165 75R7 141 20

PAGE

6R4 5R3 23R2 3R6 17R1 10R6

84

1. 15 pills 2. 60 people

79

2R20 6 5R3 4 7R3 5 6 3

PAGE

1,201 371 1244 7,105 904 187 3,976 2,142

78

0.8 0.234 0.322 0.411 5.6

PAGE

2,316 2,114 794 749 1,304 3,121 513 1,240

13R2 14R1 7R3 5R1 33R2 18R2

318R17 27R20 40R28 2,114R1 126R1

PAGE

1. 2. 3. 4. 5.

PAGE

276 302 215 353 449 220 314 2,752

77

13R1 8R1 6R7 15R5 19R1 19R3

PAGE

1. 2. 3. 4. 5.

76

718 918 2,307 1,227 239 1,015 513 721

7/18 1/3 1 1/7 2/5 1/3 1/6 2 5/8

3/10 1/12 3/64 15/32 3 1/3 1 1/12 2/3

101

1 23/40 3/8 3/10 22 11/12 1/6 11/12 3 16/25

PAGE

1 1/4 19/24 1/9 1 1/5 1/2 1 5/24 15/32 1 5/12 1 11/24 6 3 5/23 4 21/50 19/40 31 2/3

1/6 1 1/6 1 1/24 12 1 2/5 5/8 3/8

5/6 11/18 3/20 10 2/25 1 1/2 26 1/24 7 1/2

102

1. 13 + n = 25 2. n x 7 = 21

16 – n = 10 48 ÷ n = 8

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 BM

7/20/06

3. 4. 5. 6.

n – 2 = 14 4 x n = 32 18 – 7 = n n/2 + 9 = 15

PAGE

1. 2. 3. 4. 5.

10:14 AM

2n – 4 = 8 64 + n = 82 n – 19 = 20 15 + n = 25

103

4 12 0 15 10

PAGE

20 84 50 18 37

6. 7. 8. 9. 10.

8 105 115 20 7

4. n = 10 n = 2 5. n = 12 n = 4 6. n = 14 n = 4

105

1. x,y 0,3 1,5 2,7 4,11 6,15 2. x,y 0,-1 1,1 3,5 4,7 5,9 3. x,y 0,-3 3,3 5,7 6,9 7,11 PAGE

50 8 14 12 15

104

1. n = 3 n = 9 2. n = 3 n = 2 3. n = 3 n = 42 PAGE

Page 143

x,y 1,7 2,9 3,11 4,13 5,15 x,y 0,-3 4,1 5,2 6,3 8,5 x,y 0,5 1,8 5,20 7,26 10,35

x,y 0,-3 3,9 5,17 10,37 15,57 x,y 2,22 4,42 6,62 10,102 12,122 x,y 1,2.5 2,3 4,4 6,5 8,6

106

1a. x,y 0,1 2,2 4,3 6,4 8,5 1b. x,y 0,4 1,6 2,8 3,10 4,12

•

•

•

•

• • • •

2a. x,y 0,-4 1,0 2,4 3,8 4,12 2b. x,y 0,1 1,4 2,7 3,10 4,13

•

• • •

• • • •

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

107

PAGE

n – 12 = 16 n x 12 = 48 (2 x n) – 6 = 18 96 7 59 n = -19 n = 90

PAGE

n – 100 = 36 61 + n = 121 n/3 – 7 = 0 47 2 291 n=4 n=3

108

1. 84 = 4n; n = 21 degrees 2. 2,346 – 573 = n; n = 1,773 miles 3. 9($15) = n; n = $135 4. 18 + 14 = n; n = 32 dandelions 5. 5n = 4,125; n = 825 kilograms PAGE

1. 2. 3. 4.

PAGE

1. 2. 3. 4.

16º 75º 180º 100º obtuse acute acute acute

111

112

400 mm 276,000 mm 21,000 cm 6.256 m 20,000 mm 360 mm 660 cm 20,000 m 3,000 mm 4,200 cm

PAGE

2600 cm 96,000 m 3.7 m 9.422 km 0.01 km

PAGE

1. 2. 3. 4.

A A A A

PAGE

A = 35 A = 120 x height = x height =

3. 25 16 38 4. 24 56 50

A = 240 A = 72 20 x 12 = 240 in2 8 x 14 = 112 in2

116 = = = =

60 A = 81 A = 60 4 A = 38.5 A = 48 1/2 bh = 6 x 8 = 48 ft2 1/2 bh = 3 x 10 = 30 in2

117 front = 8 x 1 back = 8 x 1 side 1 = 6 x 1 side 1 = 6 x 1 top = 8 x 6 bottom = 8 x 6

2. Drawings will vary. 3. Drawings will vary.

118

1. SA SA 2. SA SA 3. SA SA PAGE

= = = = = =

2400 ft2 190 in2 318 ft2 210 m2 382 yd2 1,800 in2

SA = 598 cm2 SA = 724 in2 SA = 96 cm2

119

1. V = 6 x 6 x 6 V = 2 x 2 x 10 V = 20 x 5 x 10 2. Drawings of rectangular prisms will vary. 3. Drawings of rectangular prisms will vary. PAGE

120

1. V = 24 in3 V = 240 in3 V = 56 cm3 2. V = 120 yd33 V = 150 ft3 V = 1,496 m3 3. 6 cubes 8 cubes 6 cubes PAGE

121

1. 75 meters 2. 294 boxes 3. acute

PAGE

114

143

160 96 base base

1. 2. 3. 4. 5. 6.

3. 32 in2 4. obtuse

123

400 mm 0.07m 86,010,000mm obtuse straight 36 in

PAGE

4. 32 yd 5. 28 feet

122

1. 64 inches 2. right

113

1. 12.5 16 15 2. 12 25 38

115 = = = =

1. front = 5 x 6 back = 5 x 6 side 1 = 4 x 6 side 2 = 4 x 6 top = 4 x 5 bottom = 4 x 5

PAGE

1. a. P = 11 + 11 + 5 + 5 b. P = 3 + 2 + 5 + 2 + 3 + 10 c. P = 6 + 6 + 12 2. a. P = 3 + 3 + 3 + 3 + 3 + 3 b. P = 2 + 2 + 10 + 5 + 10 c. P = 6 + 9 + 14 3. Drawings of shapes will vary. PAGE

A A A A

PAGE

acute acute right right

27 feet 120 inches 5280 yards 450 inches 36,960 feet 24 ft 5 ft 1 ft 1,805,760 ft 7 yd 880 yd 5 mi 6 in 3 mi 23,040 in

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

160º 45º 68º 163º

110

obtuse straight obtuse acute

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

109

120º 90º 135º 12º

1. 2. 3. 4.

72 in 5280 yd 6 yd acute obtuse 49 cm

right right

124

1. length 13.18 in 7.42 cm 11m width 14 in 5.72 cm 10m height 11 in 4.75 cm 2 m surface area 967 in2 209.71 cm2 404 m2 volume 2029.72 in3 201.60 cm3 220 m3 2. A = 1,196 mm2 A = 48 ft2 A = 36 m2 3. V = 68,544 cm3 V=1,452 in3 V = 72 m3

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Grade 5 BM

7/20/06

10:14 AM

Page 144

Answer Key PAGE

1. 2. 3. 4.

PAGE

1. 2. 3. 4.

125

213, 5 42, 5 104, 4 94, 5

126 5. 6. 7. 8.

15 0.375 .350 100 balls

127

PAGE

2/5, 1/3, 4/5,

PAGE

1. 2. 3. 4. 5. 6. 7.

134

2/5 2/3 2/5,

3/5

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

3. 5 out of 32 4. 1 out of 3

135

4 Mean, 12; Mean, 57; Mean, 134; Mean, 43; Mean, 18; Median, 15;

PAGE

128

1. 1/5, 2. 1/6, 3. 2/5,

3. 1 out of 6 4. 15 out of 26

1. 1 out of 2 2. 1 out of 7

1. 1/3 2. 1/6 3. 2/3 4. 5/6 5. 1/2 Answers include: 6. P(>20) 7. P(<12) 8. P(41) 9. P(even) PAGE

133

1. 1 out of 3 2. 1 out of 24 PAGE

30.75 69 2,737 5

PAGE

PAGE

5. 6 hits 6. 79 degrees 7. 6 hours

12.5 Median, 12; Median, 60; Median, 121; Median, 32; Median, 16 Mode, 15

18.75 Mode, 12 Mode, 40 Mode, 121 Mode, 32

136

19:114 97:114 32:114 92:114 0 19:95 97:17 37:77 93:21 71:43

129

1. 2. 3. 4. 5. 6. 7.

26/26 = 1/1 or 1 to 1 26/26 = 1/1 or 1 to 1 4/48 = 1/12 or 1 to 12 13/39 = 1/3 or 1 to 3 48/4 = 12/1 or 12 to 1 75% 16, or a multiple of 16 pieces of red jewelry 8. 1 to 10 9. 4 to 1 PAGE

1. 2. 3. 4. 5. 6.

130

1:7 1:1 1:1 1:3 7:1 1:1

PAGE

7. 8. 9. 10. 11.

3:1 1:1 5:4 4:1 24:1

131

1. 2. 3. 4. 5.

12 is the the median and the mean. 16 is the mode. 5 is the median and the mean. 15 is the median and the mean. 25 is the median, the mean, and the mode. 6. 13 is the mode. 7. 80 is the median and the mode. 8. 45 is the mode. PAGE

1. 2. 3. 4. 5.

132

10.6 9 44 25 31

9 29 35 23 7

6. 7. 8. 9.

9 14 22 36

199

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

144

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Saddleback Math Covers

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MATH COMPUTATION SKILLS & STRATEGIES Every book in the Math Computation Skills and Strategies series contains over 100 reproducible pages.These highinterest activities combine computation practice with strategy instruction. Featuring a Scope and Sequence chart, the books allow educators to supplement their math lessons with the extra math practice all students need. In addition, periodic reviews allow for reinforcement and assessment of skills.

H I G H - I N T E R E S T M AT H C O M P U TAT I O N S K I L L S & S T R AT E G I E S

HIGH-INTEREST

• LEVEL 5

The books are grade specific, but they were created with students of all ages in mind. Each book features ready-to-use pages with instructional tips at the beginning of each lesson. Math Computation Skills and Strategies reproducible books are the perfect choice for educators.

HIGH-INTEREST

MATH COMPUTATION SKILLS & STRATEGIES Operations Fractions and Decimals Whole Numbers Perimeter and Area Regrouping

Three Watson • Irvine, CA 92618-2767 • 888-SDL-BACK • www.sdlback.com

S A D D L E B A C K E D U C AT I O N A L P U B L I S H I N G

Saddleback E-Book

Solving Word Problems Money Measurement

LEVEL

5

100 plus+ REPRODUCIBLE ACTIVITIES

10/22/06

6:24 PM

Page 3

MATH COMPUTATION SKILLS & STRATEGIES Every book in the Math Computation Skills and Strategies series contains over 100 reproducible pages.These highinterest activities combine computation practice with strategy instruction. Featuring a Scope and Sequence chart, the books allow educators to supplement their math lessons with the extra math practice all students need. In addition, periodic reviews allow for reinforcement and assessment of skills.

H I G H - I N T E R E S T M AT H C O M P U TAT I O N S K I L L S & S T R AT E G I E S

HIGH-INTEREST

• LEVEL 5

The books are grade specific, but they were created with students of all ages in mind. Each book features ready-to-use pages with instructional tips at the beginning of each lesson. Math Computation Skills and Strategies reproducible books are the perfect choice for educators.

HIGH-INTEREST

MATH COMPUTATION SKILLS & STRATEGIES Operations Fractions and Decimals Whole Numbers Perimeter and Area Regrouping

Three Watson • Irvine, CA 92618-2767 • 888-SDL-BACK • www.sdlback.com

S A D D L E B A C K E D U C AT I O N A L P U B L I S H I N G

Saddleback E-Book

Solving Word Problems Money Measurement

LEVEL

5

100 plus+ REPRODUCIBLE ACTIVITIES

MATH COMPUTATION SKILLS & STRATEGIES

LEVEL

5

ISBN 1-56254-968-5 Copyright © 2006 by Saddleback Educational Publishing. All rights reserved. No part of this book may be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system without written permission of the publisher, with the following exception. Pages labeled Saddleback Educational Publishing ©2006 are intended for reproduction. Saddleback Educational Publishing grants to individual purchasers of this book the right to make sufficient copies of reproducible pages for use by all students of a single teacher.This permission is limited to an individual teacher and does not apply to entire schools or school systems. Printed in the United States of America

Table of Contents Page . . . . . Lesson 5 . . . . . . . . . Introduction Unit 1 . . . Numbers and Number Sense 6 . . . . . . . . . Write Whole Numbers 7 . . . . . . . . . Write Integers 8 . . . . . . . . . Add & Subtract Integers 9 . . . . . . . . . Add & Subtract Integers 10 . . . . . . . . Write Decimals 11 . . . . . . . . Write Fractions and Mixed Numbers 12 . . . . . . . . Find Equivalent Fractions 13 . . . . . . . . Convert Decimals and Fractions 14 . . . . . . . . Order Numbers 15 . . . . . . . . Order Numbers 16 . . . . . . . . Round Numbers 17 . . . . . . . . Round Numbers 18 . . . . . . . . Read Graphs 19 . . . . . . . . Read Linear Graphs 20 . . . . . . . . Read Coordinate Graphs 21 . . . . . . . . Read Graphs with Four Quadrants 22 . . . . . . . . Plot Coordinate Graphs 23 . . . . . . . . Understand Percents 24 . . . . . . . . Find Percents 25 . . . . . . . . Find Percents 26 . . . . . . . . Convert Numbers 27 . . . . . . . . Convert Numbers 28 . . . . . . . . Convert Numbers 29 . . . . . . . . Understand Exponents 30 . . . . . . . . Use Exponents 31 . . . . . . . . Solve Word Problems 32 . . . . . . . . Solve Word Problems 33 . . . . . . . . Review Number Sense 34 . . . . . . . . Review Number Sense Unit 2 . . . . Operations with Whole Numbers and Decimals 35 . . . . . . . . Use Addition/Subtraction Fact Families 36 . . . . . . . . Learn Properties of Addition 37 . . . . . . . . Practice Addition Facts 38 . . . . . . . . Practice Addition Facts 39 . . . . . . . . Add Up to 2 Digits 40 . . . . . . . . Add Up to 4 Digits 41 . . . . . . . . Add Up to 7 Digits 42 . . . . . . . . Add Decimals 43 . . . . . . . . Practice Addition 44 . . . . . . . . Practice Addition 45 . . . . . . . . Practice Addition 46 . . . . . . . . Practice Subtraction Facts 47 . . . . . . . . Practice Subtraction Facts 48 . . . . . . . . Subtract Up to 2 Digits

49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87

........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........

Subtract Up to 4 Digits Subtract Up to 7 Digits Subtract Decimals Practice Subtraction Practice Subtraction Check Addition and Subtraction Solve Word Problems Solve Word Problems Review Addition and Subtraction Review Addition and Subtraction Understand Multiples Find Multiples Understand Factors Find Prime Factors Practice Multiplication Facts Practice Multiplication Facts Multiply 2 Digits by 1 Digit Multiply 4 Digits by 1 Digit Multiply 7 Digits by 1 Digit Multiply Decimals Multiply 2 Digits by 2 Digits Multiply 4 Digits by 2 Digits Multiply 7 Digits by 2 Digits Multiply Decimals Practice Division Facts Practice Division Facts Divide 2 Digits by 1 Digit Divide 4 Digits by 1 Digit Divide with Remainders Divide with Remainders Divide Decimals Divide 2 Digits by 2 Digits Divide 4 Digits by 2 Digits Divide Decimals Check Multiplication and Division Solve Word Problems Solve Word Problems Review Multiplication and Division Review Multiplication and Division

Unit 3 . . . . Operations with Fractions 88 . . . . . . . . Add Fractions with Like Denominators 89 . . . . . . . . Add Fractions with Unlike Denominators 90 . . . . . . . . Subtract Fractions with Like Denominators 91 . . . . . . . . Subtract Fractions with Unlike Denominators 92 . . . . . . . . Understand Multiplying Fractions 93 . . . . . . . . Multiply Fractions 94 . . . . . . . . Multiply Mixed Numbers 95 . . . . . . . . Understand Dividing Fractions 96 . . . . . . . . Divide Fractions 97 . . . . . . . . Divide Mixed Numbers

Table of Contents 98 . . . . . . . . 99 . . . . . . . . 100 . . . . . . . 101 . . . . . . .

Solve Word Problems Solve Word Problems Review Fractions Review Fractions

Unit 4 . . . . Equations 102 . . . . . . . Write Equations 103 . . . . . . . Use Order of Operations 104 . . . . . . . Solve Equations with Parentheses 105 . . . . . . . Complete Function Charts 106 . . . . . . . Graph Functions 107 . . . . . . . Review Equations 108 . . . . . . . Solve Word Problems Unit 5 . . . . 109 . . . . . . . 110 . . . . . . . 111 . . . . . . . 112 . . . . . . . 113 . . . . . . . 114 . . . . . . . 115 . . . . . . . 116 . . . . . . . 117 . . . . . . . 118 . . . . . . . 119 . . . . . . . 120 . . . . . . . 121 . . . . . . . 122 . . . . . . . 123 . . . . . . . 124 . . . . . . .

Geometry and Measurement Understand Angles Identify Types of Angles Convert Customary Lengths Convert Metric Lengths Understand Perimeter Find Perimeters Find Areas of Parallelograms Find Areas of Triangles Understand Surface Area Find Surface Areas Understand Volume Find Volumes Solve Word Problems Solve Word Problems Review Geometry Review Geometry

Unit 6 . . . . 125 . . . . . . . 126 . . . . . . . 127 . . . . . . . 128 . . . . . . . 129 . . . . . . . 130 . . . . . . . 131 . . . . . . . 132 . . . . . . . 133 . . . . . . . 134 . . . . . . . 135 . . . . . . . 136 . . . . . . . 137 138 139 140 141 142 143 144

Data Analysis and Probability Understand Averages Find Averages Find Probability Find Probability Understand Odds Find Odds Understand Mean, Median, and Mode Find Mean, Median, and Mode Solve Word Problems Solve Word Problems Review Mean, Median, and Mode Review Probability

. . . . . . . Scope and Sequence . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key

About This Series This series was created by Saddleback Educational Publishing to provide extensive math practice as a supplement to in-class instruction. Math Computation Skills and Strategies can easily be integrated into math curricula to reinforce basic skills.The lessons focus on practice, with up to 70 items a page. In addition, the lessons are designed to challenge students as their skills grow stronger. As the students progress through the individual lessons, the degree of difficulty increases. Closely adhering to state standards, this series provides grade-level appropriate lessons that are approachable for students at a range of abilities. Review lessons are interspersed throughout the book to allow students to reinforce their skills. Furthermore, the Scope and Sequence chart at the back of the book will help you choose lessons that are applicable to your curriculum.This series covers a range of topics, allowing students to build skills in multiple areas. Additionally, the lessons provide a variety of approaches, including word problems that emulate real-life situations. Each book is designed to challenge students who are learning skills at the corresponding grade level. However, the lessons were created not just for younger children, but for students of all ages. Saddleback Educational Publishing believes in allowing students to strengthen their skills with fun and exciting practice lessons.We hope you enjoy using this series to supplement class instruction and help students gain skills for proficiency in math computation.

Write Whole Numbers To write whole numbers, just figure out how many billions, millions, thousands, and hundreds there are.

ones

hundreds

tens

ones

hundreds

tens

ones

Ones

tens

Thousands

hundreds

Millions ones

tens

hundreds

Billions

4

6

1, 3

8

7, 2

5

9

Standard form: 461,387,259 Expanded form: 400,000,000 + 60,000,000 + 300,000 + 80,000 + 7,000 + 200 + 50 + 9 Short word form: 461 million, 387 thousand, 259 Directions: Write the number in three different ways.

ones

hundreds

tens

ones

hundreds

tens

ones

Ones

tens

Thousands

hundreds

Millions

5, 2

7

4, 5

1

0, 9

3

5

ones

tens

hundreds

Billions

1.

In standard form

2.

In expanded form

3.

In short word form

Directions: Write each in standard form. a

b

4. four hundred thousand twenty-four

9 thousands, 6 tens, 2 ones

5. 61 thousands, 4 hundreds

84 million, 54 thousand

6. 60,000 + 4,000 + 200 + 10 + 5

403 thousand, 942 hundred

7. 400,000 + 50,000 + 1,000

200 million + 670 thousand

8. 962 million, 232 thousand

56 thousand

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 6

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Write Integers Integers are a set of whole numbers and their opposites.

-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 negative numbers

positive numbers

Whole numbers greater than zero are called positive integers. Whole numbers less than zero are called negative integers. The integer zero has no sign and is neither positive nor negative.

Directions: Write the number. a

b

1. 10 degrees above zero

8 integers to the left of +3 on the number line

2. a loss of 14 yards

a gain of 12 pounds

3. a gain of 7 points

4 integers to the right of –5 on the number line

4. 12 steps backward

9 degrees below zero

5. the opposite of –233

an altitude of 9,800 feet

6. an earning of 20 dollars

a withdrawal of $1,754 from a bank account

Directions: Write the opposite integer. a

b

7. –5,000

47

8. 5 feet above sea level

–256

9. +15

63

10. 4 yards more than 100

0

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 7

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Add & Subtract Integers Use the number line for practice adding and subtracting integers.

-14-13-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Add a positive integer by moving to the right on the number line. 4 + 8 = 12 Add a negative integer by moving to the left on the number line. 3 + ( −7 ) = –4 Subtract an integer by adding its opposite. 5 − 8 = –3

Directions: Add or subtract the integers. a

b

c

d

1.

9+ 4 =

14 + (−3) =

14 − ( +3) =

−14 + 10 =

2.

2+ 9 =

15 + 6 =

8 + (−5) =

−2 + (−9) =

3.

33 + 6 =

43 + 30 =

7 + (−4) =

−13 + (−7) =

4.

−1+ 49 =

11+ (−32)

6 + (−7) =

−5 + (−8) =

5.

15 + 29 =

16 + 35 =

9 + (−9) =

−9 + 5 =

6.

−15 + 5 =

29 + 10 =

−1+ (−31) =

−6 + 7 =

7.

42 + 15 =

42 + 26 =

−28 + 18 =

−19 + 15 =

8.

−3 − (−6) =

−4 − (−3) =

−12 − (−5) =

−13 − 2 =

9.

6 − 10 =

9 − 14 =

5 − 12 =

13 − (−7) =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 8

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add & Subtract Integers Let’s try adding and subtracting integers without the number line! Subtracting Integers: 8 − (−5) = to subtract a positive integer, add its opposite 8 + (+5) = 8+ 5 =

Adding Integers: positive + positive = positive negative + negative = negative positive + negative = positive, negative, or zero

Directions: Add or subtract the integers. a

b

c

1.

7 + (−3) =

−8 + 5 =

−6 + 8 =

2.

77 + (−37) =

92 + 31 =

−87 + 54 =

3.

49 + (−13) =

77 + (−93) =

−66 + 84 =

4.

37 + (−21) =

−17 + 64 =

−99 + 31 =

5.

8 − 16 =

−7 − 4 =

11− 6 =

6.

9− 7 =

−10 − 11 =

−16 − 4 =

7.

40 − 13 =

−62 − 9 =

−37 − 5 =

8.

90 − 42 =

−100 − 20 =

−112 − 6 =

9.

20 − 16 =

19 − 14 =

27 − 11 =

10.

133 − 60 =

−10 − (−4) =

−3 − (−9) =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 9

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Write Decimals Decimals are parts of whole numbers.

tens

ones

tenths

hundredths

thousandths

7, 0

0

0

. 4

2

1

thousands

hundreds

The 1 is in the thousandths place. The value of 2 is 0.02 or “2 hundredths” The number can be read “seven thousand and four hundred twentyone thousandths.”

Directions: Write the decimal or the name of the decimal. a

b

1. five tenths

six and six tenths

2. ninety-two hundredths

fifty-two and nine tenths

3. seven and two tenths

four and thirty-two hundredths

4. three hundreds and four tenths

two hundreds and three tenths

5. six hundred twenty-one thousandths

fifty-three thousandths

6. 0.5

52.9

7. 0.46

53.8

Directions: Write the place of 4 in each number. a

b

8. 0.4

4.23

9. 0.342

472.8

10. 0.004

7.364

11. 24.10

12.4

12. 642.39

4001.59

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 10

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Write Fractions and Mixed Numbers Fractions are also parts of whole numbers.They are written with a numerator and a denominator. The numerator is the number of parts shaded. The denominator is the total number of 5 “five sixths” equal parts. 6 Fractions are less than one. Mixed numbers are greater than one.

5 “one and five sixths” 6

1

Directions: Write the fraction or word form of the fraction. a

c

b

4 5 3 4

five ninths

3.

7 10

four sevenths

9 _ 3

4.

2 3

five fifths

8 _ 5

1. 2.

1 8 11 4

one fifth

_ _

_

Directions: Write the fraction as a mixed number. Simplify. a

c

b

5.

6 4

8 4

13 6

6.

7 4

17 5

12 6

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 11

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Find Equivalent Fractions Equivalent fractions name the same amount. Let’s try to find fractions equivalent to one another. The same amount is shaded in both pictures. Or, try multiplying the numerator and denominator by the same number:

1 2 = 2 4

1 ⎛ 2⎞ 2 ⎜× ⎟ = 2 ⎝ 2⎠ 4

Directions: Find the missing numerator or denominator. a

b

c

1.

1 = 2 4

2 4 = 3

10 = 5 10

2.

1 = 3 6

2 8 = 5

12 36 = 10

3.

1 = 4 10

4 8 = 7

7 42 = 4

4.

4 12 = 3

4 = 2 10

9 = 3 9

Directions: Write a fraction for the shaded part of the picture. a

b

5.

6.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 12

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Convert Decimals and Fractions All fractions have equivalent decimal forms. Let’s change fractions to decimals.

Any fraction with 10, 100, or 1000 in the denominator is easy to covert: 22 4 = 0.4 100 = 0.22 10 Other fractions are converted into decimals by dividing: 1 = 0.25 4 Change decimals to fractions by writing the decimal over a power of 10, then simplify. 42 ⎛ 2⎞ 21 0.42 "forty-two hundredths" ⎜÷ ⎟ = 100 ⎝ 2⎠ 50 3.5 "three and five tenths"

5 ⎛ 2⎞ 1 ⎜÷ ⎟ = 3 10 ⎝ 2⎠ 2

3

Directions: Write the name of the fraction in short word form, then convert it to decimal form. a

b

1.

5 10

8 5

2.

7 10

1 2

3.

42 100

3 4

4.

17 1000

3 2

Directions: Write as a fraction. Simplify if necessary. a

c

b

5.

0.3

0.75

2.4

6.

0.5

0.43

1.2

7.

0.8

0.50

4.3

8.

0.24

0.375

7.6

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 13

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Order Numbers Ordering numbers helps us understand which are greater and which are less.

4,242 > 3,928

> greater than < less than = equal to

Directions: Compare and order. a

b

1. 795

759

81,960

83,450

2. 626

662

275,163

257,361

3. 922

944

537,420

532,240

4. 1,762

1,276

8,512,924

5. 3,487

3,567

63,512,417

8,413,429 63,855,408

Directions: Order the numbers from least to greatest. 6.

322

7.

6,741

8.

763,818

9.

1,477,405

10.

65,114

248

341

6,738

215

6,241

732,118

721,116

2,642,149 65,141

2,612 712,411

1,432,564

56,416

56,411

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

1,341,716

Date 14

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Order Numbers Decimals can be ordered, too. Use what you know about place value to help you compare decimals. ones

4 4

tenths

hundredths

1

5

1

7

. .

4.17 > 4.15

Directions: Compare and order. Use >, <, or = a

1. 0.4

b

0.03

0.216

0.142

2. 0.55

0.045

10

3. 0.37

0.379

2.531

2.315

5.841

5.04

4. 7.473 5. 1.18

7.464 1.006

6.4

9.3

6.40

Directions: Order from least to greatest. 6.

0.32

3.02

7.

5.27

0.275

8.

8.99

9.6

9.

2.742

10.

8.8

0.31 5.26 9.06

2.624 8.08

0.362 5.73 9.114

3.541

8.21

3.451

8.10

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 15

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Round Numbers To round numbers, simply look at the number to the right of the number to be rounded. If the number to the right is 5 or greater, round up. 477 ➝ 480 If the number to the right is less than 5, round down. 474 ➝ 470 Directions: Round each number to the nearest ten. a

b

c

d

1.

21

64

39

41

2.

107

113

222

75

3.

976

878

765

437

4.

714

699

92

1,428

5.

963

474

319

2,649

Directions: Round each number to the nearest hundred. a

b

c

d

6.

6,743

5,864

472

806

7.

4,532

1,997

531

317

8.

364

2,032

644

322

9.

8,451

7,144

176

864

10.

9,325

2,259

955

283

Directions: Round each number to the nearest thousand. a

b

c

11.

6,563

4,261

12,397

12.

16,742

27,827

64,600

13.

724,794

426,963

7,247,923

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 16

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Round Numbers Rounding decimals follows the same pattern as rounding whole numbers.

Round 0.7642 to the nearest thousandth: to the nearest hundredth: to the nearest tenth:

0.7642 = 0.764 0.7642 = 0.76 0.7642 = 0.8

Directions: Round each decimal to the nearest thousandth, hundredth, and tenth. nearest thousandth

1.

0.4613

2.

1.2781

3.

4.3509

4.

19.7875

5.

27.6432

nearest hundredth

nearest tenth

Directions: Round to the place of the underlined digit. a

c

b

6.

91.10

98.84212

60.7781

7.

994.134

741.45340

9.453

8.

8.4952

37.1915

92.145

9.

367.91

745.2576

17.481

365.63876

69.682

712.9636

10.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 17

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Read Graphs Graphs help us use pictures to estimate numbers.

25% 30%

45%

Directions: Read the above graphs and answer the questions. 1. Who scored around 20 points? 2. How many points did Akira score? 3. Who scored the least points? 4. Which players scored fewer than 15 points? 5. What are the total points for all players combined? 6. How many more points than Jamar did Jose score? 7. What type of breakfast drink do 30% of students drink? 8. What percentage of students drink milk for breakfast? 9. What type of breakfast drink do 25% of students drink?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 18

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Read Linear Graphs Each point on a line graph represents two specific points of information.

Directions: Read the line graph. 1.

What was the attendance for Thursday?

2.

Which day was attendance at the school play 200 people?

3.

On which days did fewer than 300 people attend?

4.

Between which two days was there the greatest difference in attendance?

5.

Between which days was there a decrease in attendance?

6.

Between which days was there a increase in attendance?

7.

What two pieces of information does the second point on the graph represent?

8.

What two pieces of information does the last point on the graph represent?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 19

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Read Coordinate Graphs Ordered pairs appear on coordinate graphs and are written as (x,y). Directions: Write the ordered pair for each point on the graph. a

b

1.

A

F

2.

B

G

3.

C

H

4.

D

I

5.

E

J

Directions: Write the letter for the point named by the ordered pair. a

6.

(7,7)

(0,1)

7.

(2,8)

(2,0)

8.

(3,1)

(4,9)

9.

(4,7)

(9,6)

10.

(7,4)

(8,3)

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

b

Date 20

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Read Graphs with Four Quadrants Each of the four parts of the coordinate graph is called a quadrant. Directions: Write the ordered pair for each point on the graph. a

b

1.

A

F

2.

B

G

3.

C

H

4.

D

I

5.

E

J

Directions: Write the letter for the point named by the ordered pair. a

6.

(5,5)

(4,2)

7.

(-3,3)

(2,4)

8.

(-4,2)

(1,0)

9.

(3,-5)

(0,-4)

10.

(5,-1)

(-3,-5)

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

b

Date 21

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Plot Coordinate Graphs You can use the ordered pairs to plot points on the graph. Directions: Plot the points on the coordinate graph. a

b

1.

A (7,7)

B (7,1)

2.

C (3,5)

D (2,0)

3.

E (5,2)

F (0,10)

4.

G (8,6)

H (6,4)

5.

I (10,5)

J (9,3)

Directions: Plot the points on the four quadrant graph.

a

b

6.

A (2,4)

B (-8,0)

7.

C (5,7)

D (0,-10)

8.

E (8,10)

F (-7,-9)

9.

G (1,0)

H (3,-10)

10.

I (-3,5)

J (-9,-7)

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 22

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Percents Percents simply means “per hundred.”

16 out of 100 squares are shaded. “16 hundredths” = 0.16 or

16 or 16% 100

Directions: Write a decimal, a fraction, and a percent to represent the shaded part. 1.

2.

3.

4.

5.

6.

Directions: Shade the grid to show the percent. 7.

62%

8.

4%

9.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

94%

Date 23

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Percents Find the percent of a number by multiplying the number by the decimal equivalent of the percent. Directions: Write the number. a

b

1. What is 25% of 10?

2% of 70

2. 5% of 20

3% of 40

3. 2% of 50

15% of 120

4. 10% of 100

30% of 200

5. 40% of 200

150% of 80

Directions: Complete the sentence. a

b

6.

is 60% of 100.

is 40% of 300.

7.

is 10% of 50.

is 30% of 10.

8.

is 20% of 200.

is 70% of 20.

9.

is 50% of 40.

is 80% of 60.

10.

is 25% of 40.

is 42% of 150.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 24

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Percents Try finding percents by using division.

What percent of 100 is 5? 60 is 5% of what number?

5 ÷ 100 + .05 = 5% 60 ÷ 0.05 = 1,200

Directions: Answer the question or complete the number sentence. a

b

1. What percent of 40 is 5?

What percent of 150 is 15?

2. What percent of 8 is 48?

What percent of 400 is 20?

3. What percent of 100 is 10?

What percent of 45 is 9?

4. What percent of 20 is 4?

What percent of 30 is 30?

5. What percent of 200 is 50?

What percent of 4000 is 4?

6.

= 8% of 16

= 25% of 250

7.

= 100% of 60

= 15% of 45

8.

= 50% of 90

% of 10 = 5

9.

= 40% of 100

% of 20 = 2

10. 26 =

% x 520

294 =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

% x 980

Date 25

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Convert Numbers Percents can be understood as both decimals and fractions.

10% (0.10) is “10 hundredths” or 10 1 = 100 10 Directions: Write each percent as both a decimal and a fraction. Simplify. a

b

1. 25%

63%

2. 7%

16%

3. 67%

125%

4. 92%

46%

5. 150%

200%

Directions: Write each decimal as a fraction and a percent. a

b

6. 0.51

0.04

7. 0.72

0.125

8. 0.3

0.423

9. 0.06

1.24

10. 0.15

2.78

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 26

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

€

Convert Numbers Find an equivalent fraction with a common denominator of 100, and then write the numerator with a percent sign. 4 20 80 × = = 80% 5 20 100 Directions: Convert each fraction to a percent. a

c

b

1.

53 = 100

1 2

=

9 10

=

2.

49 = 100

1 4

=

5 10

=

3.

75 = 100

3 4

=

23 = 25

4.

83 = 100

3 5

=

11 = 20

5.

138 = 100

2 5

=

23 = 50

6.

250 = 100

21 = 5

5 = 25

7.

12 = 100

1 = 10

3 10

=

8.

9 = 100

1 5

7 10

=

9.

20 = 100

7 = 10

48 = 5

10.

91 = 100

99 = 10

3 = 25

=

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 27

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Convert Numbers Let’s continue our practice of converting percents, decimals, and fractions.

Directions: Write each decimal as a fraction and as a percent. a

b

1. 0.635

0.3

2. 0.819

0.102

3. 3.69

0.6

4. 23.5

16.25

5. 100.75

200.2

Directions: Complete the tables. Fraction Percent Decimal

Fraction Percent Decimal

0.06

6. 7. 8.

18% 25%

10.

12.

34%

14.

40%

0.8 50% 0.49

15.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

64%

13.

0.17

9.

11.

Date 28

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Exponents Exponents show how many times a number is used as a factor.

49 7X7

7 X 7 can be written in exponent form. exponent 72 base

7 x 7 can be read, “7 to the 2nd power” or “7 squared.” Directions: Write the prime factorization or the exponent. a

b

1.

12

6× 6× 6

2.

73

3× 3× 3× 3× 3× 3

3.

16 4

8× 8× 8× 8

4.

20 5

5× 5× 5× 5

5.

34

12 3

Directions: Write either the exponent or the name of the exponent. a

b

6.

10 to the 2nd power

100 4

7.

43

−2 2

8.

six to the fifth power

714 3

9.

two to the sixth power

eight to the first power

nine cubed

4 to the power of 0

10.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 29

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Use Exponents Now, let’s learn how to use exponents.

10 3 = 10 × 10 × 10 = 1000 exponent form

meaning

4 2 = 4 × 4 = 16

value

exponent form

meaning

value

Directions: Write the value of each. a

1.

b

10 5

22

12 2

2. 10 4 3.

33

10 2

4.

45

82

5.

53

37

6. nine squared 7.

six cubed

22 × 42

16 × 61

8. 7 cubed x 10 squared

12 squared + 10 cubed

Directions: Write the expression using exponents. a

b

9. 5 × 5 × 5

3 × 10 × 3 × 10

10. 14 × 1 11.

5× 6× 3× 3× 6× 5 2 × 2 × 7 ×1

4 × 4 × 10 × 10

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 30

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems When you read word problems, look for important words and phrases to help you figure out what you need to do to solve. Directions: Read each problem and solve. 1. The average rainfall during springtime is 6.13 cm per month.When rounded to the nearest tenth, what is the average rainfall? 2. Washington School has 4,036 students. Nicklin School has 4,360 students. Which school has the most students? 3. Which point on the number line represents a number greater than 0.2 but less than 0.5?

A

B

C D

0.0 0.1 0.2 0.3 0.4 0.5

4. Students are allowed no more than 2.5 hours of study hall per week.Which of the following students have gone over the allowed amount of study hall time? name Abby Pedro Rosalyn Daniel

hours of study hall 1 2 2 3 2 4 2.53 1 2 3

5. During flu season, 40% of the 35 students in Mrs. Rodriguez’s class got the flu. How many students got sick? Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 31

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems Word problems can be fun! Let’s keep trying to solve them! Directions: Read each problem and solve. 1. Scientists have just discovered people on Pluto. Here are the populations for the years 2003 and 2005 in the four villages on Pluto. village

List the places in order of increasing size in both 2003 and 2005.

population 2003

2005

Vertu

129

204

Eilosa

308

292

Pridi

90

50

Dedrum

1200

1500

2003

2005

2. In which year was the total population of the planet greater? 3. There are 50 children and 20 adults in one neighborhood in Dedrum.What percent of the total people in this neighborhood are children?

15%

4. Reality shows make up what percent of TV watching?

50%

20%

5. Write the percent of comedy shows watched as a fraction. 6. Write the percent of talk shows watched as a decimal.

15%

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 32

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Number Sense Let’s review what we’ve learned so far! Directions: Rewrite the number in another form. a

1.

2.

b

six million four hundred thousand

40,000 + 7,000 + 600 + 70 + 2

in expanded form

in standard form

a deposit of $20 in a bank account

43 degrees below zero as an integer

as an integer 3.

4.

the opposite of –534 as

the opposite of 16 feet above sea

an integer

level as an integer

sixteen tenths as a decimal

twenty nine hundreds and five tenths as a decimal

5.

six sevenths as a fraction

0.57 as a fraction

7 as an equivalent fraction 10 5 in short word form 8

8.

6.23 as a fraction

13 as an equivalent fraction 10 5 6 as a fraction 9 4% of 12 as a decimal

9.

6% of 40 as a fraction

116% as a decimal

10.

232% as a fraction

2

11.

53 as a mixed number 8

5 to the tenth power

12.

six to the first power

14 cubed

6. 7.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

3 as a decimal 5

Date 33

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Number Sense Keep practicing!

Directions: Order the numbers from least to greatest. a

b

1.

204 242 224

7 7 77 10 100 100

2.

631 361 163

1 7

1 8

3.

2,479 2,947 2,794

0.45

45 45 10 1000

4.

0.434 0.043 0.334

5.

10.07 10.7 10.071

1 3

6 0.16 10 0.006 23.47

2

5 6

47 10

Directions: Answer the question. 6.

What is 13 digits to the left of +10 on a number line?

7.

What is 0.146 rounded to the nearest tenth?

8.

What is 7,644 rounded to the nearest thousand?

9.

In 17,891 which digit is in the thousands place?

10.

Write the place value of 5 in the number 122.15

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 34

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Use Addition/Subtraction Fact Families These fact families will help you learn faster!

Fact family: 2, 5, 7 Addition: 2 + 5 = 7; 5 + 2 = 7 Subtraction: 7 – 2 = 5; 7 – 5 = 2

Directions: Use the fact families to write at least one addition sentence and one subtraction sentence. a

b

c

1.

Fact family: 8, 1, 9 Addition: Subtraction:

Fact family: 20, 15, 5 Addition: Subtraction:

Fact family: 64, 40, 24 Addition: Subtraction:

2.

Fact family: 11, 5, 16 Addition: Subtraction:

Fact family: 32, 17, 15 Addition: Subtraction:

Fact family: 78, 51, 27 Addition: Subtraction:

3.

Fact family: 9, 7, 16 Addition: Subtraction:

Fact family: 25, 12, 13 Addition: Subtraction:

Fact family: 86, 23, 63 Addition: Subtraction:

4.

Fact family: 12, 7, 19 Addition: Subtraction:

Fact family: 27, 21, 6 Addition: Subtraction:

Fact family: 97, 52, 45 Addition: Subtraction:

5.

Fact family: 8, 13, 5 Addition: Subtraction:

Fact family: 41, 20, 21 Addition: Subtraction:

Fact family: 101, 66, 35 Addition: Subtraction:

6.

Fact family: 7, 8, 15 Addition: Subtraction:

Fact family: 53, 13, 40 Addition: Subtraction:

Fact family: 150, 96, 54 Addition: Subtraction:

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 35

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Learn Properties of Addition Learning the properties of addition will make addition easier. Commutative Property: Changing the order of numbers 4 + 6 = 10 does not change the sum. 6 + 4 = 10 Associative Property: Grouping numbers does not change the sum.

Zero Property: The sum of zero and any number is that number.

(6 + 4) + 2 = 12 123

12 + 0 = 12

10

6 + (4 + 2) = 12 123 6

Directions: Use the properties of addition to help you add.Tell which property you use in each case. 1. 12 + 4 =

+

2. 20 + 14 =

=

+

3. 50 + 120 =

____________

=

+

____________

=

4. 100 + 0 = 5. 150 +

____________ ____________

= 150

6. (26+6) + 7 =

____________ +(

+

7. 20 + 0 = 8. 52 + 25 =

)=

____________

____________ +

9. 260 + 620 =

= +

____________ =

____________

10. 17 + (87+42) = (

+

)+

=

____________

11. 63 + (27+15) = (

+

)+

=

____________

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 36

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Addition Facts Learn the fast facts of adding! Directions: Add. Learn the fast facts of addition by timing yourself. a

b

c

d

e

1.

1+ 9 =

3+ 6 =

7+ 7 =

4+ 4 =

7 +1=

2.

6+ 4 =

8+ 4 =

8+ 3 =

2+ 5 =

10 + 4 =

3.

5+ 4 =

9+ 3 =

6+ 5 =

7+ 3 =

4+ 5 =

4.

9+ 2 =

8+ 8 =

8+ 2 =

8 +1=

2+ 9 =

5.

2+ 7 =

7 +1=

5+ 5 =

10 + 0 =

12 + 3 =

6.

2+ 5 =

3+ 2 =

2+ 4 =

6+ 2 =

10 + 8 =

7.

3+ 3 =

6+ 6 =

7+ 6 =

10 + 3 =

12 + 7 =

8.

4+ 3 =

8+ 0 =

0+ 9 =

7 + 10 =

13 + 1 =

9.

7+ 4 =

7 +1=

10 + 2 =

2 +1=

12 + 4 =

10.

4+ 9 =

9+ 5 =

1+ 6 =

11+ 1 =

4+ 8 =

11.

5+ 3 =

10 + 1 =

10 + 5 =

10 + 10 =

12 + 5 =

12.

5 +1=

8+ 5 =

4 +1=

4+ 7 =

11+ 3 =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 37

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Addition Facts Let’s try more fast facts! Directions: Time yourself. Learn these addition facts by heart. a

b

c

d

1.

6 + 10 =

11+ 5 =

18 + 9 =

18 + 2 =

2.

8+ 6 =

13 + 4 =

17 + 8 =

13 + 8 =

3.

7+ 5 =

15 + 7 =

11+ 8 =

20 + 2 =

4.

8+ 7 =

17 + 9 =

12 + 10 =

18 + 5 =

5.

9+ 8 =

16 + 9 =

18 + 6 =

19 + 9 =

6.

9+ 7 =

15 + 8 =

15 + 10 =

23 + 5 =

7.

9+ 9 =

12 + 4 =

17 + 3 =

21+ 3 =

8.

9+ 6 =

14 + 8 =

13 + 3 =

30 + 13 =

9.

11+ 4 =

15 + 6 =

16 + 7 =

19 + 4 =

10.

13 + 7 =

12 + 8 =

22 + 5 =

24 + 6 =

11.

14 + 6 =

11+ 7 =

13 + 7 =

27 + 4 =

12.

12 + 0 =

13 + 6 =

15 + 9 =

16 + 11 =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 38

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Up to 2 Digits Let’s try adding bigger numbers. Add from right to left:

1

1

65 + 22 97

89 + 72 161

Directions: Add. Regroup when necessary. a

b

c

d

e

f

1.

48 + 72

67 + 18

44 + 31

12 + 21

13 + 11

76 + 10

2.

45 + 13

51 + 29

27 + 15

63 + 11

36 + 66

89 + 19

3.

82 + 20

73 + 17

93 + 22

10 + 88

68 + 25

71 + 42

4.

34 + 91

13 + 24

72 + 26

27 + 58

30 + 74

76 + 93

5.

55 + 28

94 + 10

14 + 83

45 + 23

63 + 42

52 + 27

6.

35 + 75

26 + 31

47 + 78

54 + 27

65 + 31

31 + 49

7.

26 + 35

47 + 78

75 + 24

85 + 53

77 + 77

68 + 99

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 39

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Up to 4 Digits You’re becoming a pro! 1 11

4793 + 348 5321 Directions: Add. a

b

c

d

e

f

1.

1723 + 47

1964 + 29

1680 + 36

1524 + 57

1205 + 18

1322 + 65

2.

1563 + 75

1984 + 86

1629 + 94

1746 + 71

1427 + 83

1128 + 42

3.

2762 + 416

7216 + 317

6431 + 157

4259 + 511

6178 + 275

3672 + 648

4.

8428 + 229

3675 + 140

3759 + 613

1416 + 214

4536 + 463

8093 + 732

5.

5216 + 845

9230 + 517

2911 + 245

4218 + 316

2537 + 1995

8934 + 1261

6.

8309 + 1467

3085 + 2085

3182 + 4296

4164 + 1771

2420 + 4240

5124 + 1017

7.

7832 + 2654

1863 + 3126

2 711 + 5625

1999 + 7644

1119 + 4217

2015 + 1230

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 40

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Up to 7 Digits Keep adding.You’re getting good at it! 1

1

6, 74 3,182 9,750 + 6, 752, 932 Directions: Add. a

b

c

d

1.

4, 976, 310 + 492, 761

9,764 ,153 + 5, 544, 534

1, 430, 172 + 335 , 419

2, 035, 821 + 757, 345

2.

1, 354, 867 + 6, 921, 899

3, 847, 327 + 2, 651, 986

5, 329, 495 + 5, 660, 375

7 , 634, 278 + 6, 374, 638

3.

6, 433, 367 + 6 , 728, 358

8, 647, 568 + 3, 863, 269

2 , 785, 889 + 5, 902, 603

4, 396, 345 + 9, 617, 311

4.

3, 829, 932 + 3, 290, 133

5, 726, 483 + 5, 419, 566

6, 537, 285 + 4, 510, 935

7, 622,164 + 2, 140, 527

5.

9, 963, 275 + 2, 693, 359

8 , 257, 410 + 6, 779, 028

7 , 563 ,150 + 3, 736, 162

9, 648 ,103 + 2, 460,128

6.

7 , 182, 648 + 5, 202, 535

2 , 568 , 973 + 7, 268, 822

6 , 258, 473 + 5, 411, 650

8, 675, 309 + 7, 737, 5 00

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 41

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Decimals Adding 0decimals .4 + 0.63is easy! Just line up the decimal points. 0.4 + 0.63

1

0.40 ¨ add a zero so the decimals have the same number of places +0.63 1 0.40 1.03 +0.63 Directions: Add the decimals. 1.03 a

b

c

d

1.

0.24 + 6.9

3.48 +17.95

1. 354 + 4.13

2. 573 +15.98

2.

4.0 + 8.12

19.07 + 0.08

8 . 095 + 7. 986

7.009 + 3.38

3.

3.73 + 2.763

0.53 + 0.032

77.813 + 35.17

5.006 +102.48

4.

0 .015 + 2.920

7.142 + 1. 3139

734.309 + 32.906

4 832.56 + 2759. 1

5.

38.6 + 0.09

27.9 + 14.32

0.93621 + 1 .4765

47.073 + 63.09

6.

0.843 + 0.4792

5.65 +3.87

64.95 + 3.2

6.571 + 66.23

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 42

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Addition Practice makes perfect! Directions: Add. a

b

c

d

e

1.

82 +24

267 + 570

7, 512 + 393

52, 964 +71, 530

63,141 +82,169

2.

44 + 22

138 + 625

21, 837 + 6, 431

46, 781 +52, 432

1, 020, 587 +7,123, 564

3.

853 + 231

832 +145

78, 302 +21, 345

94, 628 +14, 830

728, 451 +783, 240

4.

372 +480

796 +374

52, 645 + 3, 512

74, 326 + 2, 469

3,124, 000 + 6, 613

5.

761 +842

421 +728

72, 430 + 6, 741

68, 351 + 5, 284

2,157 +323, 090

6.

8, 431 +1, 083

5, 001 +2, 173

84, 257 + 1, 230

5, 401, 364 +2, 911, 532

3, 456, 182 + 621, 435

7.

2 ,196 + 3, 842

812 + 614

21, 659 + 7,105

46, 365 + 49

93,146 + 639

8.

5, 215 + 8 ,165

308 + 410

73, 431 + 5, 214

3, 732 .43 + 0.67

2 , 117, 105 +4, 004, 632

€ Name

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 43

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Addition Addition is a useful skill! Keep practicing. Directions: Add. a

b

c

d

e

1.

1.760 +3.394

0.634 + 1.369

43 .240 + 67. 116

624.3 + 427.16

9 , 282.394 + 5, 411. 650

2.

34 . 096 + 65. 510

46 .40 + 0. 72

177. 1634 + 643.2768

999.32 + 331. 00

979.783 + 317.62

3.

10.025 + 93.006

0.601 + 4.387

96, 843.31 + 898.2

382.77 + 309.42

1, 458.10 + 573.697

4.

104.13 + 35.035

0.54 + 8.71

416.45 + 273.13

951.43 +275.90

144.2184 + 3.934

5.

23.375 +31.657

168.21 +149.42

771 +397.54

0.7543 +425.6

1, 890.4366 +2, 657.2858

6.

83.08 +12.32

60.05 +75

691.04 +173.42

403.3917 + 7.500

506 + 0.43

7.

98.31 +66.15

215.84 + 95

45.7911 +357.5

629.477 +122.04

8000.800 + 7020.1704

8.

287.01 + 95.2

36.9 +24.0

196.64 +276.48

895.23 + 0.42

63.752606 +7.922616

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 44

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Addition One more page of practice can’t hurt! Directions: Add. a

b

1.

3, 143 + 46, 735

4, 752 + 63, 646

2.

15, 830 + 75, 558

3.

c

d

e

8, 718 + 5, 966

50, 237 + 29, 791

27, 810 + 35, 238

19, 054 + 15, 967

5 1, 241 + 22, 111

3 7, 163 + 20, 719

19, 417 + 50, 720

68, 201 + 82, 246

74, 148 + 26, 290

99, 239 + 13, 833

95, 15 1 + 65, 428

16, 566 + 11, 606

4.

46, 169 + 15, 254

9, 47 1, 464 + 3, 483, 217

5, 171, 837 + 6, 418, 923

6, 238, 885 + 7, 201, 684

5, 648, 040 + 3, 743, 375

5.

480, 987, 303 826, 981, 501 523, 314, 802 + 387, 876, 955 + 611, 357, 241 + 3, 450, 400

7, 453, 072 + 2, 041, 143

1, 596, 741 + 419, 564

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 45

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Subtraction Facts We’ll start with subtraction we already know.

Directions: Practice learning subtraction facts. a

b

c

d

1.

6− 5 =

8− 7 =

7− 5 =

10 − 8 =

2.

6− 6 =

12 − 5 =

6− 2 =

14 − 6 =

3.

11− 8 =

9− 2 =

7− 2 =

9− 4 =

4.

7− 3 =

9− 3 =

10 − 3 =

12 − 7 =

5.

9 −1=

5− 5 =

7− 6 =

11− 2 =

6.

9− 6 =

4− 0 =

10 − 1 =

8− 5 =

7.

7− 5 =

11− 7 =

12 − 4 =

13 − 5 =

8.

9− 5 =

8− 6 =

12 − 9 =

18 − 9 =

9.

8− 3 =

10 − 7 =

16 − 5 =

14 − 8 =

10.

12 − 8 =

13 − 7 =

15 − 5 =

13 − 8 =

11.

14 − 9 =

10 − 3 =

18 − 1 =

17 − 4 =

12.

11− 9 =

15 − 7 =

12 − 3 =

16 − 8 =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 46

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Subtraction Facts Try learning subtraction facts with larger numbers.

Directions: Time yourself as you practice these subtraction facts. a

b

c

d

1.

13 − 9 =

20 − 5 =

14 − 5 =

47 − 4 =

2.

14 − 9 =

19 − 4 =

15 − 8 =

20 − 18 =

3.

14 − 6 =

22 − 6 =

46 − 1 =

27 − 8 =

4.

15 − 9 =

12 − 10 =

53 − 6 =

61− 14 =

5.

16 − 7 =

30 − 7 =

72 − 4 =

65 − 11 =

6.

10 − 8 =

32 − 10 =

40 − 15 =

81− 17 =

7.

16 − 9 =

39 − 9 =

24 − 7 =

54 − 10 =

8.

17 − 10 =

42 − 9 =

26 − 16 =

68 − 13 =

9.

11− 8 =

23 − 8 =

35 − 9 =

70 − 11 =

10.

17 − 9 =

62 − 6 =

50 − 14 =

100 − 12 =

11.

13 − 8 =

80 − 4 =

63 − 10 =

89 − 7 =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 47

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Up to 2 Digits Subtract more than one digit by regrouping the numbers.

Subtract from right to left, using the regrouping technique.

4

52 − 37 15

Directions: Subtract. Regroup when necessary.

€

a

b

c

d

1.

32 − 12

89 − 63

51 − 17

19 − 14

2.

27 − 15

75 − 24

22 − 14

44 − 18

3.

52 −27

94 − 26

67 − 32

53 − 36

4.

65 − 48

84 − 32

34 − 12

66 − 52

5.

90 − 72

82 − 64

46 − 37

81 − 46

6.

37 − 19

72 − 28

96 − 27

57 − 12

7.

33 − 21

80 − 65

70 − 21

96 − 35

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 48

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Up to 4 Digits Keep going with even bigger numbers. 1

6 21

1731 − 1487 244

Directions: Subtract. Regroup when necessary. a

b

c

d

e

1.

7234 − 5361

8240 − 5611

6241 − 2785

6430 − 5429

6640 − 2741

2.

9264 − 1578

6061 − 4835

4132 − 3087

5312 − 3964

2731 − 1658

3.

8140 − 3594

4235 − 1578

1330 − 475

1764 − 1238

8023 − 2990

4.

9968 − 882

8818 − 2982

9495 − 3109

9114 − 6478

3724 − 1189

5.

6266 − 6158

3851 − 2355

3903 − 1745

5186 − 2719

9501 − 8247

6.

2901 − 1347

6020 − 3427

6400 − 5538

1901 − 1146

5364 − 3496

7.

9224 − 5514

2276 − 1864

7269 − 1162

6185 − 921

8319 − 4119

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 49

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Up to 7 Digits Wow! You’re working with some big numbers! Directions: Subtract. a

b

c

d

1.

529, 840 − 60, 841

358, 618 − 263, 449

5, 990, 539 − 848, 333

9, 592, 407 − 3, 496, 618

2.

140, 429 − 39, 465

723, 656 − 302,148

9,697, 601 − 786, 590

6, 926,171 − 4, 378, 686

3.

649, 893 − 14, 556

473, 001 − 318, 898

6, 730, 505 − 220, 080

7, 357, 812 − 1, 257, 384

4.

126, 806 − 68, 930

994, 896 − 448, 125

4,792, 385 − 369, 302

8, 259, 270 − 7, 232,497

5.

345, 297 − 56, 046

325, 826 − 122,198

1, 972, 286 − 177, 398

1, 371, 911 − 1, 274, 366

6.

705, 319 − 71, 402

225, 068 − 216, 696

2, 617, 318 − 351, 201

2,520, 407 − 2,114, 048

7.

880, 661 − 62, 577

596,193 − 124, 370

3, 587, 628 − 522, 459

4, 426, 730 − 1, 000, 010

8.

254, 964 − 29, 941

751, 395 − 456, 016

7, 851154 , − 425,188

5, 374, 020 − 4, 218, 182

€ Name €

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 50

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Decimals Remember to align the decimals as you subtract.

Directions: Subtract. a

b

c

d

e

f

1.

19.9 − 19.1

61.3 − 44 .1

18.07 −1.01

89.96 − 3.04

0.476 − 0.370

74.69 − 18.47

2.

7.1 − 2.9

59.2 − 2.8

17.66 − 1.3

97.2 − 93.94

92.1 − 1.9

94.5 − 48.2

3.

3.1 − 1.8

72.3 − 2.5

52.74 − 8.52

64.173 − 40.01

5.9 − 1.5

3.077 − 1.75

4.

42.6 − 7.2

13.5 − 1.6

9.4 − 2.05

41.945 − 1.294

7.5 − 7.41

29.156 − 7.6

5.

9.1 −7.9

93.9 − 8.1

65.27 − 3.02

65.854 − 6.8

9.7 − 2.01

5.837 − 1.601

6.

20.2 − 9.1

9.2 −2.6

19.21 −11.07

7.0032 −5.25

37.2 −19.9

66.355 −28.3

7.

96.1 −8.6

70.9 −19.1

84.8 −30.06

61.004 −60.485

8.5 −5.44

9.04 −2.248

8.

52.6 −4.8

9.15 −5.56

63.35 −18.52

82.2951 −42.0273

80.3 −5.6

8.397 −5.2

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 51

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Subtraction Now, let’s practice those subtraction skills!

Directions: Subtract. a

b

c

d

e

f

1.

78 − 15

515 − 208

7,169 − 526

83, 454 − 4, 440

357409 , − 96,108

4, 749, 908 − 254, 394

2.

64 − 20

374 − 347

4, 766 − 831

77, 184 − 6, 003

646, 844 − 73, 024

2, 618, 835 − 356, 262

3.

79 − 66

833 − 388

6, 430 −1, 704

24, 260 −2, 521

822, 241 − 82,119

6, 421, 203 − 5, 959, 777

4.

87 − 26

136 − 97

4, 534 − 4, 499

52,662 −17,138

269, 628 − 88, 538

3,143, 981 − 2, 306, 823

5.

92 − 39

492 − 85

8, 921 − 4, 927

67, 203 − 42, 209

806, 420 − 466, 229

7, 561, 035 − 4, 523, 010

6.

72 − 33

366 − 245

8, 405 − 7, 276

73, 424 − 46, 007

989, 837 − 443,103

59.5 − 24.3

7.

34 − 28

723 − 396

7, 582 − 7, 076

97, 239 − 49, 287

696, 337 − 273, 913

66.489 − 2.494

8.

95 − 46

905 − 347

9,154 − 2,392

60, 844 − 31, 011

784, 915 − 772, 033

42, 027 − 8, 295

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 52

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Subtraction Keep it up! You’re almost there!

Directions: Subtract. a

b

c

d

e

f

1.

17 −9

714 −17

811 − 597

5, 668 − 5, 440

227,194 − 84, 517

90.3 − 74.9

2.

12 −8

726 − 30

673 − 583

2, 206 − 2, 041

327, 883 − 91, 241

41.8 − 41.6

3.

16 −7

125 − 40

564 − 372

7 ,132 − 5, 285

707, 901 − 603, 201

69. 2 − 37.05

4.

66 −19

920 − 34

801 − 581

89, 227 −14, 822

740, 969 − 200, 634

34.8 −11.54

5.

59 −15

470 − 97

997 − 776

76, 269 − 8, 926

930, 456 − 459, 994

7.102 − 4.9

6.

78 − 37

739 − 669

1, 017 − 984

82, 424 − 3, 719

437, 994 − 31, 003

75.843 − 3.9

7.

47 −38

893 −356

5, 311 −721

67, 914 −48, 800

9, 637, 725 −235, 406

77.1 −1.1

8.

81 −39

826 −393

9, 305 −814

41, 574 −34, 654

8, 498, 892 −5, 435 , 180

71.05 −44.983

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 53

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Check Addition and Subtraction You can check your own work to make sure you’re on the right track! Check addition with subtraction.

Check 43 31 subtraction − 12 Á + 12 with addition. 31 43

52 65 + 13 Á − 13 65 52

Directions: Add.Then subtract to check your answer. a

b

1.

52 + 27

91 + 73

2.

63 + 25

3.

56 + 48

c

d

e

38 + 19

153 + 85

816 + 395

45 + 33

126 + 37

703 + 192

926 + 178

47 + 78

172 + 76

546 + 931

927 + 405

Directions: Subtract.Then add to check your answers. a

b

c

d

e

4.

75 − 24

37 − 22

542 − 45

764 − 574

654 − 309

5.

89 − 63

45 − 29

748 − 35

733 − 322

429 − 318

6.

95 − 26

78 − 63

322 − 58

812 − 732

829 − 573

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 54

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems Word problems tell a story using numbers. Directions: Solve. Show your work. 1. Mrs. Harris delivered thirty-one letters to the houses on Walker Street and fifty letters to the houses on Elm Street. How many more letters did she bring to the houses on Elm Street?

2. Ohio’s highest elevation is Campbell Hill at 1,549 feet above sea level. The lowest elevation is the Ohio River, measuring 455 feet above sea level. What is the difference between the highest elevation and the lowest?

3. Grandma stitched a quilt for me. She used sixty-one red squares, seventyfour blue squares, seventy-nine yellow squares, and ninety-two green squares. How many squares did it take to make the quilt?

4. Mr. Rodriguez counted the blue pants in his sporting good store.There were 42 small blue pants, 18 medium blue pants, and 76 large blue pants.There were also 14 extra large blue pants. How many pants were there in all?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 55

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems Use the word clues in each story to solve. Directions: Solve. 1. The Los Angeles Lakers played the Boston Celtics on Tuesday. 15, 432 tickets were sold on Monday. If the total number of tickets available for sale is 19, 392, how many tickets were available for sale on the day of the game?

2. Tasha has 12 candy bars to share equally with 2 friends. How many candy bars will Tasha have for herself after she shares the candy with her friends?

3. The family dog buries objects under the porch.This month, she has buried 13 bones, 4 slippers, 2 balls, and 1 rag. She dug up four bones and the rag. How many objects are still buried?

4. Mikah had to stop running in order to catch his breath. He had run 4 blocks north, 1 block east, 3 blocks south, and 9 blocks west. How many blocks did Mikah run in all?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 56

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Addition and Subtraction Let’s mix it up a little with some practice! Directions: Solve. a

b

c

d

e

f

1.

571 + 79

710 + 45

538 + 75

544 − 39

459 − 32

342 − 23

2.

245 + 312

139 + 259

643 + 710

1, 210 − 516

3.

2,161 − 471

1, 122 + 3, 314

4.

30 48 + 23

43 32 + 15

5.

6, 477 + 1, 255

66 , 174 + 2, 310

6, 292 − 552

7, 834 − 378

4, 710 − 145

39, 340 + 1 , 792

2, 562 − 1, 003

6, 323 − 4 , 701

3, 549 7, 834 + 3, 512

31, 605 − 14, 791

7, 206 − 5, 216

2, 520 73 − 172

91, 432 + 67, 529

4, 914 − 3, 718

1, 720 4, 350 + 8 , 321

1, 827, 321 + 3, 456, 004

Directions: Solve. 6. Skylar, Li, and Kaylee held a contest to find out who could throw the ball the longest distance. Skylar could throw it 8 feet. Li could throw it 17 feet. Kaylee could throw it 20 feet. How many feet further could Kaylee throw than Li?

7. My dad mended my torn socks. I found 14 in my closet, 8 in the laundry, 1 on the floor, and 5 in the dryer. How many torn socks did I have?

Name €

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 57

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Addition and Subtraction Here’s some more practice. Directions: Solve. a

b

c

d

e

f

1.

854 + 86

653 + 97

231 + 76

127 + 82

962 + 47

832 + 69

2.

224 +296

652 −315

930 −462

768 −252

784 +829

274 −172

3.

5, 068 +3, 678

7,105 −6,134

9, 226 − 1 , 435

3, 672 − 1, 539

4 ,136 + 5, 370

3, 471 +5, 792

4.

84 60 +32

42 33 +23

2, 816 32 + 142

62, 982 +80,170

5.

5, 534 1, 468 +3,137

42,163 −21, 911

13 , 128 − 2, 469

3, 089 −2, 654

6, 587, 219 9, 742, 531 + 7, 304, 267 −3, 274, 612

8, 323 −1, 476

3, 573 −1, 829

Directions: Solve. 6. Today, we are having a kite competition.There are 50 red kites, 112 yellow kites, 24 green kites, and 70 blue kites in the competition. How many kites total are in the competition?

7. Samir had 729 yards of silk in his store. Zaira bought 12 yards and Yulfia bought 9 yards. How many yards of silk does Samir have left in the store?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 58

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Multiples A multiple is a product of a given number and any whole number. Multiples of 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36

2

3

3

4

4

9

6 8

12

15 16

12

21 24

18 20

12 units

24

27

30

28

32

24 units

33 36 36

36 units

Directions: List the first 10 multiples of each number. 1.

5

,

,

,

,

,

,

,

,

,

2.

6

,

,

,

,

,

,

,

,

,

3.

7

,

,

,

,

,

,

,

,

,

4.

8

,

,

,

,

,

,

,

,

,

5.

9

,

,

,

,

,

,

,

,

,

6.

12

,

,

,

,

,

,

,

,

,

7.

10

,

,

,

,

,

,

,

,

,

8.

15

,

,

,

,

,

,

,

,

,

9.

11

,

,

,

,

,

,

,

,

,

10.

20

,

,

,

,

,

,

,

,

,

11.

16

,

,

,

,

,

,

,

,

,

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 59

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Multiples Whole numbers have common multiples. Let’s find them! Directions: List the multiples for each pair of numbers as needed to find the least common multiple. Circle the LCM. 1.

4 6

2.

8 12

3.

9 15

4.

15 20

5.

3 5

Directions: List the first 5 multiples of each number. 6.

30

7.

24

8.

25

9.

35

10. 13 Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 60

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Factors To find factors of a number, find numbers that divide evenly into the number. 8 = 4× 2

8 = 8 ×1

The factors of 8 are 1, 2, 4, 8.

Directions: Fill in the blank of the missing factor. a

b

c

1.

5 = 5×

6=2× 1×

20 = 4 × 2×

2.

27 = 9 × 27 ×

30 = 6 × 3× 30 × 2×

24 = 2 × 4× 8× 1×

3.

25 = 5 × 1×

21 = 7 × 21 ×

18 = 6 × 2× 18 ×

Directions: List the first 5 multiples of each number. 4.

15

5.

10

6.

12

7.

35

8.

64 Date

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

61

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Prime Factors Primes have only themselves and 1 as factors.You can express any number as the product of primes. 25 = 5 × 5 = 52

24 = 3 × 2 × 2 × 2 = 3 × 33

Directions: Express each number as the product of primes. Use exponents when possible. 1.

27

2.

28

3.

35

4.

36

5.

45

6.

47

7.

49

8.

56

9.

50

10.

64

11.

72

12.

81

13.

121

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 62

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Multiplication Facts Learn these facts by heart and become an expert!

Directions: Multiply. a

b

c

d

e

f

1.

5 ×3

2 ×2

3 ×2

8 ×7

5 ×9

8 ×8

2.

6 ×2

7 ×6

6 ×5

5 ×7

9 ×3

3 ×7

3.

7 ×7

3 ×8

9 ×2

8 ×9

4 ×6

5 ×5

4.

6 ×6

9 ×4

6 ×8

4 ×7

9 ×9

8 ×5

5.

7 ×9

8 ×2

7 ×0

6 ×9

2 ×7

5 ×2

6.

4 ×2

3 ×4

4 ×4

5 ×4

8 ×4

3 ×6

7.

7 ×10

10 ×8

11 ×1

3 ×3

10 ×5

6 ×10

8.

10 ×3

4 ×10

10 ×7

8 ×10

10 ×9

11 ×2

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 63

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Multiplication Facts Keep practicing the fast facts and multiplying will be a breeze!

Directions: Multiply. a

b

c

d

e

1.

2 ×2

9 ×10

5 ×6

2 ×12

4 ×5

2.

3 ×5

12 ×1

9 ×8

6 ×4

7 ×3

3.

4 ×3

8 ×3

5 ×10

2 ×4

3 ×9

4.

10 ×8

4 ×9

2 ×8

6 ×7

2 ×3

5.

2 ×5

9 ×5

7 ×4

2 ×9

9 ×6

6.

7 ×8

9 ×7

7 ×2

5 ×8

2 ×6

7.

11 ×3

7 ×5

6 ×0

8 ×10

2 ×8

8.

6 ×3

2 ×5

10 ×6

4 ×0

10 ×4

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 64

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply 2 Digits by 1 Digit Multiply the 1 digit number by the value in each place in the 2-digit number.

72 × 4 288

Directions: Multiply. a

b

c

d

e

f

1.

32 × 2

14 × 4

63 × 5

97 × 5

25 × 7

66 × 8

2.

21 × 3

77 × 0

83 × 9

11 × 4

57 × 6

74 × 1

3.

18 × 6

31 × 3

52 × 7

82 × 9

98 ×2

46 ×5

4.

45 ×8

25 × 4

31 ×6

18 ×3

29 ×6

33 × 8

5.

56 × 7

16 ×9

57 ×2

69 ×7

93 × 2

75 ×5

6.

67 ×9

64 ×8

40 ×3

82 ×7

14 ×4

34 × 4

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 65

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply 4 Digits by 1 Digit Use the same technique here! Directions: Multiply. a

b

c

d

e

1.

5261 × 9

3856 × 2

1772 × 7

2152 × 0

4213 × 3

2.

1324 × 5

2135 × 3

1237 × 1

1728 × 9

3529 × 2

3.

1270 × 4

2561 × 4

4260 × 3

3587 × 8

4096 × 4

4.

7302 × 8

2343 × 2

6294 × 6

8095 × 4

4151 × 2

5.

8018 × 7

6587 × 5

3026 × 9

3123 × 7

2516 × 5

6.

7155 × 8

4261 × 6

3650 × 6

2139 × 1

1548 × 5

7.

4231 × 1

3456 × 8

6613 × 7

3090 × 2

2175 × 3

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 66

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply 7 Digits by 1 Digit Let’s keep going with 7-Digits. Directions: Multiply. a

b

c

d

1.

3,162, 613 × 9

4,162,132 × 2

2, 561, 089 × 6

4, 257, 035 × 5

2.

3, 752, 914 × 6

3,162, 755 × 5

2,131, 321 × 7

4, 213, 783 × 8

3.

4, 832,116 × 4

2,195, 037 × 7

5, 632, 546 × 6

3, 493, 981 × 4

4.

3, 216, 211 × 4

1, 221, 312 × 8

8, 378, 545 × 7

7, 600, 557 × 9

5.

2,175, 243 × 6

1, 456,173 × 8

4, 682,134 × 5

9,146,135 × 1

6.

6, 613, 342 × 5

1, 827, 570 × 4

9, 332, 892 × 3

8, 290, 213 × 2

7.

4, 281, 300 × 9

4, 356, 732 × 3

2, 539, 421 × 7

5, 924, 665 × 3

8.

2, 841, 316 × 2

8, 453, 748 × 5

3, 567, 030 × 4

3, 703, 598 × 6

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 67

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Decimals Count the total number of decimal places in the factors to place the decimal point in the product. 1

8.6 × 0.2 172 000 172 .

There are 2 decimal places in all. The decimal point in the product is placed 2 spaces from the right

Directions: Multiply. Place decimals in the correct places. a

b

c

d

e

1.

0.78 × 0.2

1 .2 × 0.3

2 .4 × 0. 1

6.525 × 2

0.68 × 7

2.

0.558 × 3

3.60 × 0.2

50.4 × 4

0.72 × 8

287.3 × 6

3.

0.0203 × 7

8.640 × 5

0.354 × 9

4.3 ×4

0.49 × 3

4.

0.46 × 8

6.3 ×7

1.09 × 4

4.8 ×2

5.2 ×7

5.

17.4 × 8

3.015 × 2

4.31 × 3

2.41 × 4

74.3 × 6

6.

7.6 ×4

8.2 ×5

3.44 × 8

72.1 × 6

61.4 × 9

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 68

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply 2 Digits by 2 Digits Multiply each bottom number by each of the top numbers from right to left. Then, add the products. 62 × 21 62 1240 1302

Directions: Multiply. a

b

c

d

e

f

1.

32 × 12

41 × 10

63 × 12

95 × 14

74 × 19

59 × 16

2.

28 × 15

16 × 54

62 × 70

84 × 60

73 × 90

37 × 40

3.

39 × 60

45 × 12

42 × 33

38 × 73

46 × 28

31 × 23

4.

47 × 17

54 × 26

37 × 41

42 × 13

27 × 42

36 × 27

5.

72 × 35

81 × 30

25 × 31

23 × 13

45 × 51

33 × 21

6.

82 × 18

32 × 44

12 × 42

14 × 66

61 × 30

44 × 31

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 69

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply 4 Digits by 2 Digits You can do this!

Directions: Multiply. a

b

c

d

e

f

1.

3126 × 42

4032 × 14

2134 × 71

8197 × 32

4640 × 60

4387 × 34

2.

5401 × 21

3697 × 75

1491 × 20

2158 × 38

3065 × 23

1961 × 12

3.

1974 × 21

1938 × 13

1232 × 11

2148 × 51

2374 × 97

3165 × 35

4.

1605 × 31

8308 × 40

9787 × 17

7382 × 22

6615 × 81

1990 × 13

5.

3375 × 17

5695 × 44

9831 × 32

4950 × 14

4475 × 10

6105 × 62

6.

4096 × 92

6734 × 99

2011 × 69

6144 × 15

3288 × 85

9566 × 57

7.

3761 × 47

1042 × 31

5213 × 16

7250 × 54

5309 × 95

1650 × 23

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 70

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply 7 Digits by 2 Digits Same procedures, bigger numbers! Directions: Multiply. a

b

c

d

1.

6, 064, 237 × 14

4, 998, 775 × 48

6, 750, 543 × 62

1, 031, 262 × 40

2.

3, 257, 465 × 25

8, 765, 418 × 36

6, 256, 050 × 97

3, 894,144 × 59

3.

4, 067, 059 × 50

2, 345, 621 × 19

4, 555, 081 × 36

7, 733, 659 × 21

4.

5, 370, 957 × 61

4, 242, 522 × 77

9, 808, 486 × 29

4, 943, 325 × 78

5.

4, 440,146 × 82

2, 538, 310 × 92

4, 332,149 × 71

6,142, 243 × 67

6.

1, 742, 594 × 73

6, 509, 006 × 81

1, 431, 298 × 16

2,140, 438 × 39

7.

1, 211, 435 × 21

1, 037, 459 × 60

1, 500, 397 × 28

6, 693, 826 × 19

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 71

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Decimals Practice multiplying decimals by larger decimals.

Directions: Multiply. a

1.

9.45 × 3.5

2.

7.6 × 0.06

3.

b

3.06 × 4.2

c

d

e

8.25 × 0.3

5.95 × 0.35

3.9 × 7.3

1.4 × 2.9

7.25 × 4.3

2.21 × 8.9

4.9 × 1.3

44.3 × 0.1

3.45 × 8.3

6 .5 × 42.5

11.9 × 5.6

8.6 × 2.3

4.

14.35 × 2.8

2.8 × 12.2

1. 47 × 0.62

15.3 × 0.1

59.0 × 1 .1

5.

2.99 × 4.8

7.49 × 0.39

19.2 × 7.1

4.19 × 3

12.2 × 4.3

6.

3.32 × 14

8.72 × 6

37.3914 × 2.3

18.53 × 4.2

17.76 × 1 .4

7.

13.3741 × 29

67.2614 × 4.2

14.9233 × 54

216.461 × 62

493.4132 × 71

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 72

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Division Facts Practice those division skills!

Directions: Divide. a

b

c

d

e

f

)

8 16

)

9 27

)

9 18

)

12

)

2 8

)

8 0

)

5 20

1.

6 18

)

4 12

)

5 45

2.

7 21

)

6 36

)

2 14

)

5 40

3.

6 24

)

7 56

)

8 32

)

6 48

4.

8 40

)

3 9

)

2 8

)

3 12

)

3 3

)

8 8

5.

5 10

)

9 90

)

3 30

)

8 56

)

4 24

)

5 0

6.

9 72

)

4 36

)

14

)

18

)

9 9

)

2 22

7.

3 21

)

9 45

)

2 6

)

4 44

)

4 20

)

7 14

8.

3 24

)

6 42

)

7 28

)

3 30

)

7 42

)

7 70

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

) ) ) ) ) ) ) )

Date 73

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Division Facts Wow! You’re a division wiz!

Directions: Divide. a

b

c

d

e

f

)

4 8

)

3 15

)

6 48

)

3 12

)

6 54

)

6 30

)

8 48

)

9 36

)

4 32

)

8 72

)

8 64

)

2 16

)

4 28

)

3 6

)

16

)

5 30

)

4 40

)

6 60

)

)

1.

5 35

2.

8 24

3.

2 18

)

7 63

4.

6 12

)

3 18

5.

9 63

)

2 12

)

2 20

5 15

)

2 10

)

9 99

6.

8 80

)

4 0

)

10 100

)

5 5

)

4 16

)

3 9

7.

3 27

)

5 50

)

12 0

)

7 35

)

9 0

)

7 49

8.

9 81

)

10 10

)

9 54

)

5 25

)

5 55

)

3 33

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

) ) ) ) ) ) )

Date 74

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide 2 Digits by 1 Digit Dividing 2 digits by one requires you to take it step by step.

Directions: Divide. a

b

c

d

)

2 64

)

4 68

)

3 27

)

8 40

)

2 10

)

)

9 63

)

8 96

)

4 72

)

3 81

)

5 85

)

4 92

)

6 72

)

4 52

)

7 91

)

7 84

)

6 72

)

8 56

)

9 81

)

7 35

3 15

)

3 21

)

3 87

)

5 60

)

2 24

1.

5 45

2.

5 40

3.

3 24

4.

9 54

5.

6.

2 74

7.

3 81

8.

3 36

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

e

)

6 48

)

)

2 10

4 12

)

6 36

)

5 75

)

5 90

)

4 48

)

3 39

)

2 26

) ) ) ) ) ) )

Date 75

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide 4 Digits by 1 Digit Great work! Keep it up with 4 digit divisors.

Directions: Divide. a

b

)

4 1104

)

7 2114

)

8 1720

)

3 1059

)

5 2245

)

8 1760

)

4 1256

)

3 8256

1.

2 1436

2.

4 3672

3.

4 9228

4.

5 6135

5.

6 1434

6.

7 7105

7.

3 1539

8.

5 3605

c

)

2 4632

)

3 6342

)

6 4764

)

7 5243

)

4 5216

)

2 6242

)

5 2565

)

4 4960

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

d

)

6 7206

)

)

5 1855

)

8 9952

)

1 7105

)

7 6328

)

6 1122

)

1 3976

)

3 6426

) )

)

) )

)

)

Date 76

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide with Remainders Not all quotients are whole numbers. Some have “leftovers” called remainders.

3 R1 9 28 27 1

)

Directions: Divide.Write the remainder next to the quotient. a

b

)

3 41

)

2 29

)

9 66

)

5 26

)

3 101

)

5 92

1.

4 53

2.

3 25

3.

8 55

4.

6 95

5.

2 39

6.

5 98

c

)

5 34

)

6 33

)

3 71

)

7 27

)

5 86

)

8 86

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

d

)

4 26

)

)

7 41

)

4 85

)

8 28

)

9 93

)

7 78

) ) ) ) )

Date 77

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide with Remainders You can now find quotients with remainders from larger numbers.

324 R 6 26 8430 78 63 52 110 104 6

)

Directions: Divide.Write the remainder next to the quotient if necessary. a

b

)

42 8956

)

54 1269

)

7 2117

1.

31 9875

2.

28 776

3.

35 1428

4.

3 6343

5.

3 379

c

42 6751

)

77 2613

63 9008

)

88 1100

)

3 1058

)

6 745

)

8 1924

5 1742

)

8 1719

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

)

)

)

d

) )

)

4 762

)

)

5 421

)

3 536

) )

Date 78

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Decimals Align decimal point of the quotient above that of the dividend.

0.262 2 0.524

)

0.4 0.12 0 .12 04 4 0 Directions: Divide. a

b

)

3 0.459

)

7 0.875

)

5 6.25

)

4 1.02

)

4 3.316

1.

8 0.640

2.

2 0.468

3.

9 2.898

4.

2 0.822

5.

7 39.2

c

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

)

4 0.328

6 1.518

)

8 1.152

)

6 1.938

)

5 0.655

) )

1 0.541

)

3 2.079

)

9 20.7

Name

d

) ) )

)

8 50.4

)

)

5 25.2

)

Date 79

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide 2 Digits by 2 Digits You might recall some of these by memory. Others may be new to you.

Directions: Divide. a

b

c

d

e

1.

32 84

)

16 74

)

12 96

)

14 98

)

16 84

2.

13 78

)

20 80

)

15 95

)

18 72

)

12 84

3.

12 63

)

13 80

)

10 20

)

40 80

)

14 56

4.

17 68

)

14 75

)

27 91

)

45 90

)

15 60

5.

13 94

)

15 90

)

23 69

)

17 85

)

10 60

6.

19 95

)

24 48

)

13 65

)

11 88

)

18 72

7.

13 78

)

31 93

)

14 98

)

12 84

)

13 78

8.

21 63

)

23 92

)

27 81

)

32 64

)

30 90

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

) ) ) ) ) ) )

)

Date 80

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide 4 Digits by 2 Digits You’ll soon be a division expert!.

Directions: Divide.Write any remainder next to the quotient. a

b

c

d

e

1.

27 3564

)

52 2724

)

34 4284

)

26 6318

)

75 9150

2.

27 1430

)

75 3900

)

35 1960

)

25 8550

)

48 1704

3.

20 6020

)

54 1458

)

25 2075

)

42 1890

)

23 3844

4.

32 5280

)

12 2606

)

14 2184

)

26 3175

)

25 7500

5.

23 1732

)

23 5543

)

42 5176

)

75 6375

)

15 6009

6.

25 3525

)

60 1860

)

16 2616

)

22 6754

)

30 1800

7.

60 1200

)

50 8500

)

51 6426

)

48 2400

)

22 1430

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

) ) ) )

)

) )

Date 81

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Decimals It’s an easy move to divide a decimal by a decimal.

)

2.5 305.5

=

122.2 25 3055.0 25 55 50 55 50 50

)

Directions: Divide. Show your work. a

b

c

d

1.

1031.36 ÷ 3.2

22.4 ÷ 5.6

54.12 ÷ 4.1

56.35 ÷ 2.3

2.

560 ÷ 6.4

114.7 ÷ 7.4

442.96 ÷ 9.8

314.64 ÷ 6.9

3.

758.28 ÷ 8.9

163.25 ÷ 2.5

419.24 ÷ 4.7

472.26 ÷ 10.2

4.

1213.38 ÷ 12.6

1642.5 ÷ 14.6

2484.36 ÷ 20.1

1109.25 ÷ 22.5

5.

3074.18 ÷ 32.6

3128.03 ÷ 74.3

4041.72 ÷ 43.6

7954.38 ÷ 82.6

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 82

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Check Multiplication and Division Learn how to check your own work!

8 6 48

)

➝

8 × 6 = 48

➝

4 ×6

4 6 24

)

➝

Directions: Divide.Then, write a multiplication sentence to check your work. a

c

b

1.

6 18

)

5 90

2.

7 35

)

3 24

3.

5 60

)

7 91

4.

4 52

)

2 74

)

)

3 81

)

6 72

)

2 26

)

9 54

) ) )

Directions: Multiply.Then, write a division sentence to check your work. a

b

c

d

5.

12 ×7

9 ×7

13 ×4

9 ×9

6.

13 × 3

90 × 5

12 × 3

5 ×6

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 83

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems Remember to look for clues that will help you solve these problems!

Directions: Solve. 1. Grandma has been sick, but with medicine, the doctor says she will get better. If she takes 5 pills, 3 times a day, how many pills does she take in one day?

2. If the ride at the amusement park has 5 cars, which hold 12 people each car, how many people can go on the ride at once?

3. Mr. Hubbard, the band director, wanted to buy kazoos for his band members. The school gave him $90 to buy the kazoos. If the kazoos were $5 each, how many kazoos could Mr. Hubbard buy?

4. Olivia is a good swimmer. She can swim 60 meters in one minute. How long will it take her to swim 180 meters?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 84

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems These problems will help you solve other practical real-life situations!

Directions: Solve. 1. Joshua needs to bake cookies for his school’s bake sale. He must cook 3 dozen chocolate chip cookies, 2 dozen chocolate chunk cookies, 2 dozen sugar cookies, and 3 dozen oatmeal cookies. How many cookies will Joshua cook in all?

2. Larissa and her friends string popcorn and cranberries to put on their holiday tree.They made 5 strings of popcorn and 5 strings of cranberries. Each string was four feet long. How long were the strings all together?

3. Ivan and his friends held a car wash Saturday to raise money for their school. They charged $4 per car. If they made $204, how many cars did they wash?

4. Keisha is making apple pies for the fall festival. Her recipe makes 11 pies, but she wants to make a total of 33 pies. How many times will she have to repeat her recipe in order to make the 33 total pies?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 85

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Multiplication and Division We’ve got to make you an expert at this. Let’s review.

Directions: Solve. a

)

b

c

)

1.

8 40

11 ×9

4 28

2.

9 ×8

7 ×7

9 72

3.

10 × 7

7 ×3

4.

4 44

5.

d

e

)

)

8 64

5 45

12 × 4

7 56

4 20

41 × 3

9 18

13 ×4

60 × 2

14 ×4

7 ×3

8 ×3

34 ×5

22 ×2

19 ×3

31 × 5

6.

50 × 3

25 × 5

11111

)

50 250

7.

13 260

16 ×5

18 216

)

24 192

)

)

) )

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

) )

)

52 × 6

)

)

8 248

Date 86

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Multiplication and Division Review some more, this time with larger numbers.

Directions: Solve. a

b

c

)

1.

451 × 4

5 445

2.

2281 × 7

12 1740

15 6975

3.

3122 × 14

1611 × 20

24 5136

4.

6462 × 30

3654 × 64

84 75, 516

5.

2568 × 42

4933 × 51

54 42, 390

6.

8913 × 454

12 8, 892

74 17, 390

7.

9254 × 253

81, 321 × 27

82 46, 248

332 × 6

)

)

)

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

)

9 504

1245 × 6

)

3113, 857

)

76 56, 392

)

21 9, 765

) )

Name

d

)

)

)

3451 × 163

)

29 6, 844

Date 87

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Fractions with Like Denominators To find the sum of fractions with like denominators, just add the numerators.

5 1 6 + = =1 6 6 6

Directions: Add. Simplify if necessary. a

b

c

d

1.

1 2 + 3 3

2 3 + 4 4

8 2 + 8 8

5 2 + 9 9

2.

1 5 + 6 6

2 2 + 7 7

3 1 + 5 5

2 3 + 6 6

3.

5 2 + 8 8

4 5 + 9 9

3 1 + 7 7

2 5 + 10 10

4.

3 3 + 7 7

1 4 + 9 9

7 1 + 8 8

7 9 + 10 10

5.

6 1 + 8 8

2 2 + 9 9

7 11 + 12 12

4 9 + 6 6

6.

3 3 + 5 5

3 9 + 10 10

8 5 + 9 9

11 23 + 13 13

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 88

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Fractions with Unlike Denominators Here’s how to find the sum of fractions with unlike denominators. 14( ×2) 28 = 15( ×2) 30 12( ×3) 36 + = 10( ×3) 30 64 32 2 = =2 30 15 15

1) Find a common denominator. 2) Multiply the numerator by the factor it takes to get the denominator common. 3) Add numerators and place the sum over the common denominator. 4) Simplify.

Directions: Add. Simplify if necessary. a

b

c

d

1.

7 10 2 + 5

2 5 1 + 2

1 2 1 + 5

2 3 4 + 5

2.

1 2 7 + 8

7 8 1 + 2

1 4 2 + 3

5 6 3 + 5

3.

3 4 1 + 3

5 6 1 + 3

5 6 1 + 2

2 5 1 + 3

4.

2 3 3 + 4

3 4 1 + 8

5 12 1 + 4

3 5 1 + 4

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 89

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Fractions with Like Denominators Now, practice subtracting fractions!

9 3 6 3 − = = 10 10 10 5

Directions: Subtract. Simplify if necessary. a

b

c

1.

5 4 − 9 9

7 3 − 10 10

7 1 − 8 8

5 2 − 7 7

2.

4 2 − 5 5

6 4 − 7 7

7 4 − 15 15

11 2 − 12 12

3.

9 7 − 10 10

8 2 − 9 9

7 3 − 8 8

5 1 − 6 6

4.

11 3 − 12 12

9 3 − 10 10

5 2 − 9 9

6 4 − 7 7

5.

2 1 − 3 3

5 1 − 4 4

7 5 − 5 5

9 6 − 3 3

6.

8 1 − 9 9

9 7 − 10 10

12 7 − 8 8

9 4 − 7 7

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

d

Date 90

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Fractions with Unlike Denominators To subtract fractions with unlike denominators, start by finding a common denominator! 7 ( ×2) 14 = 5 ( ×2) 10 3 3 − = 10 10 11 1 =1 10 10

Directions: Subtract. Simplify if necessary. a

b

c

d

e

1.

8 9 1 − 3

5 6 7 − 12

5 6 2 − 5

9 10 1 − 2

7 12 1 − 4

2.

7 8 1 − 4

2 3 1 − 2

2 3 4 − 9

7 8 1 − 3

5 6 3 − 7

9 10 2 − 5

5 6 2 − 3

4 5 3 − 10

11 12 1 − 6

2 3 1 − 4

7 10 1 − 5

3 4 1 − 5

2 3 1 − 6

3 5 1 − 3

5 6 1 − 3

3.

4.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 91

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Multiplying Fractions When you multiply two fractions, you are finding “a fraction of a fraction.”

4 out of 5 parts are shaded

1 4 of = 3 5

4 5

1 4 4 × = 3 5 15

Directions: Use the pictures to complete. a

b

1.

1 3 of 3 7

3 7

1 1 of 3 2

1 2

1 3 × = 3 7

1 1 × = 3 2

2.

1 3 of 2 5

3 5

1 5 1 1 × = 2 5

1 3 × = 2 5

1 1 of 2 5

3. € 1 5 of 3 8

5 8

€

1 5 × = 3 8

2 5 × = 3 6

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

2 5 of 3 6

5 6

Date 92

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Fractions Multiplying fractions is as easy as multiplying whole numbers.

7 × 3 21 = 8 × 4 32

Remember! Any whole number 14 14 = can be written as a fraction. 1

Directions: Multiply. Simplify if necessary. a

b

c

d

1.

3 4 × 7 5

4 3 × 7 8

3 1 × 5 3

3 7 × 10 9

2.

3 1 × 5 2

5 1 × 7 4

6 2 × 7 3

2 5 × 3 7

3.

5 6 × 9 10

3 2 × 5 5

1 7 × 4 8

9 5 × 10 6

4.

3 1 × 7 4

5 1 × 9 2

2 1 × 5 3

7 11 × 8 12

5.

7 2 × 8 5

1 7 × 4 8

4 5 × 7 6

5 15 × 12 25

6.

6 1 × 7 3

7 1 × 8 6

3 5 × 4 12

9 5 × 15 12

7.

3 1 × 4 5

2 3 × 5 7

3 2 × 8 9

8 3 × 9 8

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 93

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Mixed Numbers To multiply mixed numbers, simply write them as a fraction.

3 1 1 ×1 = = 5 6

8 7 42 × = 5 6 30

=

7 5

Directions: Multiply. Simplify if necessary. a

b

c

d

1.

3 3 1 ×1 8 7

3 3 1 ×3 5 4

3 1 1 ×1 5 6

1 1 1 ×3 6 2

2.

1 1 2 ×3 4 3

4 3 1 ×1 5 4

2 1 2 ×4 3 5

1 1 1 ×2 2 4

3.

2 1 3 ×8 7 4

1 1 1 ×3 8 3

1 1 2 ×2 2 3

1 1 2 ×1 4 5

4.

2 6 2 ×2 5 7

2 4 4 ×1 3 5

1 1 3 ×2 8 5

1 5 4 ×5 3 6

5.

1 1 5 ×2 5 4

4× 2

6.

1 1 7 ×2 2 4

1 1 9 ×6 5 3

1 1 2 ×2 3 7

2 1 3 ×2 5 4

7.

1 2 3 ×2 5 8

1 5 7 ×6 8 6

2 3 8 ×3 5 7

1 2 4 ×5 2 3

1 2

3× 3

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

1 3

1 5 ×6 4

Date 94

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Dividing Fractions Once you know how to multiply fractions, dividing is a snap! Just flip the divisor and multiply. 3 5 3 9 27 ÷ = × = 8 9 8 5 40 Directions: Write the reciprocal of each number. a

b

c

d

1.

8

2 4

5 6

1 9

2.

1 2

14

7 8

12

3.

3 4

1 4

1 24

3 5

Directions: Write the multiplication sentence that will solve each division problem. a

b

c

4.

5 1 ÷ 6 2

1 ÷5 3

3 1 ÷ 8 4

5.

3 1 ÷ 10 5

1 1 ÷ 4 3

2 1 ÷ 3 5

6.

1 1 ÷ 3 2

4 1 ÷ 5 4

1 2 ÷ 3 3

7.

3 4 ÷ 4 3

9 6 ÷ 10 1

3 5 ÷ 7 9

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 95

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Fractions You can do this! Let’s practice dividing fractions.

Directions: Divide. Simplify if necessary. a

b

c

d

1.

3 6 ÷ 4 7

1 1 ÷ 9 6

1 1 ÷ 10 12

1 1 ÷ 6 4

2.

1 5 ÷ 6 8

3 1 ÷ 4 6

3 3 ÷ 7 8

5 3 ÷ 8 4

5 3 ÷ 6 10

1 5 ÷ 4 6

3 5 ÷ 10 12

3.

6÷

1 2

4.

2 2 ÷ 3 5

1 3 ÷ 4 5

2 1 ÷ 5 7

5 7 ÷ 8 8

5.

5 1 ÷ 6 3

3 4 ÷ 10 9

12 4 ÷ 1 5

2 2 ÷ 7 3

6.

4 2 ÷ 5 3

6÷

3 4

2 ÷5 5

3 7 ÷ 5 8

7.

8 5 ÷ 9 9

2 4 ÷ 5 5

1 1 ÷ 6 6

9 7 ÷ 10 8

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 96

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Mixed Numbers You already know all the steps to dividing with mixed numbers.

1 15 15 15 2 2 7 1 ÷7 = ÷ = × = 8 2 8 2 8 15 8 2( ÷2) 1 = 8( ÷2) 4 Directions: Divide. Simplify if necessary. a

b

c

d

1.

1 1 6 ÷2 4 3

1 1 3 ÷5 3 2

1 1 3 ÷1 4 4

3 1 1 ÷2 5 2

2.

1 1 7 ÷2 2 4

1 1 4 ÷2 3 2

3 1 1 ÷5 4 2

1 4 2 ÷4 6 5

2

5 2 ÷1 12 3

1 3 5 ÷4 3 8

1 1 5 ÷3 4 3

6

4.

7 1 7 ÷8 8 4

4 5 6 ÷3 5 6

2 3 4 ÷3 3 4

1 3 2 ÷2 3 4

5.

5 5 1 ÷2 7 7

5÷ 2

4 1 ÷1 3 2

2 1 7 ÷ 5 4

6.

1 3 4 ÷2 5 5

3 7 4 ÷6 5 5

2 7 ÷ 12 5

7 1 1 ÷4 8 6

3.

2 3

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

3 1 ÷1 10 3

Date 97

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems You can solve these in a fraction of the time you would have taken before you learned about fractions! Directions: Solve. 1. Jose made a birthday cake for Madison. He used half a cup of sugar for every 3 and a half cups of flour. If he used 28 cups of flour, how many cups of sugar did he use?

2. Ming’s father has a cattle farm with a herd of 100 cows. It takes a third of an acre of pastureland to feed each cow. How many acres does it take to feed their entire herd?

3. It takes Angel 97 seconds to skate around the ice rink.The ice rink is a half mile around. How long does it take Angel to skate 2 miles?

4. Maria has a cookie recipe which makes 20 cookies and uses two-thirds cup of milk. If Maria only wants to make five cookies, how much milk will she need?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 98

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems Go on, read some more fraction stories! Directions: Solve. 1. Ling wants to become a better pitcher. She spends 10 hours a week practicing pitching, 7 hours a week running, and 3 hours per week weight training.What fraction of her time is spent on pitching practice?

2. Fourteen people, or about a third of the maximum number of people allowed, have already signed up for the golf tournament. How many more people can still sign up?

3. Brandon and Manuel leave Manhattan on a fifteen-minute ferry toward Liberty Island at 2:38 P.M. to visit the Statue of Liberty.They will spend oneand-one-fourth hours on the island.What time will they return to Manhattan?

4. At the Harry Potter convention, one-fourth of the people are students, one-fourth are teachers, and one-sixth are authors of other books for children and teens. The rest of the people are employees of the convention center. If there are 348 people at the convention, how many are employees of the center?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 99

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Fractions Let’s review what we’ve learned about fractions. Directions: Add, subtract, multiply, or divide. Simplify if necessary. a

b

c

d

1.

5 1 − 6 6

3 7 + 8 8

1 1 − 2 9

7 2 − 10 5

2.

5 1 + 8 8

5 1 + 8 6

4 1 − 9 9

5 3 − 6 4

3.

1 1 × 3 3

2 1 × 9 2

6 3 ÷ 7 4

3 ÷8 8

4.

5 3 + 6 5

2 4 + 5 5

4 1 × 5 2

3 4 ÷ 8 5

5.

2 3 + 3 4

9 4 − 10 10

7 1 − 12 4

5 1 ÷ 6 4

6.

3 3 − 4 5

7 1 + 8 3

2 1 × 3 4

3 1 + 4 3

7.

15 7 − 16 16

5 3 × 2 16

7 1 ÷ 8 3

2 4 + 9 9

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 100

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Fractions Keep practicing! Directions: Add, subtract, multiply, or divide. Simplify if necessary. a

b

c

d

1.

7 7 + 8 10

3 2 + 4 3

5 3 − 12 12

7 1 + 12 4

2.

5 2 − 8 8

7 7 + 12 8

11 2 + 12 8

1 1 + 9 2

3.

3 4 × 8 5

8×

5 3 ÷ 8 5

1 5 ÷ 8 6

4.

1 3 8 ×2 3 4

1 7 9 ÷2 4 8

4÷

5.

1 1 − 3 6

3 7 2 ×1 5 10

2 1 4 ÷3 3 3

3×

6.

2 1 + 3 4

7 2 − 8 5

1 1 + 8 2

1 1 4 ×6 6 4

7.

4 3 2 ×1 5 10

1 1 9 ×3 2 3

7 4 − 8 8

6÷

3 4

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

1 3

4 1 4 ×2 5 10

1 2

4 5

Date 101

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 102

Write Equations An equation is a number sentence with two equal sides.

The product of a number and 6 is 24: n x 6 = 24

Directions: Write the equations. Use n to stand for the missing number. a

b

1. Thirteen more than a number is 25:

The difference between 16 and a number is 10:

2. A number times 7 is 21:

48 divided by a number is 8:

3. 2 less than a number is 14:

4 less than twice a number is 8:

4. The product of 4 and a number is 32:

The sum of 64 and a number is 82:

5. 7 less than 14 + 4 is a number:

19 subtracted from a number is 20:

6. 9 more than a number divided

The sum of 15 and a number is the

by 2 is 15:

same as the product of 5 and 5:

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 102

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 103

Use Order of Operations There’s a proper order to solving equations.

1. Parentheses 2. Multiply, then divide from left to right 3. Add or subtract from left to right

4 + 4 ¥ (3 + 1) - 2 123 4 + 4{ ¥ 4- 2 412 +3 16 - 2 20 -32 12 18

Directions: Solve using order of operations. a

b

1. 7 - 3 ∏ 9

4 ¥ (9 ∏ 3) + 8

2. 4 ¥ 6 ∏ 2

28 + 21 ∏ 3 ¥ 8

3. 75 - 50 - 25

6¥ 8+ 4∏ 2

4. 81∏ 9 + 2 ¥ 3

7 + 35 ∏ 5 + 4

5. 8 + (4 - 2)

(9 ¥ 4 ) + 2 - 1

6. (9 - 1) + 7 ¥ 6

16 - (4 ¥ 4) + 8

7. 2 + (45 - 15) ∏ 5

90 + 5(6 ∏ 3)

8. 32 ∏ ( 4 ¥1) + 6

42 ∏ 6 + (9 ¥ 12)

9. 12 ∏ 6 + 10

19 - 4 + 45 ∏ 9

10. 40 - 13 + (6 ¥ 2)

61- 9(4 + 2)

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 103

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 104

Solve Equations with Parentheses To solve equations, work to get the unknown value on one side alone. Solve for n: (n+3) x 2 = 8 Divide both sides of the equations by 2: (n + 3) x 2 ÷ 2 = 8 ÷ 2 n+3=4 Subtract 3 from each side:

n+3–3=4–3 n=1

Directions: Solve for n. a

b

1.

(4 + 6)n = 30

9(6 + n) = 135

2.

Ê 9ˆ Á ˜ +1= 4 Ë n¯

Ê12ˆ Á ˜ + 4 = 10 Ën¯

3.

7 - (3 + n ) = 1

(n - 2 ) ¥ 3 = 30 4

4.

50 - 32 = n + 8

(4 - n ) ¥ (16 - 7) = 9 2

5.

Ê nˆ Á ˜ ¥ 19 = 114 Ë 2¯

(n + 136)(66 ¥ 4) = 36, 960

6.

80 + (n ¥ 6) = 164

Ê120ˆ Á ˜ (9 ∏ 3) = 90 Ë n ¯

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 104

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 105

Complete Function Charts Now you can complete equations with missing values.

y = 2x x y 0 0 1 1 3

When x is 0, y must be ___

When x is 1, y is

y = 2x y = 2 (0) y=0

y = 2x y = 2 (0) y=0

Directions: Complete the function charts by solving for y in each equation. a

b

c

1.

y = 2x + 3 x y 0 1 2 4 6

y = 2x + 5 x y 1 2 3 4 5

y = 4x – 3 x y 0 3 5 10 15

2.

y = 2x – 1 x y 0 1 3 4 5

y=x–3 x y 0 4 5 6 8

y = 10x + 2 x y 2 4 6 10 12

3.

y = 2x – 3 x y 0 3 5 6 7

y = 3x + 5 x y 0 1 5 7 10

y = 0.5x + 2 x y 1 2 4 6 8

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 105

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 106

Graph Functions Recall what you know about line graphs. Fill in the values and plot the points!

y = 2x + 1 x y 0 1 2 3

When x = 0 y = 2(0) + 1 y=1

When x = 2 y = 2(2) + 1 y=5

When x = 1 y = 2(1) + 1 y=3

When x = 3 y = 2(3) + 1 y=7

Directions: Complete the table for each equation. Graph any 3 ordered pairs. a

b

1.

y = 0.5x + 1 x y 0 2 4 6 8

y = 2x + 4 x y 0 1 2 3 4

2.

y = 4x – 4 x y 0 1 2 3 4

y = 3x + 1 x y 0 1 2 3 4

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 106

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 107

Review Equations Time to show off your skills! Directions: Write equations, using n to represent the missing number. a

b

1. 12 less than a number is 16:

100 subtracted from a number is 36:

2. The product of a number and 12 is 48:

The sum of 61 and a number is 121:

3. 6 less than twice a number is 18:

7 less than a number divided by 3 is 0:

Directions: Solve. Remember to use the proper order of operations. a

4.

16(3 ¥ 2)

5.

4+

6.

(64 +14 -19) ¥ 3

b

43 +

18 6

16 4

(22 + 3 - 1) 12 137 ¥ 2 + 17

Directions: Solve for n. a

b

7.

(21+ n ) =1 2

66n - 4 = 260

8.

(n - 82) + 7 = 15

27 + 19 = 28 n

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 107

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 108

Solve Word Problems Now you can use an equation to solve a word problem.

Directions: Write an equation for each problem using n to represent the missing number.Then figure out the value of n. 1. The temperature in Cancun, Mexico is 4 times higher than the temperature in Portland, Maine. If it’s 84 degrees Fahrenheit in Cancun, what is the temperature in Portland?

2. Filipe has driven 573 miles, but he still has a number of miles to go. If the total distance to his destination is 2,346 miles, how many miles does he have to go?

3. The 9 students in Miss Jacob’s reading group decided to buy her a gift at the end of the year. If each student contributed $15, how much did the gift cost?

4. Sandra picked a big bunch of dandelions for her mom and dad. She gave 18 to her mom and 14 to her dad. How many dandelions did she pick in all?

5. The elephant weighs 5 times as much as her baby. If the mother elephant weighs 4,125 kilograms, how much does her baby weigh?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 108

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 109

Understand Angles Angles are measured in degrees. Directions: Use a protractor to measure each angle. a

b

c

1.

2.

3.

4.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 109

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 110

Identify Types of Angles There are four basic types of angles.

right

obtuse

acute

straight

Directions: Name the type of angle. a

b

c

1.

2.

3.

4.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 110

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 111

Convert Customary Lengths Measure lengths in different ways!

1 ft = 12 in 1 yd = 36 in

1 yd = 3 ft

1 mi = 5,280 ft 1 mi = 1,760 yd

90 in = ? yd 90 in = 90 ÷ 36 90 in = 2.5 yd

3 mi = ? ft 3 mi = 5,280 x 3 3 mi = 15,840 ft

2.5 yd

)

36 90.0 72 18 0 18 0

Directions: Convert the lengths. 1. How many feet are in 9 yards? 2. How many inches are in 10 feet? 3. How many yards are in 3 miles? 4. How many inches are in 12 1/2 yards? 5. How many feet are in 7 miles? a

b

6. 8 yd =

ft

60 in =

7. 12 in =

ft

342 mi =

8. 21 ft =

yd

1/2 mile =

9. 8,800 yd =

mi

1/2 ft =

10. 15,840 ft =

mi

640 yd =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

ft ft yd in in

Date 111

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 112

Convert Metric Lengths Learn to convert lengths using the metric system, too.

1cm = 10mm 1m = 100cm

1m = 1,000mm 1km = 1,000m

30cm = 10 ¥ 30 = 300mm 4, 000m = 4, 000 ∏1, 000 = 4km

Directions: Convert. a

b

1. 40 cm =

mm

26m =

2. 276 m =

mm

96 km =

3. 210 m =

cm

370 cm =

m

9,422 m =

km

4. 6,256 mm =

m

5. 2,000 cm =

mm

10 m =

cm m

km

6. How many mm in 36 cm? 7. How many cm in 6.6 m? 8. How many m in 20 km? 9. How many mm in 3m? 10. How many cm in 42 m?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 112

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 113

Understand Perimeter The perimeter is the distance around a figure. 5 5

perimeter is 5 + 5 + 5 + 5 = 20

5 5

Directions: Write the perimeter equation for each shape or sentence. a

b

c

1.

P=

P= 2.

P=

All six sides of a polygon are of equal length (3 yd)

A triangle has sides of the following lengths: 6 cm, 9 cm, 14 cm

P=

P=

P=

Directions: Draw the shape with the following perimeters. a

3.

A square with a perimeter of 16

b

A parallelogram with a perimeter of 30

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

c

A triangle with sides of the following lengths: 1.5 m, 2 m, 5 m

Date 113

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 114

Find Perimeters To find the perimeter, add the lengths of all the sides.

20 +18 +16 = 54ft.

Directions: Find the perimeter. a

b

c

1.

2.

3.

4.

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Date 114

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Grade 5 Unit 5

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Find Areas of Parallelograms The area is the number of square units needed to cover a figure.

A = base x height A = 10 x 3 = 30 sq ft

Directions: Find the area. a

b

c 20

1. 15

A=

12

A=

A=

2. 12

A=

A=

A=

Directions: Write the area formula for each figure. Complete the problem.Write the answer in the appropriate units. 3. Parallelogram has a 20 inch base and is 12 inches high.

A= =

x

= 4. Parallelogram is 8 meters high with a 14 meter base.

A= =

x

= Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 115

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Find Areas of Triangles The area of a triangle is found by multiplying 1/2 x base x height

Area =

1 ¥ 8 ¥ 6 = 24 2

Directions: Find the area. a

b

c

1.

A=

A=

A=

2.

A=

A=

A=

Directions: Write the area formula for each figure. Complete the problem.Write the answer in the appropriate units. 3. Triangle is 8 ft in height with a base of 12 feet.

A= =

x

= 4. Triangle is 10 inches in height with a 6 inch base.

A= =

x

= Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 116

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Grade 5 Unit 5

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Understand Surface Area Surface area is the sum of the areas of all faces on a solid unit.

Area of: front = 5 ¥ 4 = 20 back = 5 ¥ 4 = 20 side 1 = 3 ¥ 4 = 12 side 2 = 3 ¥ 4 = 12 top = 5 ¥ 3 = 15 bottom = 5 ¥ 3 = 15 Total surface area of all faces = 94 square inches Directions: Write the equation for the surface area of each figure. a

1.

b

front = back = side 1 = side 2 = top = bottom =

front = back = side 1 = side 2 = top = bottom =

Directions: Draw and label a sketch of each figure. a

b

10 ¥ 2 10 ¥ 2 4¥ 2 10 ¥ 4 10 ¥ 4

2.

front = back = sides = top = bottom =

3.

length = 10 yds height = 20 yds width = 8 yds

front = back = sides = top = bottom =

length = 9 cm height = 90 mm width = 9 cm

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

10 ¥ 5 10 ¥ 5 4¥ 5 10 ¥ 4 10 ¥ 4

Date 117

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Grade 5 Unit 5

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Find Surface Areas Remember to account for all faces when finding the surface area.

Directions: Find the surface area. a

b

c

1.

4 in

10 in

6 in

SA =

SA =

SA =

2.

15 ft

20 in 10 ft 5 in 24 in

SA =

SA =

SA =

3. 4 cm

6 cm

SA =

SA =

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

SA =

Date 118

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Grade 5 Unit 5

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Understand Volume Volume is the total number of cubes needed to fill a space. It is measured by length x width x height.

length x width x height = 10 ¥ 4 ¥ 3 =

Directions: Write the equation for the surface area of each figure. a

b

c

1.

V=

x

x

V=

x

x

V=

x

x

Directions: Draw and label a sketch of each rectangular prism. a

b

2.

length: 15 m height: 5 m width: 2 m

height: 4 ft length: 6 in width: 3 ft

3.

width: 1 m height: 6 cm length: 8 cm

1 feet long 6 inches wide 4 inches high

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 119

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Grade 5 Unit 5

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10:27 AM

Page 120

Find Volumes Use what you know to find volumes of each figure.

Directions: Find the volume a

b

c

1.

2.

Directions: Count the cubes in each prism to find the volume. 3.

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 120

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Solve Word Problems Let’s see how well you can solve geometry word problems. Directions: Solve. 1. Ricardo has a garden which last year was in the shape of a rectangle measuring 49 meters long by 21 meters wide. This year, he increased the area of the garden by 546 square meters. He did not increase the width, but did increase the length. What is the length of the garden this summer?

2. Holly wants to store boxes in her basement. The dimensions of the basement are 12 feet by 7 feet by 7 feet. If the boxes are each 1 foot by 1 foot by 2 feet, what is the maximum number of boxes Holly can fit in her basement?

3. When it is 1 o’clock, what type of angle is the smallest angle formed by the minute and hour hands?

4. What is the perimeter of an octagon if all sides are 4 yards?

5. The area of a square is 49 square feet. If one side of the square measures 7 feet, what is the perimeter of the square?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 121

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Grade 5 Unit 5

7/20/06

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Solve Word Problems Looking good! Directions: Solve. 1. Find the perimeter of a quadrilateral if each side is 16 inches.

2. When it is 9 o’clock, what type of angle is the smallest angle formed by the minute and the hour hands?

3. Find the area of a triangle with a base of 16 in and a height of 4 in.

4. When it is 4 o’clock, what type of angle is the smallest angle formed by the minute and the hour hands?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 122

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 123

Review Geometry Time for a review. Directions: Convert. a

b

1. 40 cm =

mm

2. 70 mm =

m

3. 86,010 m =

6 ft =

mm

in

3 miles =

yd

17 feet =

yd

Directions: Name the angle. a

b

c

4.

5.

Directions: Find the perimeter. a

b

6.

19 cm 6 in

16 cm

12 in 14 cm

P=

P= Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 123

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 Unit 5

7/20/06

10:27 AM

Page 124

Review Geometry You’re almost there!

Directions: Find the missing values for a rectangular prism. a

b

1. length

c

length 7.42 cm

length 11 m

width 14 in

width 5.72 cm

width 10 m

height 11 in

height 4.75 cm

height

surface area

surface area

surface area

volume 2029.72 in3

volume

volume 220 m3

Directions: Find the area of each parallelogram or triangle. a

b

c 12 m

2.

6m 10 m

A=

A=

A=

Directions: Find the volume of each solid. a

b

c

3.

V=

V=

V=

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 124

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Averages An average of a set of numbers is found by adding the numbers and then dividing by how many numbers there are. Set of numbers: 16, 12, 13, 10, 11 Sum: 16 + 12 + 13 + 10 + 11 = 62 Average: 62 ÷ 5 = 12.4 Directions: Find the sum of the values listed.What number would you use to divide into the sum to find the average? 1. 42, 34, 61, 23, 53

SUM:

DIVISOR:

2. 2, 12, 16, 4, 8

SUM:

DIVISOR:

3. 21, 25, 22, 36

SUM:

DIVISOR:

4. 19, 19, 19, 19, 18

SUM:

DIVISOR:

Directions: Solve. 5. Mark hit 6 balls the first game, 2 balls the second game, and 10 balls the third game. What was his average number of hits?

6. The high temperatures this week were as follows: 74, 82, 93, 72, 81, 71, and 80. What was the average temperature for the week?

7. Betsy spends 2 hours per week doing homework. Carmen spends 10 hours per week doing homework. Tom spends 6 hours per week doing homework. What is the average amount of time among these 3 students spent doing homework?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 125

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Averages Now, you try!

Directions: Find the average for each set of numbers. 1. 12, 20, 36, 55 2. 6, 3, 8, 120, 273, 1 3. 1,722; 5,787; 702 4. 8, 2, 5 5. 16, 14 6. 0.250, 0.75, 0.125, 0.375 Directions: Solve. 7. If a baseball player comes to bat 1000 times and gets 350 hits, what is the player’s average?

8. Tom has 120 red balls, Pam has 130 yellow balls, and Aasia has 50 green balls. What is the average number of balls each person has?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 126

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Probability Probability is the ratio of favorable outcomes to all possible outcomes. The probability of spinning 2 is 1:6. P(2) = 1:6 The probability of spinning a number that is less than 3 is 2:6, or 1:3. P(n<3) = 1:3 The probability of spinning a number that is less than 7 is 6:6, or 1. P(<7) = 1 The probability of spinning a 7 is 0:6, or 0. P(7) = 0

Directions: Find the probabilities. Express them in the simplest form. 1. P(A) 2. P(D) 3. P(not A) 4. P(not C) 5. P(letters A or B) Directions: Write an event for the numbered cards in the hat. 6. P(

) is 1:4

7. P(

) is 1

8. P(

) is 0

9. P(

) is 1:2

13

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Date 127

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Probability Keep practicing! You’re doing great!

Directions: Find the probabilities. Express them in the simplest form.

1. P(green) P(purple or red) P(blue)

2. P(hexagon) P(circle) P(not a rectangle)

3. P(diamond) P(not a heart) P(club or spade) P(not a diamond)

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Date 128

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Understand Odds Odds in favor of something happening are expressed as a ratio between favorable and unfavorable events. Odds against something happening are expressed as a ratio between unfavorable and favorable events. Directions: Think about a deck of playing cards to write these odds. 1. There are 26 red cards and 26 black cards in a deck.What are the odds of drawing a red card? 2. What are the odds against drawing a red card? 3. There are 4 queens in a deck. What are the odds of drawing a queen? 4. There are 13 cards of each suit in the deck.What are the odds of drawing a spade? 5. What are the odds against drawing a 10?

Directions: Solve. 6. The odds against rain today are 25%.What are the odds for rain? 7. The odds of choosing a piece of red jewelry in the pile are 16/30. How many pieces of red jewelry are there? 8. The odds against winning the raffle are 10:1. What are the odds in favor of winning? 9. 2 out of every 10 people make a hole in one at the golf course. What are the odds against making a hole in one?

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Date 129

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Odds Figure these odds.

Odds against an event:

Odds in favor of an event: favorable outcomes unfavorable outcomes

unfavorable outcomes favorable outcomes

Directions: Determine the odds for each event. 1. What are the odds of spinning a 6? 2. What are the odds of spinning an odd number? 3. What are the odds of spinning a multiple of 2? 4. What are the odds of spinning a multiple of 3? 5. What are the odds against spinning a 5? 6. What are the odds against spinning an even number? 7. What are the odds against spinning a 7 or a 6? 8. What are the odds of spinning a number less than 5? Directions: Give the odds for each situation. Express odds as the simplest ratio. 9. There is an 80% chance of rain in the forecast. What are the odds against rain? 10. For every 10 attempts at making a basket,Todd makes 8. What are the odds that Todd makes a basket? 11. 4 out of every 100 people win the lottery. What are the odds against winning? Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 130

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Mean, Median, and Mode There are three ways of expressing an average of a group of numbers.

7, 3, 5, 9, 5 The mean is the arithmetic average: 7+3+5+9+5 = 29 29÷5 = 5.8 The median middle number when numbers are sorted in numerical order: 3, 5, 5, 7, 9. Median = 5 The mode is the number occurring the most frequently. Mode = 5 Directions: List whether the number is the mean, median, or mode. [Hint: Sometimes, a number can be more than one of these!] 1.

2, 3, 12, 24, 19: 12 is the

2.

16, 14, 16, 15, 9: 16 is the

3.

5, 6, 6, 4, 4: 5 is the

4.

12, 14, 17, 17, 15: 15 is the

5.

15, 20, 25, 25, 40: 25 is the

6.

13, 16, 13, 19, 20: 13 is the

7.

80, 75, 90, 80, 55, 70, 95: 80 is the

8.

45, 39, 200, 45, 42, 20, 33: 45 is the

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Date 131

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Find Mean, Median, and Mode Here’s your chance to show what you know about these measures of “central tendency.” Directions: Find the mean of each set of numbers. a

b

1.

13, 11, 12, 10, 7

10, 9, 8, 11, 7

2.

8, 13, 13, 6, 5

30,34, 23

3.

44, 51, 37

19, 23, 48, 50

Directions: Find the median of each set of numbers. a

b

4.

5, 15, 25, 45, 90

16, 18, 23, 25, 29

5.

26, 28, 29, 31, 42, 37, 71

2, 6, 7, 9, 12

6.

12, 13, 9, 6, 4

105, 199, 149, 289, 469

Directions: Find the mode of each set of numbers. 7.

14, 7, 27, 14, 13, 4, 7, 12, 14

8.

8, 22, 33, 8, 22, 16, 32, 22, 78

9.

74, 36, 6, 12, 36, 14, 74, 4, 36

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 132

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems These word problems discuss probabilities!

Directions: Solve. 1. Ashley is playing a game where there is a coin hidden under one of 3 cups and she has to try to guess which cup it is under.What is the probability she will guess correctly on the first try?

2. Vanessa thinks of a whole number between 1 and 24. She asks her aunt to guess what number she is thinking of.What is the probability that Vanessa’s aunt will correctly guess what number she is thinking of?

3. Tani rolls a die 155 times and gets these results: A “1” twenty-eight times, a “2” twenty times, a “3” fifteen times, a “4” thirty-one times, a “5” thirty-two times, and a “6” twenty-nine times.What is the probability she will get a “6” on the next roll?

4. Damita bought candy at the store.There are 5 blue pieces, 2 red ones, 3 purple ones, 11 green ones, and five orange ones.What is the probability that the first piece of candy she pulls out of the bag will not be green?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 133

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Solve Word Problems You’re on a roll!

Directions: Solve. 1. What is the probability of randomly pulling a red card from a standard deck of 52 playing cards?

2. Anthony rolls a die with different colors on each of its fourteen sides.What is the probability that he will roll either a red or yellow on his first roll?

3. Ethan has taken 32 math quizzes this year. Of those, he scored 90% on 5 of them and 80% or above on 10 of them.What is the probability that he will score between 80% and 90% on his next quiz?

4. Caleb saw a snake in his backyard on 10 different days during the last 30. What is the probability Caleb will find a snake in his backyard on any particular day?

Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

Date 134

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Mean, Median, and Mode Let’s do some review.

Directions: Find the average of each set of numbers. a

1.

5, 8, 2, 1

b

c

16, 2, 25, 7

14, 30, 12, 19

Directions: Find the mean, median, and mode for each set of numbers. 2. 12, 13, 7, 10, 9, 12, 11 Mean

Median

3. 40, 42, 78, 60, 73, 66, 40 Mean

Mode

Median

4. 162, 115, 103, 121, 188, 128, 121 Mean 5. 26, 32, 84, 55, 20, 32, 52 Mean

Mode Median

Median

Mode Mode

Directions: Solve. 6. Jordan, Sydney, and Mia played a game of ping pong.Their scores were 20, 16, and 18.What is the mean.What is the median?

7. Jessica, Devin, and Yanmei played a game, too.Their scores were 15,12, and 15.What is the median? What is the mode?

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Date 135

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Review Probability You’re getting the hang of it!

Directions: Find the probability. A jar contains 19 black, 22 pink, 21 purple, 17 navy, 20 green, and 15 orange marbles. 1. What is the probability of drawing a black marble? 2. What is the probability of drawing a marble that is NOT navy? 3. What is the probability of drawing a marble that is orange or navy? 4. What is the probability of drawing a marble that is NOT pink? 5. What is the probability of drawing a marble that is white? Directions: Find the odds. 6. What are the odds of drawing a black marble? 7. What are the odds of drawing a marble that is NOT navy? 8. What are the odds of drawing a marble that is orange or pink? 9. What are the odds against drawing a purple marble? 10. What are the odds against drawing a pink or purple marble?

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Date 136

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7/20/06

10:14 AM

Page 137

Scope and Sequence

Students

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

137

num ber sen se add pp. itio 6na 34 n ds mu ubt ltip r act lica ion tio na op pp. era nd 35 tio d -5 i v ns isio 8 wit equ n p h p. 5 atio fra 9ctio ns 87 pp. ns geo pp. 102 me 8 -1 8try 08 101 and dat me aa asu nal rem ysi sa ent nd pro pp. bab 109 ility -1 24 pp. 125 -1 36

Grade 5 BM

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Page 138

Answer Key PAGE

6

1. 5,274,510,935 2. 5,000,000,000+200,000,000+ 70,000,000+4,000,000+500,000+ 10,000+900+30+5 3. 5 billion, 274 million, 510 thousand, 935 4. 400,024 9,062 5. 61,400 84,054,000 6. 64,215 403,942 7. 451,000 200,670,000 8. 962,232,000 56,000 PAGE

1. 2. 3. 4. 5.

PAGE

1. 2. 3. 4. 5.

13 11 39 48 44

PAGE

1. 2. 3. 4. 5.

7

+10 -14 +7 -12 +233

4 40 36 16 -8

PAGE

-5 +12 -1 -9 +9,800

6. 7. 8. 9. 10.

+$20 +5,000 -5 -15 -104

-$1,754 -47 +256 -63 0

8

PAGE

11 3 3 -1 0

-4 -11 -20 -13 -4

6. 7. 8. 9.

-10 57 3 -4

39 68 -1 -5

-32 -10 -7 -7

6. 7. 8. 9. 10.

2 27 48 4 73

-21 -71 -120 5 -6

1 -4 -15 20

9 -3 123 -16 47 -11

2 -33 18 -68 5

-20 -42 -118 16 6

10

11

1. four fifths 2. three fourths 3. seven tenths 4. two thirds 5. 1 1/2 6. 1 3/4 PAGE

12

1. 2 2. 2 3. 3

6 20 14

PAGE

13

20 30 24

5/9 1/5 4/7 5/5 2 3 2/5

one eighth eleven fourths nine thirds eight fifths 2 1/6 2

4. 9 20 27 5. 3/10 7/10 6. 3/4 4/5

1. five tenths, 0.5 eight fifths, 1.6 2. seven tenths, 0.7 one half, 0.5 3. forty-two hundredths, 0.42 three fourths, 0.75 Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

14

1. 2. 3. 4. 5. 6. 7. 8. 9.

> < < > < > > > < < 215; 248; 322; 341 2,612; 6,241; 6,738; 6,741 712,411; 721,116; 732,118; 763,818 1,341,716; 1,432,564; 1,477,405; 2,642,149 10. 56,411; 56,416; 65,114; 65,141 PAGE

11 21 73 -21 51

1. 0.5 6.6 2. 0.92 52.9 3. 7.2 4.32 4. 300.4 200.3 5. 0.621 0.053 6. five tenths fifty-two and nine tenths 7. forty-six hundredths fifty-three and eight tenths 8. tenths ones 9. hundredths hundreds 10. thousandths thousandths 11. ones tenths 12. tens thousands PAGE

4. seventeen thousandths, 0.017 three halves, 1.5 5. 3/10 3/4 2 2/5 6. 1/2 43/100 1 1/5 7. 4/5 1/2 4 3/10 8. 6/25 3/8 7 3/5

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.

1. 2. 3. 4. 5.

20

PAGE

1. 2. 3. 4. 5.

(1,1) (4,7) (9,7) (4,0) (10,10)

6. 7. 8. 9. 10.

D A B J G

C H I F E

(-5,4) (-1,-4) (-2,5) (-3,-1) (0,0)

6. 7. 8. 9. 10.

G B I J H

F A C D E

21

PAGE

1. 2. 3. 4. 5.

(0,0) (6,9) (0,7) (8,5) (3,8)

(2,3) (1,1) (5,4) (-1,2) (5,-1)

22

PAGE

•E •C

60 110 880 700 470 5,900 2,000 2,000 7,100 2,300 4,000 28,000 427,000

40 40 220 80 770 440 90 1,430 320 2,650 500 800 500 300 600 300 200 900 1,000 300 12,000 65,000 7,248,000

17

0.461, 0.46, 0.5 1.278, 1.28, 1.3 4.351, 4.35, 4.4 19.788, 19.79, 19.8 27.643, 27.64, 27.6 91.1 98.8421 994.13 741.453 8.495 37.192 367.9 745.3 365.6388 69.68

PAGE

1. 250 2. Tuesday 3. Monday,Tuesday,Wednesday, and Thursday 4. Saturday and Monday 5. Sunday and Monday;Tuesday and Wednesday 6. Monday and Tuesday;Wednesday and Saturday 7. the day, Monday, and the number of attendees, 100 8. the day, Saturday, and the number of attendees, 400

16

20 110 980 710 960 6,700 4,500 400 8,500 9,300 7,000 17,000 725,000

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

15

> > > > < > > > > = 0.31; 0.32; 0.362; 3.02 0.275; 5.26; 5.27; 5.73 8.99; 9.06; 9.114; 9.6 2.624; 2.742; 3.451; 3.541 8.08; 8.10; 8.21; 8.8

19

PAGE

•I •C

•H

138

•D •B

•G

•E •B

PAGE

1. 2. 3. 4. 5. 6.

•J

•F

•F

•H

23

0.2, 20/100, 20% 0.37, 37/100, 37% 0.77, 77/100, 77% 0.57, 57/100, 57% 0.29, 29/100, 29% 0.02, 2/100, 2% 8.

9.

60.8 9.0 92.15 17 700 PAGE

6. 7. 8. 9.

•I

•A

•J

•D

7.

18

Jose 10 Katie Akira, Katie 75

•A •G

5 orange juice 45% water

1. 2. 3. 4. 5.

24

2.5 1 1 10 80

1.4 1.2 18 60 120

6. 7. 8. 9. 10.

60 5 40 20 10

120 3 14 48 63

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Grade 5 BM

7/20/06

PAGE

1. 2. 3. 4. 5.

1. 2. 3. 4. 5.

PAGE

10% 5% 20% 100% 0.1%

1. 2. 3. 4. 5. 6. 7.

90% 6. 50% 7. 92% 8. 55% 9. 46% 10.

28 3/10, 30% 51/50, 10.2% 3/5, 60% 16 1/4, 1625% 200 1/5, 20,020% 0.06 0.18 0.25 0.17 0.4 0.64 0.34 0.8 0.5 0.49

29

8. 5 9. 6 10. 3 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11.

250% 420% 20% 12% 10% 30% 9% 20% 140% 20% 70% 960% 91% 990% 12%

30

4 10,000 27 1,024 125 81 64 34,300 53 141 42 x 102

100,000 144 100 64 2,187 216 6 1,144 32 x 102 32 x 52 x 62 22 x 7

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

PAGE

32

1. 2003: Pridi,Vertu, Eilosa, Dedrum; 2005: Pridi,Vertu, Eilosa, Dedrum 2. 2005 3. 71.4% 4. 50% 5. 20/100 = 1/5 6. 0.15 PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

33

6,000,000 + 400,000 47,672 +20 -43 +534 -16 0.16 2900.5 6/7 57/100 70/100 130/100 five eighths 59/9 623/100 0.48 240/100 1.16 232/100 2.6 6 5/8 510 61 143

PAGE

35

Answers may vary. 1. 8+1=9, 9–1=8 15+5=20, 20–5=15 40+24=64, 64–24=40 2. 11+5=16, 16–5=11 17+15=32, 32–15=17 51+27=78, 78–51=27 3. 9+7=16, 16–9=7 12+13=25, 25–13=12 23+63=86, 86–63=23 4. 7+12=19, 19–12=7 21+6=27, 27–6=21 52+45=97, 97–45=52 5. 8+5=13, 13–5=8 20+21=41, 41–20=21 66+35=101, 101–35=66 6. 7+8=15, 15–8=7 13+40=53, 53–13=40 96+54=150, 150–96=54

139

36

1. 4 + 12 = 16, commutative 2. 14 + 20 = 34, commutative 3. 120 + 50 = 170, commutative 4. 100 + 0 = 100, zero 5. 150 + 0 = 150, zero 6. 26 + (6 + 7) = 39, associative 7. 20 + 0 = 20, zero 8. 25 + 52 = 77, commutative 9. 620 + 260 = 880, commutative 10. (17 + 87) + 42 = 146, associative 11. (63 + 27) + 15 = 105, associative PAGE

1. 2. 3. 4. 5. 6.

10 10 9 11 9 7

PAGE

1. 2. 3. 4. 5. 6. 1. 2. 3. 4. 5. 6. 7.

9 12 12 16 8 5 16 17 22 26 25 23

8 7 10 9 10 8

27 25 19 22 24 25

1. 2. 3. 4. 5. 6.

13 9 12 7 15 5

13 19 17 14 3 16 12 12 20 17 11 14

20 21 22 23 28 28

7. 8. 9. 10. 11. 12.

18 15 15 20 20 12

16 22 21 20 18 19

20 16 23 27 20 24

24 43 23 30 31 27

85 80 90 37 104 57 125

75 42 115 98 97 125 99

33 74 98 85 68 81 138

24 102 93 104 105 96 154

86 108 113 169 79 80 167

1993 2070 7533 3815 9747 5170 4989

1716 1723 6588 4372 3156 7478 8336

1581 1817 4770 1630 4534 5935 9643

1223 1510 6453 4999 4532 6660 5336

1387 1170 4320 8825 10195 6141 3245

40

41

1. 5,469,071 2,793,166 2. 8,276,766 14,008,916 3. 13,161,725 14,013,656 4. 7,120,065 9,762,691 5. 12,656,634 12,108,231 6. 12,385,183 16,412,809 PAGE

8 7. 6 12 14 8. 7 8 9 9. 11 8 11 10. 13 14 15 11. 8 10 18 12. 6 13

39

1770 1638 3178 8657 6061 9776 10486

PAGE

14 11 11 10 10 6

38

120 58 102 125 83 110 61

PAGE

1. 2. 3. 4. 5. 6. 7.

37

16 14 12 15 17 16

PAGE

34

1. 204; 224; 242 7/100; 7/10; 77/100 2. 163; 361; 631 1/8; 1/7; 1/3 3. 2,479; 2,794; 2,947 45/1000; 0.45; 45/10 4. 0.43; 0.334; 0.434 0.006; 0.16; 6/10 5. 10.07; 10.071; 10.7 2 5/6; 47/10; 23.47 6. -3 7. 0.1 8. 8,000 9. 7 10. hundredths PAGE

63 36 84 54 12x12x12 4th power 2nd power (squared) 3rd power (cubed) 1 0

31

1. 6.1 cm 2. Nicklin 3. C 4. Pedro and Rosalyn 5. 14 students PAGE

1x1 7x7x7 16x16x16x16 20x20x20x20x20 3x3x3x3 2 3rd power (cubed)

PAGE

62.5 6.75 50% 10% 30%

0.63, 63/100 0.16, 4/25 1.25, 1 1/4 0.46, 23/50 2.0, 2/1 1/25, 4% 1/8, 12.5% 423/1000, 42.3% 1 6/25, 124% 2 39/50, 278%

1. 6 7/20, 63.5% 2. 819/1000, 81.9% 3. 3 69/100, 369% 4. 23 1/2, 2350% 5. 100 3/4, 10,075% 6. 3/50, 6%, 7. 9/50, 18%, 8. 1/4, 25%, 9. 17/100, 17%, 10. 2/5, 40%, 11. 16/25, 64%, 12. 17/50, 34%, 13. 4/5, 80%, 14. 1/2, 50%, 15. 49/100, 49%, PAGE

1.28 60 45 40 5%

27

53% 50% 49% 25% 75% 75% 83% 60% 138% 40%

PAGE

6. 7. 8. 9. 10.

26

0.25, 1/4 0.07, 7/100 0.67, 67/100 0.92, 23/25 1.5, 1 1/2 51/100, 51% 18/25, 72% 3/10, 30% 3/50, 6% 3/20, 15%

PAGE

Page 139

25

12.5% 600% 10% 20% 25%

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

10:14 AM

15,308,687 1,765,591 6,499,313

10,989,870

12,510,837 8,688,492 11,146,049 11,048,220 15,036,438 11,299,312 9,837,795

11,670,123

42

7.14 12.12 6.493 2.935 38.69 1.3222

21.43 19.15 0.562 8.4559 42.22 9.52

5.484 16.081 112.983 767.215 2.41271 68.15

18.553 10.389 107.486 7591.66 110.163 72.801

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 BM

7/20/06

10:14 AM

Page 140

Answer Key PAGE

43

PAGE

1. 106 837 145,310 2. 66 763 8,144,151 3. 1084 977 1,511,691 4. 852 1170 3,130,613 5. 1603 1149 325,247 6. 9514 7174 4,077,617 7. 6038 1426 93,785 8. 13,380 718 6,121,737 PAGE

124,494

28,268

99,213

99,647

109,458

56,157

76,795

79,171

73,635

85,487

8,312,896

28,764

46,414

78,645

3733.10

110.356

1,051.46

820.4402 1,330.32 97,741.51 692.19 689.58

1,227.33

1,168.54

426.3543

864.46

410.8917

403.2911 751.517 473.12

895.65

45

1. 49,878 68,398 14,684 80,028 63,048 2. 91,388 35,021 73,352 57,882 70,137 3. 150,447 100,438 113,072 160,579 28,172 4. 61,423 12,954,681 11,590,760 13,440,569 5. 868,864,258 1,438,338,742 526,765,202 9,494,215 2,016,305 PAGE

1. 2. 3. 4. 5. 6.

1 0 3 4 8 3

PAGE

1. 2. 3. 4. 5. 6.

4 5 8 6 9 2

46 1 7 7 6 0 4

2 4 5 7 1 9

2 8 5 5 9 3

7. 8. 9. 10. 11. 12.

2 4 5 4 5 8

4 2 3 6 7 8

8 3 11 10 17 9

8 9 6 5 13 8

47 15 15 16 2 23 22

9 7 45 47 68 25

43 2 19 47 54 64

1. 2. 3. 4.

20 12 25 17

PAGE

44

1. 5.154 2.003 14,694.044 2. 99.606 47.12 1,297.403 3. 103.031 4.988 2,031.797 4. 139.165 9.25 148.1524 5. 55.032 317.63 4,547.7224 6. 95.40 135.05 506.43 7. 164.46 310.84 15,020.9704 8. 382.21 60.9 71.675222 PAGE

7905

7. 8. 9. 10. 11.

7 7 3 8 5

30 33 15 56 76

17 10 26 36 53

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

44 55 59 88 82

1. 2. 3. 4. 5. 6. 7.

48 26 51 68 52

2629 1226 2657 5836 1496 2593 412

3456 1045 855 6386 2158 862 6107

1001 1348 526 2636 2467 755 5264

3899 1073 5033 2535 1254 1868 4200

95,169

5,142,206

421,508

8,911,011

154,103

6,510,425

546,771

4,423,083

203,628

1,794,888

8,372

2,266,117

471,823

3,065,169

295,375

7,425,966

17.06

86.92

0.106

16.36

3.26

90.2

44.22

24.163

4.4

7.45

40.651

0.11

62.25

59.054

7.71

8.14

1.7532

17.3

54.86

0.519

3.14

44.83

40.2678 84.7

PAGE

1. 2. 3. 4. 5. 6.

228

142,677

90

165

236,642

192

1,847

104,700

220

74,405

540,335

221

67,343

480,462

33

78,705

406,991

4,590 19,114

9,402,319

8,491 6,920

3,063,712

54

79 88 104 51 26 69

PAGE

214

164 78 125 15 16 15

238 895 1,477 190 411 80

1,211 1,104 1,332 345 111 256

55

1. 19 letters 2. 1,094 feet PAGE

57 163 248 497 713 264

3. 306 squares 4. 150 pants

56

6,643 79,014 4,495,514 3,935 71,181 2,262,573 4,726 21,739 461,426 35 35,524 837,158 3,994 25,094 3,038,025 1,129 27,417 35.2 516 58,052 63.995 6,762 29,833

140

PAGE

57

1. 650 755 319 2. 557 498 4,565 3. 1,690 5,740 1,662 4. 101 90 2,275 5. 7,732 68,484 5,283,325 6. 3 feet 7. 28 socks PAGE

PAGE

12,882

1. 2. 3. 4. 5. 6.

613

505

427

1,353

694

7,456

4,436

41,132 1,559

14,895 16,814 1,990 158,961 1,196 10,391

58

1. 940 750 901 2. 520 337 102 3. 8,746 971 9,263 4. 176 98 13,891,486 5. 10,139 20,252 1,744 6. 256 kites 7. 708 yards

52

1. 63 307 261,301 2. 44 27 573,820 3. 13 445 740,122 4. 61 39 181,090 5. 53 407 340,191 6. 39 121 546,734 7. 6 337 422,424 8. 49 558 33,732

53

1. 8 697 15.4 2. 4 696 0.2 3. 9 85 32.15 4. 47 886 23.26 5. 44 373 2.202 6. 41 370 71.943 7. 9 537 76.0 8. 42 433 26.067

1. 3,960 tickets 3. 15 objects 2. 4 candy bars 4. 17 blocks

51

1. 0.8 17.2 66.22 2. 4.2 56.4 56.3 3. 1.3 70.8 1.327 4. 35.4 12.9 22.556 5. 1.2 85.8 4.236 6. 11.1 6.6 38.055 7. 87.5 51.8 6.808 8. 47.8 3.69 3.197 PAGE

5. 18 18 9 35 6. 18 44 69 45 7. 12 15 49 61

50

1. 468,999 6,095,789 2. 100,964 2,547,485 3. 635,337 6,100,428 4. 57,876 1,026,773 5. 289,251 97,545 6. 633,917 406,359 7. 818,084 3,426,720 8. 225,023 1,155,838 PAGE

5 26 17 14

49

1873 7680 4546 9086 108 1554 3710

PAGE

PAGE

34 8 35 22

307

209

1,009

468

516

1613

7,791

2,143 9,506

2,990 143,152 6,467,919 10,659 435 6,847

59

5, 10, 15, 20, 25, 30, 35, 40, 45, 50 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 7, 14, 21, 28, 35, 42, 49, 56, 63, 70 8, 16, 24, 32, 40, 48, 56, 64, 72, 80 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 BM

7/20/06

10:14 AM

Page 141

7. 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 8. 15, 30, 45, 60, 75, 90, 105, 120, 135, 150 9. 11, 22, 33, 44, 55, 66, 77, 88, 99, 110 10. 20, 40, 60, 80, 100, 120, 140, 160, 180, 200 11. 16, 32, 48, 64, 80, 96, 112, 128, 144, 160 PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

60

4: 4, 8, 12; 6: 6, 12 8: 8, 16, 24; 12: 12, 24 9: 9, 18, 27, 36, 45; 15: 15, 30, 45 15: 15, 30, 45, 60; 20: 20, 40, 60 3: 3, 6, 9, 12, 15; 5: 5, 10, 15 30, 60, 90, 120, 180 24, 48, 72, 96, 120 25, 50, 75, 100, 125 35, 70, 105, 140, 175 13, 26, 39, 52, 65

PAGE

61

1. 5 x 1 2 x 3, 1 x 6 4 x 5, 2 x 10 2. 9 x 3, 27 x 1 6 x 5, 3 x 10, 30 x 1, 2 x 15 2 x 12, 4 x 6, 8 x 3, 1 x 24 3. 5 x 5, 1 x 25 7 x 3, 21 x 1 6 x 3, 2 x 9, 18 x 1 4. 15, 30, 45, 60, 75 5. 10, 20, 30, 40, 50 6. 12, 24, 36, 48, 60 7. 35, 70, 105, 140, 175 8. 64, 128, 192, 256, 320 PAGE

1. 2. 3. 4. 5. 6.

33 7 x 22 7x5 32 x 22 32 x 5 1 x 47

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

1. 2. 3. 4. 5. 6.

4 42 24 36 16 12 80 40

72 7 x 23 2 x 52 26 23 x 32 34 112

6 30 18 48 0 16 11 70

56 35 72 28 54 20 9 80

45 27 24 81 14 32 50 90

90 12 24 36 45 63 35 10

30 72 50 16 28 14 0 60

24 24 8 42 18 40 80 0

20 21 27 6 54 12 16 40

28 0 93 100 144 512

315 747 364 186 114 120

485 44 738 54 483 574

175 342 196 174 185 56

PAGE

64 21 25 40 10 18 60 22

PAGE

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

12,404

0

6,405

1,237

15,552

10,244 12,780

28,696

4,685

37,764

32,380

32,935 27,234

21,861

25,566 21,900

2,139

27,648 46,291

6,180

67 8,324,064 21,285,175 15,813,175 33,710,264 15,365,259 13,975,924 9,770,496 68,405,013 11,649,384 9,146,135 7,310,280 16,580,426 13,070,196 17,773,995 42,268,740 22,221,588

0.36 0.24 13.05 0.720 201.6 5.76

4.76

43.2 44.1 6.03 41

1.47 36.4 445.8 552.6

3.186 4.36 12.93 27.52

17.2 9.6 9.64 432.6

PAGE

410

756

1,330 1,406

864

4,340

5,040 6,570

540

1,386

2,774 1,288

1,404 1,517

546

1,134

2,430 775

299

2,295

1,408 504

924

1,830

70

141

151,514 262,304 29,820

82,004

15,552

109,548

166,379 162,404

71

1. 2. 3. 4. 5. 6. 7. 8.

3 3 4 5 2 8 7 8

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

7 3 9 2 7 10 9 9

1. 2. 3. 4. 5. 6. 7. 8.

9 8 8 6 5 37 27 12

239,941,200 41,250,488 315,555,048 229,754,496 44,566,799 162,406,839 326,674,194 385,579,350 233,524,520 411,530,281 527,229,486 83,477,082 62,247,540 127,182,694

72

1. 33.075 28.47 2. 0.456 6.37 3. 4.43 19.78 4. 40.18 64.9 5. 14.352 52.46 6. 46.48 24.864 7. 387.8489 805.8582

PAGE

56,448 149,158 277,275 23,532 25,194 110,775 332,320 25,870 250,580 378,510

666,666 138,759 92,160 545,262 32,302 83,408 391,500 37,950

1. 84,899,318 418,533,666 2. 81,436,625 606,836,850 3. 203,352,950 163,982,916 4. 327,628,377 284,466,094 5. 364,091,972 307,582,579 6. 127,209,362 22,900,768 7. 25,440,135 42,011,116

PAGE

69

1. 131,292 278,400 2. 113,421 70,495 3. 41,454 230,278 4. 49,755 535,815 5. 57,375 44,750

6. 376,832 279,480 7. 176,767 504,355

PAGE

68

1. 384 944 2. 420 1,480 3. 2,340 713 4. 799 972 5. 2,520 693 6. 1,476 1,364 PAGE

528 74 230 264 375 136

7,712

1. 28,463,517 15,366,534 2. 22,517,484 14,919,247 3. 19,328,464 33,795,276 4. 12,864,844 58,649,815 5. 13,051,458 23,410,670 6. 33,066,710 27,998,676 7. 38,531,700 17,775,947 8. 5,682,632 14,268,120 1. 0.156 2. 1.674 1,723.0 3. 0.1421 4. 3.68 5. 139.2 6. 30.4

65

64 63 108 360 372 603

66

1. 47,349 12,639 2. 6,620 7,058 3. 5,080 16,384 4. 58,416 8,302 5. 56,126 12,580 6. 57,240 7,740 7. 4,231 6,525

PAGE

64

4 15 12 80 10 56 33 18

PAGE

7. 8. 9. 10. 11. 12. 13.

63

15 12 49 36 63 8 70 30

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

62

PAGE

12.852

2.475

2.0825

4.06

31.175

19.669

28.635

276.25

66.64

34.16

0.9114

1.53

2.9211

136.32

12.57

52.32

86.00022 77.826

282.49788 13,420.582 35,032.3372

73 3 6 8 3 10 9 5 7

9 7 4 4 10 4 3 4

2 8 8 4 7 8 11 10

3 2 0 1 6 1 5 6

2 4 4 1 0 11 2 10

5 6 8 6 10 10 0 6

8 4 8 6 3 1 5 5

4 8 7 10 5 4 0 11

9 9 2 10 11 3 7 11

32 9 5 7 18 17 12 13

17 5 3 12 27 23 13 12

8 5 6 15 18 12 13 13

74 2 5 9 6 6 0 10 1

75 12 7 9 5 7 29 12 12

314,592 69,300

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Grade 5 BM

7/20/06

10:14 AM

Page 142

Answer Key PAGE

1. 2. 3. 4. 5. 6. 7. 8.

PAGE

1. 2. 3. 4. 5. 6.

1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 1. 2. 3. 4. 5. 1. 2. 3. 4. 5.

PAGE

1. 2. 3. 4. 5. 6. 7.

6R2 5R6 21R1 3R4 10R3 11R1

142R62 12R44 352R2 123R1 240R4

160R31 33R72 190R2 84R1 178R2

0.153 0.125 1.25 0.255 0.629

0.131 0.253 0.541 0.693 2.3

0.82 0.144 0.323 6.3 5.04

4R10 4 6R2 5R5 6 2 3 4

8 6R5 2 3R10 3 5 7 3

7 4 2 2 5 8 7 2

1. 2. 3. 4. 5. 6. 5R4 7 4 4 6 4 6 3

126 56 83 156 123R10 163R8 126

243 342 45 122R3 85 307 50

4 15.5 65.3 112.5 42.1

13.2 45.2 89.2 123.6 92.7

24.5 45.6 46.3 49.3 96.3

122 35R24 167R3 300 400R9 60 65

82

83 18;18x5=9 27;27x3=81 8;8x3=24 12;12x6=72 13;13x7=91 13;13x2=26 37;37x2=74 6;6x9=54 63;63÷7=9 81;81÷9=9 450;450÷90=5 30;30÷6=5

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

1. 2. 3. 4.

PAGE

90

1. 2. 3. 4.

1/9 2/5 1/5 2/3 1/3 7/9

1. 2. 3. 4. 5. 6. 7.

89 145 32,220 233,856 251,583 741 2,195,667

1,992 465 214 899 785 235 564

56 7,470 447 742 465 562,513 236

PAGE

1. 2. 3. 4. 5. 6. 7.

PAGE

9/10 1 3/8 1 1/6 7/8

7/10 11/12 1 1/3 2/3

1 7/15 1 13/30 11/15 17/20

PAGE

2/5 2/7 2/3 3/5 1 1/5

3/4 1/5 1/2 1/3 2/5 5/8

3/7 3/4 2/3 2/7 1 5/7

PAGE

1. 2. 3. 4. 1. 2. 3. 4.

1/4 1/6 1/6 11/20

13/30 2/9 1/2 1/2

2/5 13/24 3/4 4/15

1/3 17/42 5/12 1/2

1/6 1/10 5/9 3/14 5/28 6/25 5/18 7/32 7/48 6/35

142

1/5 4/7 7/32 2/15 10/21 5/16 1/12

7/30 10/21 3/4 77/96 1/4 1/4 1/3

9/1 1/12 5/3 3/8 x 2/3 x 1/3 x 3/7 x

4/1 5/1 3/2 9/5

= = = =

2/3 4 1/2 2 7/9 5/12 27/40 8 1/2

1 1/5 1 1/7 3/10 2 4/5 15 2 1

2/3 5/6 18/25 5/7 3/7 24/35 1 1/35

97 20/33 1 11/15 1 23/105 1 89/115 1 7/8 23/37

2 3/5 7/22 1 23/40 1 11/45 8/9 37/60

16/25 65/144 4 29/40 28/33 29 3/5 9/20

98

4 cups of sugar 33 1/3 acres 6 minutes and 28 seconds 1/6 cup of milk

99

1/2 28 more people 4:08 P.M. 116 people

100

2/3 3/4 1/9 1 13/30 1 5/12 3/20 1/2

PAGE

1. 2. 3. 4. 5. 6. 7.

4 1/2 3 3/8 2 7/10 25 5/18 31 1/2 7 13/20 25 1/2

96

2 19/28 3 1/3 1 9/20 21/22 12/19 1 8/13

PAGE

1. 2. 3. 4. 5. 6. 7.

1 13/15 11 1/5 5 5/6 6 7/8 10 5 28 4/5

95

7/8 4/15 12 1 2/3 2 1/2 1 1/5 1 3/5

7/9 5/6 7/10 1 3/5 2 1/6 2 8/13

1. 2. 3. 4. 5. 6.

6 3 3/20 3 3/4 8 2/5 10 58 4/15 48 11/16

1/8 4/2 6/5 2/1 1/14 8/7 4/3 4/1 24/1 5/6 x 2 = 1/3 x 1/5 = 3/10 x 5/1 = 1/4 x 3/1 = 1/3 x 2/1 = 4/5 x 4/1 = 3/4 x 3/4 = 9/10 x 1/6 =

1 1/4 4/5 4/7 1 1 1/2 1 4/9

93

12/35 3/10 1/3 3/28 7/20 2/7 3/20

PAGE

1. 2. 3. 4. 5. 6. 7.

94

1 27/28 7 1/2 27 3/28 6 6/7 11 7/10 16 7/8 7 1/2

1 1/4 4/7 1 5/9 4/9 1 1/5

92

1. 3/21 2. 3/10 3. 5/24 PAGE

9 8 2 21 155 312 31

91

5/9 5/8 1/2 1/2

PAGE

8 48 123 56 57 5 8

89 1/10 3/8 1/12 5/12

PAGE

7 8 5 120 44 10R1 12

88

1 1 1 1

1. 2. 3. 4. 5. 6.

99 49 21 52 170 125 80

87

1 1 7/8 6/7 7/8 1 1/5

PAGE

3. 51 cars 4. 3 times

86

1,804 15,967 43,708 193,860 107,856 4,046,502 2,341,262

PAGE

52R20 52 27 217R2 241 31 170

3;3x6=18 5;5x7=35 12;12x5=60 13;13x4=52 84;84÷7=12 52;52÷13=4 6. 39;39÷3=13 36;36÷12=3

1. 2. 3. 4. 5. 6. 7.

1. 2. 3. 4. 5. 6. 7.

85

5 72 70 11 24 150 20

PAGE

213R10 23R27 302R3 348R2 214R7

PAGE

3. 18 kazoos 4. 3 minutes

1. 120 cookies 2. 40 feet

81

322.3 87.5 85.2 96.3 94.3

PAGE

PAGE

80

132 52R26 31 165 75R7 141 20

PAGE

6R4 5R3 23R2 3R6 17R1 10R6

84

1. 15 pills 2. 60 people

79

2R20 6 5R3 4 7R3 5 6 3

PAGE

1,201 371 1244 7,105 904 187 3,976 2,142

78

0.8 0.234 0.322 0.411 5.6

PAGE

2,316 2,114 794 749 1,304 3,121 513 1,240

13R2 14R1 7R3 5R1 33R2 18R2

318R17 27R20 40R28 2,114R1 126R1

PAGE

1. 2. 3. 4. 5.

PAGE

276 302 215 353 449 220 314 2,752

77

13R1 8R1 6R7 15R5 19R1 19R3

PAGE

1. 2. 3. 4. 5.

76

718 918 2,307 1,227 239 1,015 513 721

7/18 1/3 1 1/7 2/5 1/3 1/6 2 5/8

3/10 1/12 3/64 15/32 3 1/3 1 1/12 2/3

101

1 23/40 3/8 3/10 22 11/12 1/6 11/12 3 16/25

PAGE

1 1/4 19/24 1/9 1 1/5 1/2 1 5/24 15/32 1 5/12 1 11/24 6 3 5/23 4 21/50 19/40 31 2/3

1/6 1 1/6 1 1/24 12 1 2/5 5/8 3/8

5/6 11/18 3/20 10 2/25 1 1/2 26 1/24 7 1/2

102

1. 13 + n = 25 2. n x 7 = 21

16 – n = 10 48 ÷ n = 8

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3. 4. 5. 6.

n – 2 = 14 4 x n = 32 18 – 7 = n n/2 + 9 = 15

PAGE

1. 2. 3. 4. 5.

10:14 AM

2n – 4 = 8 64 + n = 82 n – 19 = 20 15 + n = 25

103

4 12 0 15 10

PAGE

20 84 50 18 37

6. 7. 8. 9. 10.

8 105 115 20 7

4. n = 10 n = 2 5. n = 12 n = 4 6. n = 14 n = 4

105

1. x,y 0,3 1,5 2,7 4,11 6,15 2. x,y 0,-1 1,1 3,5 4,7 5,9 3. x,y 0,-3 3,3 5,7 6,9 7,11 PAGE

50 8 14 12 15

104

1. n = 3 n = 9 2. n = 3 n = 2 3. n = 3 n = 42 PAGE

Page 143

x,y 1,7 2,9 3,11 4,13 5,15 x,y 0,-3 4,1 5,2 6,3 8,5 x,y 0,5 1,8 5,20 7,26 10,35

x,y 0,-3 3,9 5,17 10,37 15,57 x,y 2,22 4,42 6,62 10,102 12,122 x,y 1,2.5 2,3 4,4 6,5 8,6

106

1a. x,y 0,1 2,2 4,3 6,4 8,5 1b. x,y 0,4 1,6 2,8 3,10 4,12

•

•

•

•

• • • •

2a. x,y 0,-4 1,0 2,4 3,8 4,12 2b. x,y 0,1 1,4 2,7 3,10 4,13

•

• • •

• • • •

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

107

PAGE

n – 12 = 16 n x 12 = 48 (2 x n) – 6 = 18 96 7 59 n = -19 n = 90

PAGE

n – 100 = 36 61 + n = 121 n/3 – 7 = 0 47 2 291 n=4 n=3

108

1. 84 = 4n; n = 21 degrees 2. 2,346 – 573 = n; n = 1,773 miles 3. 9($15) = n; n = $135 4. 18 + 14 = n; n = 32 dandelions 5. 5n = 4,125; n = 825 kilograms PAGE

1. 2. 3. 4.

PAGE

1. 2. 3. 4.

16º 75º 180º 100º obtuse acute acute acute

111

112

400 mm 276,000 mm 21,000 cm 6.256 m 20,000 mm 360 mm 660 cm 20,000 m 3,000 mm 4,200 cm

PAGE

2600 cm 96,000 m 3.7 m 9.422 km 0.01 km

PAGE

1. 2. 3. 4.

A A A A

PAGE

A = 35 A = 120 x height = x height =

3. 25 16 38 4. 24 56 50

A = 240 A = 72 20 x 12 = 240 in2 8 x 14 = 112 in2

116 = = = =

60 A = 81 A = 60 4 A = 38.5 A = 48 1/2 bh = 6 x 8 = 48 ft2 1/2 bh = 3 x 10 = 30 in2

117 front = 8 x 1 back = 8 x 1 side 1 = 6 x 1 side 1 = 6 x 1 top = 8 x 6 bottom = 8 x 6

2. Drawings will vary. 3. Drawings will vary.

118

1. SA SA 2. SA SA 3. SA SA PAGE

= = = = = =

2400 ft2 190 in2 318 ft2 210 m2 382 yd2 1,800 in2

SA = 598 cm2 SA = 724 in2 SA = 96 cm2

119

1. V = 6 x 6 x 6 V = 2 x 2 x 10 V = 20 x 5 x 10 2. Drawings of rectangular prisms will vary. 3. Drawings of rectangular prisms will vary. PAGE

120

1. V = 24 in3 V = 240 in3 V = 56 cm3 2. V = 120 yd33 V = 150 ft3 V = 1,496 m3 3. 6 cubes 8 cubes 6 cubes PAGE

121

1. 75 meters 2. 294 boxes 3. acute

PAGE

114

143

160 96 base base

1. 2. 3. 4. 5. 6.

3. 32 in2 4. obtuse

123

400 mm 0.07m 86,010,000mm obtuse straight 36 in

PAGE

4. 32 yd 5. 28 feet

122

1. 64 inches 2. right

113

1. 12.5 16 15 2. 12 25 38

115 = = = =

1. front = 5 x 6 back = 5 x 6 side 1 = 4 x 6 side 2 = 4 x 6 top = 4 x 5 bottom = 4 x 5

PAGE

1. a. P = 11 + 11 + 5 + 5 b. P = 3 + 2 + 5 + 2 + 3 + 10 c. P = 6 + 6 + 12 2. a. P = 3 + 3 + 3 + 3 + 3 + 3 b. P = 2 + 2 + 10 + 5 + 10 c. P = 6 + 9 + 14 3. Drawings of shapes will vary. PAGE

A A A A

PAGE

acute acute right right

27 feet 120 inches 5280 yards 450 inches 36,960 feet 24 ft 5 ft 1 ft 1,805,760 ft 7 yd 880 yd 5 mi 6 in 3 mi 23,040 in

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

160º 45º 68º 163º

110

obtuse straight obtuse acute

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

109

120º 90º 135º 12º

1. 2. 3. 4.

72 in 5280 yd 6 yd acute obtuse 49 cm

right right

124

1. length 13.18 in 7.42 cm 11m width 14 in 5.72 cm 10m height 11 in 4.75 cm 2 m surface area 967 in2 209.71 cm2 404 m2 volume 2029.72 in3 201.60 cm3 220 m3 2. A = 1,196 mm2 A = 48 ft2 A = 36 m2 3. V = 68,544 cm3 V=1,452 in3 V = 72 m3

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Page 144

Answer Key PAGE

1. 2. 3. 4.

PAGE

1. 2. 3. 4.

125

213, 5 42, 5 104, 4 94, 5

126 5. 6. 7. 8.

15 0.375 .350 100 balls

127

PAGE

2/5, 1/3, 4/5,

PAGE

1. 2. 3. 4. 5. 6. 7.

134

2/5 2/3 2/5,

3/5

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

3. 5 out of 32 4. 1 out of 3

135

4 Mean, 12; Mean, 57; Mean, 134; Mean, 43; Mean, 18; Median, 15;

PAGE

128

1. 1/5, 2. 1/6, 3. 2/5,

3. 1 out of 6 4. 15 out of 26

1. 1 out of 2 2. 1 out of 7

1. 1/3 2. 1/6 3. 2/3 4. 5/6 5. 1/2 Answers include: 6. P(>20) 7. P(<12) 8. P(41) 9. P(even) PAGE

133

1. 1 out of 3 2. 1 out of 24 PAGE

30.75 69 2,737 5

PAGE

PAGE

5. 6 hits 6. 79 degrees 7. 6 hours

12.5 Median, 12; Median, 60; Median, 121; Median, 32; Median, 16 Mode, 15

18.75 Mode, 12 Mode, 40 Mode, 121 Mode, 32

136

19:114 97:114 32:114 92:114 0 19:95 97:17 37:77 93:21 71:43

129

1. 2. 3. 4. 5. 6. 7.

26/26 = 1/1 or 1 to 1 26/26 = 1/1 or 1 to 1 4/48 = 1/12 or 1 to 12 13/39 = 1/3 or 1 to 3 48/4 = 12/1 or 12 to 1 75% 16, or a multiple of 16 pieces of red jewelry 8. 1 to 10 9. 4 to 1 PAGE

1. 2. 3. 4. 5. 6.

130

1:7 1:1 1:1 1:3 7:1 1:1

PAGE

7. 8. 9. 10. 11.

3:1 1:1 5:4 4:1 24:1

131

1. 2. 3. 4. 5.

12 is the the median and the mean. 16 is the mode. 5 is the median and the mean. 15 is the median and the mean. 25 is the median, the mean, and the mode. 6. 13 is the mode. 7. 80 is the median and the mode. 8. 45 is the mode. PAGE

1. 2. 3. 4. 5.

132

10.6 9 44 25 31

9 29 35 23 7

6. 7. 8. 9.

9 14 22 36

199

Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006

144

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Saddleback Math Covers

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MATH COMPUTATION SKILLS & STRATEGIES Every book in the Math Computation Skills and Strategies series contains over 100 reproducible pages.These highinterest activities combine computation practice with strategy instruction. Featuring a Scope and Sequence chart, the books allow educators to supplement their math lessons with the extra math practice all students need. In addition, periodic reviews allow for reinforcement and assessment of skills.

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The books are grade specific, but they were created with students of all ages in mind. Each book features ready-to-use pages with instructional tips at the beginning of each lesson. Math Computation Skills and Strategies reproducible books are the perfect choice for educators.

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MATH COMPUTATION SKILLS & STRATEGIES Operations Fractions and Decimals Whole Numbers Perimeter and Area Regrouping

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Solving Word Problems Money Measurement

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100 plus+ REPRODUCIBLE ACTIVITIES

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