Chapter Resources - Education Place® Pretest (3 pages) Resources for Lessons 9.1 – 9.6 (6 pages/lesson) • Reteach 9.1 – 9.6 • Practice 9.1 – 9.6 • Enrichment 9.1 – 9.6

Copyright © by Houghton Mifflin Company. All rights reserved.

Permission is hereby granted to teachers to reprint or photocopy classroom quantities of the pages or sheets in this work that carry a HoughtonMifflin copyright notice. These pages are designed to be reproduced by teachers for use in their classes with accompanying Houghton Mifflin materi-al, provided each copy made shows the copyright notice. Such copies may not be sold, and further distribution is expressly prohibited. Except asauthorized above, prior written permission must be obtained from Houghton Mifflin Company to reproduce or transmit this work or portions thereof inany form or by any electronic or mechanical means, including any information storage or retrieval system, unless expressly permitted by federal copy-right law. Address inquiries to School Permissions, 222 Berkeley Street, Boston, MA 02116.

Printed in the U.S.A.

Booklet 9 of 25

Chapter Pretest (3 pages)

Resources for Lessons 9.1 – 9.6 (6 pages/lesson)• Reteach 9.1 – 9.6• Practice 9.1 – 9.6• Enrichment 9.1 – 9.6• Problem Solving 9.1 – 9.6• Homework 9.1 – 9.6• English Learners 9.1 – 9.6

Chapter Test (2 pages)

Chapter ResourcesGRADE 4, CHAPTER 9

Contents

Name Date

Copyright © Houghton Mifflin Company. All rights reserved.

Chapter 9Pretest

Go on

Are You Ready?Divide. Check your answers.

1. 4��7�2� 2. 6��4�5� 3. 3��7�0�

4. 2��5�6� 5. 3��1�3� 6. 6��7�7�

7. 4�5�6� 8. 3��9�3� 9. 5�7�9�

Solve.

10. A number is divided by 4. What numbers could theremainder be?

4A09L1 7/8/05 8:47 AM Page 1

Name Date


Chapter 9Pretest

continuedCheck What You KnowDivide. Check your answers.

1. 3��6�4�2� 2. 6��7�0�4� 3. 597 � 5 �

4. 6��3�7�2� 5. 7��6�7�8� 6. 208 � 4 �

7. 3��6�0�9� 8. 4��4�1�3� 9. 545 � 5 �

10. 6��9�,8�3�4� 11. 3��2�,6�6�2� 12. 1,234 � 8 �

Go on

76274-A-09-L1-L5 2/26/03 4:06 PM Page 2

STOP

Name Date


Chapter 9Pretest

continuedDivide. Check your answers.

13. 4��3�,1�2�2� 14. 6��$�0�.9�6� 15. $5.07 � 3 �

16. 7��$�2�8�.5�6� 17. 6��$�2�3�0�.5�2� 18. $65.52 � 9 �

Solve.

19. Mike is thinking of a number. He adds 1 to the number, thendivides by 3, then subtracts 2, and finally multiplies by 4. Theresult is 28. What number is Mike thinking of?

20. In the computer club, there are twice as many fifth-gradersas third-graders. There are 5 fewer fourth-graders than fifth-graders. If there are 10 third-graders, how many fourth-graders are there?

4A09L3 7/8/05 8:47 AM Page 3

Copyright © Houghton Mifflin Company. All rights reserved. Use with text pages 228–229.

Reteach9.1

Divide the hundreds. Divide the tens. Divide the ones.

154��6�3�5��4�

23�20↓�

35

Three-Digit Quotients

14�6�3�5��4↓�23

Find 6 � 4.Find 1 � 4.Find 6 � 4.Compare 2 and 4.Bring down 3.


Find 35 � 4.Find 8 � 4.Find 35 � 32.Compare 3 and 4.Remainderis 3.

158 R34�6�3�5�� 4�

23� 20��

35� 32��

3

Name Date

Find 635 � 4.

Divide. Check your answers.

1. 3�3�6�3� 2. 4�6�2�8� 3. 2�3�2�7� 4. 3�4�7�0�

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

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

13. 2�4�3�4� 14. 4�5�3�5� 15. 5�6�8�6� 16. 6�8�0�2�

4R09L1 1/28/04 4:21 PM Page 1

Name Date


Practice9.1

Three-Digit QuotientsDivide. Check your answers.

1. 6�6�9�2� 2. 4�4�9�8� 3. 2�7�8�3� 4. 7�8�0�1�

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

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

13. 428 � 3 14. 543 � 4 15. 945 � 5 16. 674 � 6

Test Prep

17. 3�5�3�8�

A 112 C 172 R2B 119 D 179 R1

18. Anna used 635 beads to make 5bracelets. She put the same number ofbeads on each bracelet. How manybeads did each bracelet have?

76274-C-09-L1-L6 2/6/03 4:51 PM Page 1

Name Date

Division JokesterSolve each division problem. Use the letter for each answer to complete the joke.


Enrichment9.1

1. 626 � 2 � A 2. 854 � 7 � O

3. 784 � 4 � C 4. 833 � 7 � S

5. 744 � 3 � E 6. 864 � 6 � T

7. 852 � 2 � L 8. 471 � 3 � U

9. 813 � 3� M 10. 846 � 3 � W

11. 648 � 4 � N 12. 565 � 5 � Y

What did the one calculator say to the other calculator?

271 248

196 122 157 162 144 122 162

313 426 282 313 113 119

113 122 157 196 313 162

76274-E-09-L1-L6 2/12/03 6:23 PM Page 1

Name Date


ProblemSolving

9.1Three-Digit QuotientsSolve.

1. Joy has 665 photos in an album. Thereare 5 photos on each page. How manypages are in Joy’s photo album?

2. Carmella has 338 photos to put into analbum. How many pages will she fill ifshe places 3 photos on each page?How many photos will she have leftover?

3. Mr. Clark has 408 feet of string. Heevenly divides the string into 4-footpieces. How many pieces will hemake? How much string will he haveleft over?

4. In art class, the students made beadednecklaces. They used 884 beads andhad 12 beads left over. The teacherhad bought 8 packs of beads. Howmany beads were in each pack?

5. Write About It The Gerard family drove 920 miles in 3days. They drove the same number of miles the first 2 daysand then drove 50 miles the third day. Explain how to findthe number of miles they drove each day.

Show your work.

76274-P-09-L1-L6 2/12/03 1:53 PM Page 1

Name Date



Homework9.1

Problem Solving

17. Mary has 456 baseball cards in hercollection. She can fit 4 cards on apage. How many pages will she fill inher album?

1. 2�6�3�6� 2. 4�5�0�7�

3. 6�7�3�5� 4. 5�6�1�9�

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

9. 3�7�0�5� 10. 8�9�4�2� 11. 8�9�8�7� 12. 7�9�4�5�

13. 4�7�3�8� 14. 6�8�7�4� 15. 3�6�7�2� 16. 2�7�3�5�

Rememberthe steps:• Divide.• Multiply.• Subtract.• Compare.• Bring down.

182R13�5�4�7��3↓�

24�24↓�

07� 6�

1

4H09L1 6/29/05 4:33 PM Page 1

Name Date


EnglishLearners

9.1

Write fair or fare to complete each sentence.

1. The rules were not , so Rick stopped playing the game.

2. The at the hotel was very tasty.

3. Nina paid the to the driver and then found a seat on the bus.

4. Nori won a prize for his strawberries at the county .

5. Alma painted a picture of a brave warrior and a maiden.

6. The judge made a decision.

7. The ballplayers had hoped for skies, but instead a storm came in.

8. Sari is a good soccer player but only a basketball player.

Three-Digit QuotientsIn English, some words sound the same but are spelleddifferently and have different meanings. Read thedictionary entries below.

fair adjective 1. pleasant to look at: a fair maiden. 2. free of cloudsor storms: a fair sky. 3. showing honesty: a fair judgment. 4. neithergood nor bad: The movie was only fair.

fair noun 1. a gathering for buying and selling things. 2. a largeexhibition, often with games and rides.

fare noun 1. the money a passenger pays. 2. food and drink.

G4ELL091 7/23/05 2:52 PM Page 1


Reteach9.2

Step 1: Check thehundreds.Because 3 � 4,there are notenough hundreds.

4�3�3�6�↑

Step 2: Check the tens.Because 33 � 4,place first digit intens place. Dividethe tens.

Step 3: Divide the ones.

844�3�3�6��32↓�

16�16�

0

84�3�3�6�� 32��

1

Place the First Digit of the Quotient

Name Date

336 � 4 � �


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

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

9. 197 � 4 10. 132 � 6 11. 483 � 5 12. 326 � 4

13. 234 � 3 14. 357 � 4 15. 475 � 5 16. 538 � 6

4R09L2 7/5/05 9:24 AM Page 2

Name Date


Practice9.2

Place the First Digit of the Quotient Divide. Check your answers.

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

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

9. 6�5�8�9� 10. 2�1�8�6� 11. 4�2�8�8� 12. 8�6�4�9�

13. 275 � 3 14. 492 � 5 15. 598 � 6 16. 276 � 4

Test Prep

17. 5�4�5�8�

A 90 R2 C 114B 91 R3 D 89

18. Jake took a total of 144 pictures ofinsects with 6 rolls of film. Each rollcontained the same number ofpictures. How many pictures did Jaketake with each roll?

4P09L2 7/23/05 12:40 PM Page 2

Hints: The letter R means remainder and is not part of the code.Zeros can be found where a letter is subtracted from itself, and atthe bottom of the subtraction when there is no remainder. Theletter M stands for 1, the letter I stands for 2, and the letter Lstands for 3.

0 1 2 3 4 5 6 7 8 9

Name Date


Enrichment9.2

Code BreakerDetective Divide has asked your help on a secret mission. Hewas given these math problems that are in some secret code.He knows that in the division problems, each letter stands fora digit. The same letter stands for the same digit in everyproblem. Your job is to solve each division problem and breakthe code. When you are finished, read the letters in order from0–9 to find a secret message. Good Luck!

D LL ��I M Y� I M

Y� Y

S

M M I R IT ��T O I� T

O� T

M I� M S

I

D MO��E I O� E I

O� O

S

M M Y RLD��A L O� D

M L� D

O O� O L

L

M D A R IE��D M E� E

L M� I A

L E� L I

E I LI ��A E O

� AE

� EO

� OS

1. 2. 3.

6.5.4.

4E09L2 7/25/05 12:54 PM Page 2

Name Date


ProblemSolving

9.2Place the First Digit of the QuotientUse the data in the table for Problems 1–4.

1. In the video store, there are 4 rows ofshelves for horror movies. If there arethe same number of movies in eachrow, how many horror movies are ineach row?

2. Half of the action movies are on DVDand the other half are on VHS. Howmany action DVDs does the video storehave?

3. How many shelves are needed for theNew Releases if each shelf holds 8videos?

4. Allen sorts the comedy movies into 6equal sections. How many movies doeshe have left over?

Video Store Movies

Comedy

Drama

Action

Horror

New Releases

512

378

456

392

425

5. Reasoning A three-digit number is divided by a one-digitnumber. The quotient is a two-digit number. What can yousay about the dividend and divisor? Give an example of thissituation.

Show your work.

4P09L2 7/25/05 11:20 AM Page 2

Name Date



Homework9.2

Problem Solving

17. Carlos bought a large pack of 176stickers. There are 8 sheets of stickersin the pack. Each sheet contains thesame number of stickers. How manystickers are on each sheet?

1. 2�1�5�8� 2. 5�3�7�5�

3. 3�1�6�4� 4. 9�1�2�5�

5. 4�1�8�5� 6. 6�5�6�0� 7. 2�1�4�3� 8. 6�4�1�6�

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

13. 215 � 5 14. 138 � 3 15. 163 � 2 16. 275 � 3

Rememberthe steps:• Estimate to

place the firstdigit.

• Divide the tens.• Bring down the

ones.• Divide the ones.

5�4�8�3��45↓�

33�30�

3

96 R3

4H09L2 2/22/06 8:28 AM Page 2

Write an expression from the box to complete each sentence.

1. Reyna told her noisy little brother that she wanted to be

.

2. After giving everyone an orange, Wilson had 3 oranges .

3. Cammie cared for 2 cats by a family that moved to Ohio.

4. A child of a game usually feels sad.

5. Jan discovered that she had the sunglasses she needed for her vacation.

6. The sentence did not make sense because

a word had been .

7. Khalid likes to be when he does his math homework.

8. When Penny put her photos into 5 groups of the

same size, she had 3 photos .

Name Date


EnglishLearners

9.2Place the First Digit of the QuotientThe word left is the form of leave used to talk about thepast. Left is used in several expressions with specialmeanings. Read these definitions.

left over not used; remaining left behind not taken on a trip

left out not included left alone not bothered

left over left out left behind left alone

This storewill at5 P.M.

G4ELL092 8/3/05 6:54 PM Page 2


Reteach9.3

Estimate. Then divide.

1. 3�$�6�.4�2� 2. 2�$�5�.3�2� 3. 5�$�3�.8�0� 4. 3�$�8�.3�4�

5. 4�$�5�.4�0� 6. 7�$�9�.7�3� 7. 2�$�5�.3�8� 8. 6�$�7�.6�8�

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

13. 2�$�0�.9�8� 14. 3�$�1�.6�5� 15. 4�$�0�.5�6� 16. 5�$�9�.8�5�

Divide the dollars. Divide the dimes. Divide the pennies.

$1.395�$�6�.9�5�

�5↓�

19�15↓�

45�45�

0

1 35�$�6�.9�5�

�5↓�

19�15�4

15�$�6�.9�5��5�

1

Divide Money

Place thedollarsign andthedecimalpoint inthequotient.

Name Date

Find $6.95 � 5.

4R09L3 6/30/05 5:01 PM Page 3

Name Date


Practice9.3

Divide Money Estimate. Then divide.

1. 5�$�5�.6�5� 2. 2�$�4�.3�2� 3. 3��$�0�.7�8� 4. 4�$�5�.1�6�

5. 6�$�8�.4�6� 6. 2�$�5�8� 7. 7�$�9�.3�8� 8. 6�$�0�.9�6�

9. 4�$�7�.5�2� 10. 5�$�7�.8�0� 11. 2�$�4�.2�8� 12. 6�$�8�.4�6�

13. $6.85 � 5 14. $7.36 � 4 15. $0.78 � 3 16. $7.98 � 6

Test Prep

17. 3�$�9�.7�5�

A $3.00 C $3.25B $6.45 D $4.50

18. Mark and his friend paid $8.98 forlunch. They evenly split the lunch billbetween them. How much did eachpay for lunch?

4P09L3 7/1/05 1:02 PM Page 3

1. At which stores should Edwin buy each item?

2. How much will Edwin spend on school supplies?

3. Does Edwin have enough left over to buy the baseball hat? Explain.

Name Date


Enrichment9.3

Bargain ShoppingEdwin has $20 to spend on school supplies. If he has enoughmoney left over after he buys the supplies he needs, he can buy abaseball hat. There are three stores where Edwin can shop. Belowis a list of the supplies Edwin needs, advertisements from each ofthe three stores, and the baseball hat that he wants to buy.

Help Edwin decide at which store he should buy each itemso that he spends the least amount of money. Then decide ifEdwin has enough money left over to buy the baseball hat.

Hint: If a store sells 3 pencils, for $3.00, Edwin can buy 1 pencil at that store for $1.00.

Paper, Pens, Etc.

6 pencils for $4.56

4 pens for $4.44

4 notebooks for $4.60

6 markers for $4.50

3 packs of paper for $4.02

4E09L3 3/7/06 4:01 PM Page 3

Name Date


ProblemSolving

9.3Divide MoneySolve.

1. At the grocery store, Jack bought 3boxes of cereal for $9.96. If each boxcost the same amount, how much dideach box of cereal cost?

2. Heidi bought a bag of oranges for$4.69. There were 7 oranges in thebag. How much did each orange cost?

3. A 5-lb bag of potatoes costs $5.65.What is the price per pound for thepotatoes?

4. Multistep Gus bought 8 cans of catfood and a cat toy for $8.73. The cattoy cost $2.49. How much did eachcan of cat food cost?

5. You Decide Which store has the betterdeal? Explain.

Toys and Everything Sticker Mania

8 stickers for $2.32 6 stickers for $1.62

Show your work.

4P09L3 7/23/05 9:39 AM Page 3

1. 2�$�5�.1�2� 2. 3�$�6�.5�1�

3. 5�$�6�.4�5� 4. 3�$�5�.1�3�

5. 4�$�6�.4�8� 6. 7�$�9�.3�8� 7. 3�$�1�.6�5� 8. 6�$�5�.8�8�

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

13. $5.08 � 4 14. $1.83 � 3 15. $2.94 � 2 16. $5.82 � 3

Name Date Homework9.3

Divide Money Divide. Check your answers.

Problem Solving

17. Ramon bought 4 glasses of lemonadefor his family. He paid $3.56 for all 4glasses. What was the price for oneglass of lemonade?

Rememberthe steps:• Divide as

you do with wholenumbers.

• Place thedollar sign and thedecimalpoint in thequotient.

$2.783�$�8�.3�4�

�6↓�

23�21↓�

24�24�

0


4H09L3 6/29/05 4:33 PM Page 3

Name Date


EnglishLearners

9.3

Use words from the box to fill the blanks.

Iris and Sari must divide $3.90 evenly.

1. First, they the amount each of them will get.

2. Next, they write the numbers as a division problem.

They $3.90 by 2.

3. After that, they write a to the left of the quotient.

4. Then they place a above the decimal point in the dividend.

5. Finally, they check the quotient against their estimate to make

sure the answer is .

Divide MoneyRead this information.

Jorge and Scott must divide $1.80 evenly.

First they estimate the answer. $1.80 is close to $2.00. $2.00 divided by 2 equals $1.00. Each boy will get about one dollar.

Next, they divide as if they were dividing whole numbers.

Then they write the dollar sign to the left of the answer, and put a decimal point above the decimal point in the dividend.

The answer is 90 cents. That is close to the estimate of 1 dollar, so it is a reasonable answer.

$.902�$�1�.8�0�

902�$�1�.8�0�

Use with text pages 234–237.

divide dollar sign decimal point reasonable estimate

G4ELL093 7/26/05 3:10 PM Page 3


Reteach9.4

Divide the hundreds. Bring down the tens.Divide the tens.

Bring down the ones.Divide the ones.

107 R45�5�3�9��5↓�

03�0↓�

39�35�

4

105�5�3�9��5↓�

03�0�

3

15�5�3�9��5�

0

Zeros in the Quotient

Multiply.1 � 5 � 5

Subtract.5 � 5 � 0

Compare.0 � 5



Compare.3 � 5



Compare.4 � 5

Write theremainder.

Name Date


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

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

9. 3�9�2�0� 10. 2�4�1�0� 11. 5�5�4�8� 12. 4�8�3�5�

13. 6�6�5�4� 14. 8�7�2�3� 15. 7�7�4�5� 16. 3�3�0�7�

539 � 5 � �

76274-R-09-L1-L6 2/12/03 9:26 AM Page 4

Name Date


Practice9.4

Zeros in the QuotientDivide. Check your answers.

1. 4�8�1�2� 2. 2�2�0�4� 3. 7�7�4�9� 4. 6�4�2�1�

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

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

13. 143 � 7 14. 543 � 5 15. 212 � 3 16. 945 � 9

Test Prep

17. 3�3�2�0�

A 101 R2 C 121B 106 R2 D 117

18. During one 8-hour period, 824 peoplevisited the whale exhibit. What was theaverage number of visitors per hour onthis day?

76274-C-09-L1-L6 2/6/03 4:51 PM Page 4

Name Date


Enrichment9.4

Match GameMatch the division problem on the left with the correctquotient on the right.

1. 945 � 9 a. 305 R2

2. 615 � 3 b. 70 R1

3. 415 � 2 c. 104

4. 281 � 4 d. 105

5. 917 � 3 e. 205

6. 562 � 8 f. 407

7. 243 � 6 g. 207 R1

8. 728 � 7 h. 103

9. 824 � 8 i. 70 R2

10. 534 � 5 j. 209

11. 814 � 2 k. 106 R4

12. 627 � 3 l. 40 R3

76274-E-09-L1-L6 2/12/03 6:23 PM Page 4

Name Date


ProblemSolving

9.4Zeros in the QuotientSolve.

1. The fourth-grade class is taking a tripto the aquarium. There are 240 peoplegoing on the trip and they are taking 4buses. How many people are on eachbus?

2. For the dolphin show, 612 people satin each section. If there are 6 rows ineach section, how many people sat ineach row?

3. Mrs. Garrett purchased 3 photos at theaquarium. She paid a total of $6.15.How much did each photo cost?

4. Mark displayed 850 postcards evenlyon 8 racks. He placed the leftovercards on the counter. How many cardsare on each rack and how many are onthe counter?

5. Reasoning Mr. Laraket bought 6 pencils for $5.28. Withoutdividing, can you tell if each pencil cost more or less than$1.00? Explain your answer.

Show your work.

76274-P-09-L1-L6 2/12/03 1:53 PM Page 4

Name Date


Homework9.4

1. 2�6�1�2� 2. 5�5�4�3�

3. 6�6�5�5� 4. 4�8�1�6�

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

9. 3�9�2�1� 10. 2�4�1�7� 11. 5�3�5�3� 12. 4�4�1�9�

13. 512 � 5 14. 735 � 7 15. 101 � 2 16. 622 � 3


Problem Solving

17. The sea lion show at the zoo has sixshows each day. In one day, 654people saw the sea lion show. Whatwas the average number of people ateach show?

208 R23�6�2�6��6↓�

02� 0↓��

026� 24��

2

Rememberthe steps:• Decide where to

place the first digit.• Bring down the tens.

Divide the tens.• Bring down the

ones. Divide theones.

4H09L4 2/22/06 8:29 AM Page 4

Name Date


EnglishLearners

9.4

Complete the crossword puzzle. Use the words in bold type above.

Zeros in the QuotientRead these definitions.

whale watch a trip to try to see whales

tour a trip to see certain places or things

tour manager a person who organizes tours

binoculars special glasses that let you see things that are far away

tourist a person who travels to a place to seeinteresting things

Across

3. an instrument used to view farawaythings

5. a woman or man who sets up trips tointeresting places

Down

1. a voyage in search of huge oceananimals

2. someone who goes somewhere to lookat the sights

4. a journey to interesting places

1

5

4

3

2

G4ELL094 8/3/05 6:54 PM Page 4

Problem-Solving Strategy:Work Backward


Reteach9.5

Read It Look for information.

Lisa is thinking of a number. She divides the number by 5, multiplies by 2, subtracts10, then adds 1. The result is 15. What is Lisa’s number?

Picture It Work backward to find the number.

Solve It Use the table to solve the problem.

1. Solve each of the steps. Fill in the answers in the table above.

2. is Lisa’s number.

15

Lisa’sresult

�1

Use the inverse ofaddition.

�10

Use the inverse ofsubtraction.

� 2

Use the inverse ofmultipli-cation.

� 5

Use the inverse ofdivision.

Lisa’snumber

Show your work.3. On the soccer team, there are half asmany third-graders as fourth-graders.There are 4 more fifth-graders thanfourth-graders. If there are 12 third-graders, how many fifth-graders arethere?

4. Emma buys a magazine for $3.75, adrink for $1.25, and a pack of mintsfor $0.75. If she has $3.25 left over,how much money did she begin with?

Try These! Use the work backward strategy to solve.

Name Date

5. Jake rode his bike for 15 minutes to thestore, 20 minutes to his friend’s house,25 minutes to school, and 10 minutesback home. If he arrives home at 4:45,at what time did he leave?

4R09L5 2/23/06 2:23 PM Page 5

Name Date


Practice9.5

Problem-Solving Strategy:Work BackwardSolve.

1. David is thinking of a number. Hesubtracts 4, divides by 8, adds 3, andmultiplies by 2. The result is 10. Whatis David’s number?

2. On Sunday, Lars walked three times asfar as he did on Saturday. On Monday,Lars walked 3 more miles than onSunday. On Tuesday, Lars walked 2 less miles than on Monday. Larswalked 7 miles on Tuesday. How manymiles did Lars walk on Saturday?

3. On a soccer team there are half asmany fourth-graders as fifth-graders.There are 5 fewer sixth-graders thanfifth-graders. If there are 9 sixth-graders, how many fourth-graders arethere?

4. Louis is buying supplies to play asoccer game in the park. The shinguards cost ten dollars less than theball does. The soccer ball costs half asmuch as the shoes do. The shoes cost$66. How much do the shin guardscost?

5. Rachael is thinking of a number. Sheadds 7, multiplies by 3, subtracts 5, and divides by 2. The result is 29.What is Rachael’s number?

Show your work.

4C09L5 2/22/06 5:43 PM Page 5

Name Date


Enrichment9.5

Problem-Solving Strategy:Work BackwardRead each problem and use a problem-solving strategy toanswer each question.

Problem For the Fourth of July celebration, Balloon Emporiumsold red, white, blue, and silver balloons. The store sold 13 moreblue balloons than white balloons. The number of silver balloonswas half the number of red balloons. One more red balloon wassold than blue balloons. The store sold 38 silver balloons.

1. How many red balloons were sold? Explain how you found your answer.

2. How many blue balloons were sold? Explain how you found your answer.

3. How many white balloons were sold? Explain how you found your answer.

4. What if? How would each of the amounts change if thenumber of silver balloons sold was 46 instead of 38?

Problem Rosalyn, Mark, Sylvia, Rick, and Jacob are cousins.Rosalyn is twice the age of Mark. Mark is 2 years older than Sylvia.Rick is 5 years older than Jacob. Sylvia is 6 years younger than Rick.

5. If you know that all the cousins are between the ages of 1and 17, what are their possible ages? Explain how you foundyour answer.

6. If Rosalyn is 18 and the oldest of the five cousins, how old isJacob? Explain how you found your answer.

4E09L5 2/22/06 7:49 AM Page 5

Name Date


ProblemSolving

9.5Problem-Solving Strategy: Work BackwardProblem Gregory collects animal trading cards. In hiscollection, he has twice as many cards of dogs as cards ofcats. He has 5 more cards of cats than of birds. The number ofcards of wild animals is 13 more than the number of cards ofdogs in his collection. He has 75 cards of wild animals. Howmany cards of birds are in Gregory’s collection?

2. How can you use the Work Backward strategy to solve the problem?

1. What type and quantity of cards do you know from the problem?

3. How many cards of birds are in Gregory’s collection?

4. Write About It How can you check your answer?

4P09L5 2/22/06 7:32 PM Page 5

1. Julian is thinking of a number. Hesubtracts 23, divides by 3, adds 4, andmultiplies by 2. The result is 14. Whatis Julian’s number?

Think: What is the first operation I doto work backward?

2. Blair bought art supplies. The paintscost four times as much as thebrushes, which cost half of what thecanvas cost. The canvas cost $36. Howmuch did the paints cost?

Name Date


Homework9.5

Problem-Solving Strategy: Work BackwardSolve.

On Friday Chris drove his car four times as far as he drove on Saturday. OnSaturday, he drove 8 fewer miles than on Sunday. On Monday, he drove 3 moremiles than on Sunday. Chris drove 12 miles on Monday. How many miles didChris drive on Friday?

Work backward to solve.

Monday � 12 miles

Sunday � 3 fewer than Monday � 12 � 3 � 9 miles

Saturday � 8 fewer than Sunday � 9 � 8 � 1 mile

Friday � 4 times as far as Saturday � 1 � 4 � 4 miles

Chris drove 4 miles on Friday.

Show your work.

4H09L5 2/22/06 8:29 AM Page 5

Name Date


EnglishLearners

9.5

Solve the riddles. Use the words in bold type above.

1. My name might make you think I am all white, but I am brightly colored. I am

an .

2. I never eat anything, but I am full of fish. I am an .

3. We are fish that like nice warm water, but we do not like to take baths.

We are .

4. The beginning of my name makes me sound like a tree. The end of my name makes me sound like a monster. I look like a plant, but I am a sea animal. I am

a .

5. My name makes me sound like you could spread me on toast. I don’t come in a jar,

though. I live in the ocean. I am a .

6. My name makes me sound like something you would see in the sky, but the place

to find me is at the beach. I am a .

Problem-Solving Strategy: Work BackwardLook at the pictures. Read the descriptions.

An aquarium is a place Tropical fish are fish that Jellyfish are sea animals where you can see all live in warm parts of the with bodies you can see kinds of fish. ocean. through.

A leafy sea dragon is a A starfish is a star-shaped An angelfish is a small sea animal that is animal that lives at the colorful tropical fish.related to sea horses. edge of the ocean.

G4ELL095 2/22/06 7:39 AM Page 5


Reteach9.6


1. 5�5�,9�4�0� 2. 2�1�,2�9�5� 3. 5�7�,8�5�4� 4. 3�1�0�,3�9�5�

5. 4�1�,2�0�8� 6. 7�9�,4�8�1� 7. 2�1�2�,0�1�5� 8. 6�$�6�,1�8�6�

9. 4,532 � 3 10. $5,648 � 2 11. $45.35 � 5 12. 12,728 � 4

13. 5,490 � 9 14. 3,370 � 5 15. 3,759 � 3 16. 40,014 � 6

Step 1: Dividethousandsif possible.Because3 � 4,there arenotenoughthousands.

4�3�,1�5�8�

Step 2: Convertthousandstohundreds.Divide thehundreds.

Step 3: Bringdown thetens.Divide thetens.

Step 4: Bringdown theones.Divide theones.

789 R24�3�,1�5�8��28↓

��35

�32↓�

38�36�

2

784�3�,1�5�8��28↓

��35

�32�

3

74�3�,1�5�8��2 8�

3

Divide Greater NumbersName Date

3,158 � 4 � �

4R09L6 6/30/05 5:01 PM Page 6

Name Date


Practice9.6

Divide Greater Numbers Use paper and pencil or a calculator to divide.

1. 4��3�,1�2�4� 2. 2��5�,3�1�7� 3. 3��$�2�,1�4�5� 4. 5��8�,6�2�8�

5. 2��1�,5�7�2� 6. 6��$�1�2�0�.9�0� 7. 8��3�,6�4�8� 8. 7��$�1�2�,3�4�8�

9. 9��7�,5�9�6� 10. 3��1�2�,4�5�6� 11. 5��1�1�,1�3�9� 12. 2��6�,3�0�7�

13. 56,138 � 6 14. 2,015 � 5 15. $685.16 � 7 16. 2,506 � 4

Test Prep

17. The cost of 3 airline tickets was$1,035. What was the cost per ticket?

A $310 C $305B $315 D $345

18. Joel keeps track of the number ofmiles he jogs. He jogs 4 miles eachday that he jogs. At the end of the yearJoel had jogged 1,284 miles. Howmany days did he jog that year?

4P09L6 7/1/05 1:02 PM Page 6

Name Date


Enrichment9.6

Greatest Quotient GameMaterials: cards labeled 0–9

paper bag or box

One or more players can play this game.

Rules for 1 Player

• Place the ten digit cards labeled 0–9 in a bag or box.

• On a piece of paper, copy the division problem below.

• Draw a card from the bag. Write this digit as either thedivisor or a digit in the dividend. Once you choose where toplace the digit, it can not be changed.

• Return the card to the bag.

• Continue choosing cards until all the squares in the divisionproblem are filled.

• Solve the division problem.

• Check to see if you can arrange the digits to give a greaterquotient. If not, you were successful. You got the greatestquotient!

Rules for 2 or More Players

• Follow the rules for 1 Player.

• Each player takes turns drawing a card from the bag to fill inhis or her division problem.

• The player with the greatest quotient wins.

1. How should you place the digits to try to have the greatestquotient? Explain.

4E09L6 6/30/05 1:45 PM Page 6

Name Date


ProblemSolving

9.6Divide Greater NumbersSolve.

1. An art museum hosted a Van Gogh artexhibition. On one day, 3,762 peopleattended. If the same number ofpeople attended each hour for 6 hours,how many people attended each hour?

2. Georgina bought 4 photos of paintingsby Van Gogh. She spent a total of$95.80. If each photo was the sameprice, how much did each photo cost?

3. A country produced 49,276 books inone year. If the same number of bookswas produced every 3 months, howmany books were produced every 3months? (Hint: 1 year � 4 groups of 3months)

4. Mrs. Kraus bought 7 books at thebookstore. She spent a total of $41.65.If each book was the same price, howmuch did each book cost?

5. Predict Karl read a book with 1,274 pages in 7 days. At thisrate, could he read a 1,432-page book in 8 days? Explainyour answer.

Show your work.

4P09L6 6/30/05 4:13 PM Page 6

Name Date


Homework9.6


Problem Solving

15. Tim bought a new computer for$1,248. He paid for the computer over6 months, making equal paymentseach month. How much did Tim payeach month for his computer?

Rememberthe steps:• Divide the thousands,

if possible.• Divide the hundreds.• Divide the tens. • Divide the ones.• Write the remainder.

Show your work.

1. 2�3�,4�6�3� 2. 5�1�1�,2�4�3�

3. 3�7�,1�2�0� 4. 4�3�,4�0�6�

5. 7�6�,4�9�5� 6. 2�5�,6�8�4�

Mental Math: Compare. Write ≥, ≤, or � for each �.

7. 600 � 3 � 800 � 4 8. 5,000 � 5 � 100 � 8

Algebra • Equations: Solve for n.

9. n � 9 � 600 10. $54.95 � 5 � n 11. 3,200 � n � 400

12. 8,000 � 8 � n 13. n � 7 � 30 14. (3,750 � 3) � 60 � n

871 R35��4�3�5�8��40�

35�35�

08�5�

3

4H09L6 6/29/05 4:34 PM Page 6

Name Date


EnglishLearners

9.6

Complete the sentences about the children.Use the words in bold type above.

1. Anthony is 5. Bakari is 11.

Bakari is Anthony.

2. Carla is 12. Debra is 6.

Debra is of Carla.

3. Erric is 8. Fred is 10.

They could play on a team for boys

.

4. Galya is 3. Hal is 12.

Hal is of Gayla.

5. Ingrid is 10. Lynn is 13.

They could play on a team for girls

.

6. Kyle is 7. Luisa is 14.

Luisa is of Kyle.

Divide Greater NumbersRead the meanings of these terms.

up to 10 years old ten years old or less

at least 10 years old 10 years old or more

twice the age the age multiplied by 2

4 times the age the age multiplied by 4

half the age the age divided by 2

6 years older than the age plus 6

G4ELL096 8/3/05 6:54 PM Page 6

Name Date


Chapter 9Test


1. 4��6�4�8� 2. 5��6�0�8� 3. 789 � 7 �

4. 6��3�7�2� 5. 7��6�7�8� 6. 208 � 4 �

7. 4��8�1�2� 8. 6��6�5�5� 9. 750 � 7 �

10. 3��7�,7�5�2� 11. 4��3�,7�4�2� 12. 3,456 � 9 �

Go on

76274-A-09-L1-L5 2/26/03 4:06 PM Page 4

STOP

Name Date


Chapter 9Test


13. 5��6�,2�3�4� 14. 8��$�0�.9�6� 15. $14.22 � 6 �

16. 9��$�4�5�.5�4� 17. 8��$�2�3�1�.4�4� 18. $63.45 � 9 �

Solve.

19. Megan is thinking of a number. She subtracts 3 from it, thenmultiplies by 2, then adds 10, and finally multiplies by 3. Theresult is 66. What number is Megan thinking of?

20. In the choir, there are twice as many altos as tenors. Thereare 3 more sopranos than tenors. If there are 20 altos, howmany sopranos are there?

4A09L5 6/30/05 1:38 PM Page 5

Copyright © by Houghton Mifflin Company. All rights reserved.

Permission is hereby granted to teachers to reprint or photocopy classroom quantities of the pages or sheets in this work that carry a HoughtonMifflin copyright notice. These pages are designed to be reproduced by teachers for use in their classes with accompanying Houghton Mifflin materi-al, provided each copy made shows the copyright notice. Such copies may not be sold, and further distribution is expressly prohibited. Except asauthorized above, prior written permission must be obtained from Houghton Mifflin Company to reproduce or transmit this work or portions thereof inany form or by any electronic or mechanical means, including any information storage or retrieval system, unless expressly permitted by federal copy-right law. Address inquiries to School Permissions, 222 Berkeley Street, Boston, MA 02116.

Printed in the U.S.A.

Booklet 9 of 25

Chapter Pretest (3 pages)

Resources for Lessons 9.1 – 9.6 (6 pages/lesson)• Reteach 9.1 – 9.6• Practice 9.1 – 9.6• Enrichment 9.1 – 9.6• Problem Solving 9.1 – 9.6• Homework 9.1 – 9.6• English Learners 9.1 – 9.6

Chapter Test (2 pages)

Chapter ResourcesGRADE 4, CHAPTER 9

Contents

Name Date


Chapter 9Pretest

Go on

Are You Ready?Divide. Check your answers.

1. 4��7�2� 2. 6��4�5� 3. 3��7�0�

4. 2��5�6� 5. 3��1�3� 6. 6��7�7�

7. 4�5�6� 8. 3��9�3� 9. 5�7�9�

Solve.

10. A number is divided by 4. What numbers could theremainder be?

18 7 R3 23 R1

28

18 � 4 � 72 7 � 6 � 4242 � 3 � 45

23 � 3 � 6969 � 1 � 70

4 R1 12 R5

14

1, 2, or 3

31 15 R4

4A09L1 7/8/05 8:47 AM Page 1

Name Date


Chapter 9Pretest

continuedCheck What You KnowDivide. Check your answers.

1. 3��6�4�2� 2. 6��7�0�4� 3. 597 � 5 �

4. 6��3�7�2� 5. 7��6�7�8� 6. 208 � 4 �

7. 3��6�0�9� 8. 4��4�1�3� 9. 545 � 5 �

10. 6��9�,8�3�4� 11. 3��2�,6�6�2� 12. 1,234 � 8 �

Go on

214 117 R2 119 R2

62 96 R6 52

203 103 R1 109

1,639 887 R1 154 R2

214 � 3 � 642

62 � 6 � 372 96 � 7 � 672672 � 6 � 678

203 � 3 � 609 103 � 4 � 412412 � 1 � 413

1,639 � 6 �9,834

154 � 8 � 1,2321,232 � 2 � 1,234

887 � 3 �2,6612,661 � 1 �2,662

109 � 5 � 545

52 � 4 � 208

117 � 6 � 702702 � 2 � 704

119 � 5 � 595592 � 2 � 597

76274-A-09-L1-L5 2/26/03 4:06 PM Page 2

STOP

Name Date


Chapter 9Pretest


13. 4��3�,1�2�2� 14. 6��$�0�.9�6� 15. $5.07 � 3 �

16. 7��$�2�8�.5�6� 17. 6��$�2�3�0�.5�2� 18. $65.52 � 9 �

Solve.

19. Mike is thinking of a number. He adds 1 to the number, thendivides by 3, then subtracts 2, and finally multiplies by 4. Theresult is 28. What number is Mike thinking of?

20. In the computer club, there are twice as many fifth-gradersas third-graders. There are 5 fewer fourth-graders than fifth-graders. If there are 10 third-graders, how many fourth-graders are there?

780 R2 $0.16 $1.69

$4.08

26

15 fourth-graders

$38.42 $7.28

7,80 � 4 �3,1203,120 � 2 �3,122

$0.16 � 6 �$0.96

$4.08 � 7 �$28.56

$38.42 � 6 �$230.52

$7.28 � 9 �$65.52

$1.69 � 3 �$5.07

4A09L3 7/8/05 8:47 AM Page 3


Reteach9.1

Divide the hundreds. Divide the tens. Divide the ones.

154��6�3�5��4�

23�20↓�

35

Three-Digit Quotients

14�6�3�5��4↓�23



Find 35 � 4.Find 8 � 4.Find 35 � 32.Compare 3 and 4.Remainderis 3.

158 R34�6�3�5�� 4�

23� 20��

35� 32��

3

Name Date

Find 635 � 4.


1. 3�3�6�3� 2. 4�6�2�8� 3. 2�3�2�7� 4. 3�4�7�0�

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

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

13. 2�4�3�4� 14. 4�5�3�5� 15. 5�6�8�6� 16. 6�8�0�2�

121 157 163 R1 156 R2

142 R1 134 R4 164 R1 115 R3

153 267 R1 129 R4 271 R1

217 133 R3 137 R1 133 R4

4R09L1 1/28/04 4:21 PM Page 1

Name Date


Practice9.1


1. 6�6�9�2� 2. 4�4�9�8� 3. 2�7�8�3� 4. 7�8�0�1�

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

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

13. 428 � 3 14. 543 � 4 15. 945 � 5 16. 674 � 6

Test Prep

17. 3�5�3�8�

A 112 C 172 R2B 119 D 179 R1

18. Anna used 635 beads to make 5bracelets. She put the same number ofbeads on each bracelet. How manybeads did each bracelet have?

115 R2 124 R2 391 R1 114 R3

214 142 R2 286 396 R1

151 R3 121 R2 137 R1 245

142 R2

D

135 R3 189 112 R2

127 beads

76274-C-09-L1-L6 2/6/03 4:51 PM Page 1

Name Date

Division JokesterSolve each division problem. Use the letter for each answer to complete the joke.


Enrichment9.1

1. 626 � 2 � A 2. 854 � 7 � O

3. 784 � 4 � C 4. 833 � 7 � S

5. 744 � 3 � E 6. 864 � 6 � T

7. 852 � 2 � L 8. 471 � 3 � U

9. 813 � 3� M 10. 846 � 3 � W

11. 648 � 4 � N 12. 565 � 5 � Y

What did the one calculator say to the other calculator?

271 248

196 122 157 162 144 122 162

313 426 282 313 113 119

113 122 157 196 313 162

313 122

196

248

119

144

157

282

113

426

271

162

Y O U C A N

A L W A Y S

C O

M E

U N OT N

76274-E-09-L1-L6 2/12/03 6:23 PM Page 1

Name Date


ProblemSolving

9.1Three-Digit QuotientsSolve.

1. Joy has 665 photos in an album. Thereare 5 photos on each page. How manypages are in Joy’s photo album?

2. Carmella has 338 photos to put into analbum. How many pages will she fill ifshe places 3 photos on each page?How many photos will she have leftover?

3. Mr. Clark has 408 feet of string. Heevenly divides the string into 4-footpieces. How many pieces will hemake? How much string will he haveleft over?

4. In art class, the students made beadednecklaces. They used 884 beads andhad 12 beads left over. The teacherhad bought 8 packs of beads. Howmany beads were in each pack?

5. Write About It The Gerard family drove 920 miles in 3days. They drove the same number of miles the first 2 daysand then drove 50 miles the third day. Explain how to findthe number of miles they drove each day.

Show your work.

112 pages; 2 photos left over

133 pages

102 pieces; no string left over

112 beads

To find the number ofmiles they drove each of the first two days,subtract 50 miles from the total number ofmiles, 920 miles (920 � 50 � 870). Thendivide 870 by 2.

76274-P-09-L1-L6 2/12/03 1:53 PM Page 1

Name Date



Homework9.1

Problem Solving

17. Mary has 456 baseball cards in hercollection. She can fit 4 cards on apage. How many pages will she fill inher album?

1. 2�6�3�6� 2. 4�5�0�7�

3. 6�7�3�5� 4. 5�6�1�9�

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

9. 3�7�0�5� 10. 8�9�4�2� 11. 8�9�8�7� 12. 7�9�4�5�

13. 4�7�3�8� 14. 6�8�7�4� 15. 3�6�7�2� 16. 2�7�3�5�

Rememberthe steps:• Divide.• Multiply.• Subtract.• Compare.• Bring down.

182R13�5�4�7��3↓�

24�24↓�

07� 6�

1

114 pages

235 117 R6 123 R3 135

184 R2 145 R4 224 367 R1

142 R2 171 R2 168 R2 135 R5

318 126 R3

122 R3 123 R4

4H09L1 6/29/05 4:33 PM Page 1

Name Date


EnglishLearners

9.1

Write fair or fare to complete each sentence.

1. The rules were not , so Rick stopped playing the game.

2. The at the hotel was very tasty.

3. Nina paid the to the driver and then found a seat on the bus.

4. Nori won a prize for his strawberries at the county .

5. Alma painted a picture of a brave warrior and a maiden.

6. The judge made a decision.

7. The ballplayers had hoped for skies, but instead a storm came in.

8. Sari is a good soccer player but only a basketball player.

Three-Digit QuotientsIn English, some words sound the same but are spelleddifferently and have different meanings. Read thedictionary entries below.

fair adjective 1. pleasant to look at: a fair maiden. 2. free of cloudsor storms: a fair sky. 3. showing honesty: a fair judgment. 4. neithergood nor bad: The movie was only fair.

fair noun 1. a gathering for buying and selling things. 2. a largeexhibition, often with games and rides.

fare noun 1. the money a passenger pays. 2. food and drink.

fair

fare

fare

fair

fair

fair

fair

fair

G4ELL091 7/23/05 2:52 PM Page 1


Reteach9.2

Step 1: Check thehundreds.Because 3 � 4,there are notenough hundreds.

4�3�3�6�↑

Step 2: Check the tens.Because 33 � 4,place first digit intens place. Dividethe tens.

Step 3: Divide the ones.

844�3�3�6��32↓�

16�16�

0

84�3�3�6�� 32��

1

Place the First Digit of the Quotient

Name Date

336 � 4 � �


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

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

9. 197 � 4 10. 132 � 6 11. 483 � 5 12. 326 � 4

13. 234 � 3 14. 357 � 4 15. 475 � 5 16. 538 � 6

94 89 R2 87 R1 94 R1

83 R3 74 94 R1 97 R1

49 R1 22 96 R3 81 R2

78 89 R1 95 89 R4

4R09L2 7/5/05 9:24 AM Page 2

Name Date


Practice9.2


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

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

9. 6�5�8�9� 10. 2�1�8�6� 11. 4�2�8�8� 12. 8�6�4�9�

13. 275 � 3 14. 492 � 5 15. 598 � 6 16. 276 � 4

Test Prep

17. 5�4�5�8�

A 90 R2 C 114B 91 R3 D 89

18. Jake took a total of 144 pictures ofinsects with 6 rolls of film. Each rollcontained the same number ofpictures. How many pictures did Jaketake with each roll?

85 R3 81 R2 79 R1 92 R1

55 59 R3 97 76 R6

98 R1 93 72 81 R1

91 R2

B

98 R2 99 R4 69

24 pictures

4P09L2 7/23/05 12:40 PM Page 2

Hints: The letter R means remainder and is not part of the code.Zeros can be found where a letter is subtracted from itself, and atthe bottom of the subtraction when there is no remainder. Theletter M stands for 1, the letter I stands for 2, and the letter Lstands for 3.

0 1 2 3 4 5 6 7 8 9

Name Date


Enrichment9.2

Code BreakerDetective Divide has asked your help on a secret mission. Hewas given these math problems that are in some secret code.He knows that in the division problems, each letter stands fora digit. The same letter stands for the same digit in everyproblem. Your job is to solve each division problem and breakthe code. When you are finished, read the letters in order from0–9 to find a secret message. Good Luck!

S M I L E T O D A Y

D LL ��I M Y� I M

Y� Y

S

M M I R IT ��T O I� T

O� T

M I� M S

I

D MO��E I O� E I

O� O

S

M M Y RLD��A L O� D

M L� D

O O� O L

L

M D A R IE��D M E� E

L M� I A

L E� L I

E I LI ��A E O

� AE

� EO

� OS

1. 2. 3.

6.5.4.

219 � 3 �73

836 � 7 �119 R3

714 � 4 �178 R2

562 � 5 �112 R2

846 � 2 �423

426 � 6 �71

4E09L2 7/25/05 12:54 PM Page 2

Name Date


ProblemSolving

9.2Place the First Digit of the QuotientUse the data in the table for Problems 1–4.

1. In the video store, there are 4 rows ofshelves for horror movies. If there arethe same number of movies in eachrow, how many horror movies are ineach row?

2. Half of the action movies are on DVDand the other half are on VHS. Howmany action DVDs does the video storehave?

3. How many shelves are needed for theNew Releases if each shelf holds 8videos?

4. Allen sorts the comedy movies into 6equal sections. How many movies doeshe have left over?

Video Store Movies

Comedy

Drama

Action

Horror

New Releases

512

378

456

392

425

5. Reasoning A three-digit number is divided by a one-digitnumber. The quotient is a two-digit number. What can yousay about the dividend and divisor? Give an example of thissituation.

Show your work.

98 horror movies

228 action DVDs

54 shelves

2 comedy movies

The hundreds digit of the dividend is lessthan the divisor. 510 � 6 � 85.

4P09L2 7/25/05 11:20 AM Page 2

Name Date



Homework9.2

Problem Solving

17. Carlos bought a large pack of 176stickers. There are 8 sheets of stickersin the pack. Each sheet contains thesame number of stickers. How manystickers are on each sheet?

22 stickers

1. 2�1�5�8� 2. 5�3�7�5�

3. 3�1�6�4� 4. 9�1�2�5�

5. 4�1�8�5� 6. 6�5�6�0� 7. 2�1�4�3� 8. 6�4�1�6�

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

13. 215 � 5 14. 138 � 3 15. 163 � 2 16. 275 � 3

Rememberthe steps:• Estimate to

place the firstdigit.

• Divide the tens.• Bring down the

ones.• Divide the ones.

5�4�8�3��45↓�

33�30�

3

43 46 81 R1 91 R2

61 R1 89 R1 69 R3 81 R2

46 R1 93 R2 71 R1 69 R2

79 75

54 R2 13 R8

96 R3

4H09L2 2/22/06 8:28 AM Page 2

Write an expression from the box to complete each sentence.

1. Reyna told her noisy little brother that she wanted to be

.

2. After giving everyone an orange, Wilson had 3 oranges .

3. Cammie cared for 2 cats by a family that moved to Ohio.

4. A child of a game usually feels sad.

5. Jan discovered that she had the sunglasses she needed for her vacation.

6. The sentence did not make sense because

a word had been .

7. Khalid likes to be when he does his math homework.

8. When Penny put her photos into 5 groups of the

same size, she had 3 photos .

Name Date


EnglishLearners

9.2Place the First Digit of the QuotientThe word left is the form of leave used to talk about thepast. Left is used in several expressions with specialmeanings. Read these definitions.

left over not used; remaining left behind not taken on a trip

left out not included left alone not bothered

left aloneleft over

left behindleft out

left behind

left out

left alone

left over left out left behind left alone

left over

This storewill at5 P.M.

G4ELL092 8/3/05 6:54 PM Page 2


Reteach9.3


1. 3�$�6�.4�2� 2. 2�$�5�.3�2� 3. 5�$�3�.8�0� 4. 3�$�8�.3�4�

5. 4�$�5�.4�0� 6. 7�$�9�.7�3� 7. 2�$�5�.3�8� 8. 6�$�7�.6�8�

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

13. 2�$�0�.9�8� 14. 3�$�1�.6�5� 15. 4�$�0�.5�6� 16. 5�$�9�.8�5�

Divide the dollars. Divide the dimes. Divide the pennies.

$1.395�$�6�.9�5�

�5↓�

19�15↓�

45�45�

0

1 35�$�6�.9�5�

�5↓�

19�15�4

15�$�6�.9�5��5�

1

Divide Money

Place thedollarsign andthedecimalpoint inthequotient.

Name Date

Find $6.95 � 5.

$2.14 $2.66 $0.76 $2.78

$1.35 $1.39 $2.69 $1.28

$0.44 $3.29 $17 $1.53

$0.49 $0.55 $0.14 $1.97

4R09L3 6/30/05 5:01 PM Page 3

Name Date


Practice9.3

Divide Money Estimate. Then divide.

1. 5�$�5�.6�5� 2. 2�$�4�.3�2� 3. 3��$�0�.7�8� 4. 4�$�5�.1�6�

5. 6�$�8�.4�6� 6. 2�$�5�8� 7. 7�$�9�.3�8� 8. 6�$�0�.9�6�

9. 4�$�7�.5�2� 10. 5�$�7�.8�0� 11. 2�$�4�.2�8� 12. 6�$�8�.4�6�

13. $6.85 � 5 14. $7.36 � 4 15. $0.78 � 3 16. $7.98 � 6

Test Prep

17. 3�$�9�.7�5�

A $3.00 C $3.25B $6.45 D $4.50

18. Mark and his friend paid $8.98 forlunch. They evenly split the lunch billbetween them. How much did eachpay for lunch?

$1.13 $2.16 $0.26 $1.29

$1.41 $29 $1.34 $0.16

$1.88 $1.56 $2.14 $1.41

$1.37

C

$1.84 $0.26 $1.33

$4.49

4P09L3 7/1/05 1:02 PM Page 3

1. At which stores should Edwin buy each item?

2. How much will Edwin spend on school supplies?

3. Does Edwin have enough left over to buy the baseball hat? Explain.

Name Date


Enrichment9.3

Bargain ShoppingEdwin has $20 to spend on school supplies. If he has enoughmoney left over after he buys the supplies he needs, he can buy abaseball hat. There are three stores where Edwin can shop. Belowis a list of the supplies Edwin needs, advertisements from each ofthe three stores, and the baseball hat that he wants to buy.

Help Edwin decide at which store he should buy each itemso that he spends the least amount of money. Then decide ifEdwin has enough money left over to buy the baseball hat.

Hint: If a store sells 3 pencils, for $3.00, Edwin can buy 1 pencil at that store for $1.00.

Paper, Pens, Etc.

6 pencils for $4.56

4 pens for $4.44

4 notebooks for $4.60

6 markers for $4.50

3 packs of paper for $4.02

For the best bargain,he should buy pencils and pens at Paper, Pens,Etc., notebooks and paper at Supplies Plus, andmarkers at the school store. $15.35

Yes; he has $4.65 left over.

4E09L3 3/7/06 4:01 PM Page 3

Name Date


ProblemSolving

9.3Divide MoneySolve.

1. At the grocery store, Jack bought 3boxes of cereal for $9.96. If each boxcost the same amount, how much dideach box of cereal cost?

2. Heidi bought a bag of oranges for$4.69. There were 7 oranges in thebag. How much did each orange cost?

3. A 5-lb bag of potatoes costs $5.65.What is the price per pound for thepotatoes?

4. Multistep Gus bought 8 cans of catfood and a cat toy for $8.73. The cattoy cost $2.49. How much did eachcan of cat food cost?

5. You Decide Which store has the betterdeal? Explain.

Toys and Everything Sticker Mania

8 stickers for $2.32 6 stickers for $1.62

Sticker Mania; The cost for 1 stickerat Toys and Everything is $0.29. Thecost for 1 sticker at Sticker Mania is$0.27. $0.27 is less than $0.29.

Show your work.

$0.67

$1.13

$3.32

$0.78

4P09L3 7/23/05 9:39 AM Page 3

1. 2�$�5�.1�2� 2. 3�$�6�.5�1�

3. 5�$�6�.4�5� 4. 3�$�5�.1�3�

5. 4�$�6�.4�8� 6. 7�$�9�.3�8� 7. 3�$�1�.6�5� 8. 6�$�5�.8�8�

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

13. $5.08 � 4 14. $1.83 � 3 15. $2.94 � 2 16. $5.82 � 3

Name Date Homework9.3

Divide Money Divide. Check your answers.

Problem Solving

17. Ramon bought 4 glasses of lemonadefor his family. He paid $3.56 for all 4glasses. What was the price for oneglass of lemonade?

$0.89

Rememberthe steps:• Divide as

you do with wholenumbers.

• Place thedollar sign and thedecimalpoint in thequotient.

$2.783�$�8�.3�4�

�6↓�

23�21↓�

24�24�

0

$1.27 $0.61 $1.47 $1.94

$1.42 $4.12 $19 $1.81

$1.62 $1.34 $0.55 $0.98

$2.56 $2.17

$1.29 $1.71


4H09L3 6/29/05 4:33 PM Page 3

Name Date


EnglishLearners

9.3

Use words from the box to fill the blanks.

Iris and Sari must divide $3.90 evenly.

1. First, they the amount each of them will get.

2. Next, they write the numbers as a division problem.

They $3.90 by 2.

3. After that, they write a to the left of the quotient.

4. Then they place a above the decimal point in the dividend.

5. Finally, they check the quotient against their estimate to make

sure the answer is .

Divide MoneyRead this information.

Jorge and Scott must divide $1.80 evenly.

First they estimate the answer. $1.80 is close to $2.00. $2.00 divided by 2 equals $1.00. Each boy will get about one dollar.

Next, they divide as if they were dividing whole numbers.

Then they write the dollar sign to the left of the answer, and put a decimal point above the decimal point in the dividend.

The answer is 90 cents. That is close to the estimate of 1 dollar, so it is a reasonable answer.

$.902�$�1�.8�0�

902�$�1�.8�0�

Use with text pages 234–237.

estimate

divide

dollar sign

decimalpoint

reasonable

divide dollar sign decimal point reasonable estimate

G4ELL093 7/26/05 3:10 PM Page 3


Reteach9.4

Divide the hundreds. Bring down the tens.Divide the tens.

Bring down the ones.Divide the ones.

107 R45�5�3�9��5↓�

03�0↓�

39�35�

4

105�5�3�9��5↓�

03�0�

3

15�5�3�9��5�

0

Zeros in the Quotient



Compare.0 � 5



Compare.3 � 5



Compare.4 � 5

Write theremainder.

Name Date


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

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

9. 3�9�2�0� 10. 2�4�1�0� 11. 5�5�4�8� 12. 4�8�3�5�

13. 6�6�5�4� 14. 8�7�2�3� 15. 7�7�4�5� 16. 3�3�0�7�

539 � 5 � �

106 R2 307 R1 106 107 R3

203 R1 80 R4 160 R1 104

306 R2 205 109 R3 208 R3

109 90 R3 106 R3 102 R1

76274-R-09-L1-L6 2/12/03 9:26 AM Page 4

Name Date


Practice9.4


1. 4�8�1�2� 2. 2�2�0�4� 3. 7�7�4�9� 4. 6�4�2�1�

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

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

13. 143 � 7 14. 543 � 5 15. 212 � 3 16. 945 � 9

Test Prep

17. 3�3�2�0�

A 101 R2 C 121B 106 R2 D 117

18. During one 8-hour period, 824 peoplevisited the whale exhibit. What was theaverage number of visitors per hour onthis day?

203 102 107 70 R1

104 R2 103 108 106 R2

60 R5 103 208 R3 305 R1

20 R3

B

108 R3 70 R2 105

103 visitors

76274-C-09-L1-L6 2/6/03 4:51 PM Page 4

Name Date


Enrichment9.4

Match GameMatch the division problem on the left with the correctquotient on the right.

1. 945 � 9 a. 305 R2

2. 615 � 3 b. 70 R1

3. 415 � 2 c. 104

4. 281 � 4 d. 105

5. 917 � 3 e. 205

6. 562 � 8 f. 407

7. 243 � 6 g. 207 R1

8. 728 � 7 h. 103

9. 824 � 8 i. 70 R2

10. 534 � 5 j. 209

11. 814 � 2 k. 106 R4

12. 627 � 3 l. 40 R3

d

e

g

b

a

i

l

c

h

k

f

j

76274-E-09-L1-L6 2/12/03 6:23 PM Page 4

Name Date


ProblemSolving

9.4Zeros in the QuotientSolve.

1. The fourth-grade class is taking a tripto the aquarium. There are 240 peoplegoing on the trip and they are taking 4buses. How many people are on eachbus?

2. For the dolphin show, 612 people satin each section. If there are 6 rows ineach section, how many people sat ineach row?

3. Mrs. Garrett purchased 3 photos at theaquarium. She paid a total of $6.15.How much did each photo cost?

4. Mark displayed 850 postcards evenlyon 8 racks. He placed the leftovercards on the counter. How many cardsare on each rack and how many are onthe counter?

5. Reasoning Mr. Laraket bought 6 pencils for $5.28. Withoutdividing, can you tell if each pencil cost more or less than$1.00? Explain your answer.

$2.05

102 people

60 people

106 postcards on each rack;2 cards on the counter

Less than $1.00. You can tell by looking atthe first digit: 6 is greater than 5, so the firstdigit will be placed in the tenths place andthe answer will be less than $1.00.

Show your work.

76274-P-09-L1-L6 2/12/03 1:53 PM Page 4

Name Date


Homework9.4

1. 2�6�1�2� 2. 5�5�4�3�

3. 6�6�5�5� 4. 4�8�1�6�

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

9. 3�9�2�1� 10. 2�4�1�7� 11. 5�3�5�3� 12. 4�4�1�9�

13. 512 � 5 14. 735 � 7 15. 101 � 2 16. 622 � 3


Problem Solving

17. The sea lion show at the zoo has sixshows each day. In one day, 654people saw the sea lion show. Whatwas the average number of people ateach show?

109 people

208 R23�6�2�6��6↓�

02� 0↓��

026� 24��

2

102 R2 105 50 R1 207 R1

307 208 R1 70 R3 104 R3

209 108 R6 406 R1 80 R5

306 108 R3

109 R1 204

Rememberthe steps:• Decide where to

place the first digit.• Bring down the tens.

Divide the tens.• Bring down the

ones. Divide theones.

4H09L4 2/22/06 8:29 AM Page 4

Name Date


EnglishLearners

9.4

Complete the crossword puzzle. Use the words in bold type above.

Zeros in the QuotientRead these definitions.

whale watch a trip to try to see whales

tour a trip to see certain places or things

tour manager a person who organizes tours

binoculars special glasses that let you see things that are far away

tourist a person who travels to a place to seeinteresting things

Across

3. an instrument used to view farawaythings

5. a woman or man who sets up trips tointeresting places

Down

1. a voyage in search of huge oceananimals

2. someone who goes somewhere to lookat the sights

4. a journey to interesting places

1

5

4

3

2

tou

touris

whale

watch

b i n c u l a r s

t o u r m a n g e r

G4ELL094 8/3/05 6:54 PM Page 4

Problem-Solving Strategy:Work Backward


Reteach9.5

Read It Look for information.

Lisa is thinking of a number. She divides the number by 5, multiplies by 2, subtracts10, then adds 1. The result is 15. What is Lisa’s number?

Picture It Work backward to find the number.

Solve It Use the table to solve the problem.

1. Solve each of the steps. Fill in the answers in the table above.

2. is Lisa’s number.

15

Lisa’sresult

�1

Use the inverse ofaddition.

�10

Use the inverse ofsubtraction.

� 2

Use the inverse ofmultipli-cation.

� 5

Use the inverse ofdivision.

Lisa’snumber

Show your work.3. On the soccer team, there are half asmany third-graders as fourth-graders.There are 4 more fifth-graders thanfourth-graders. If there are 12 third-graders, how many fifth-graders arethere?

4. Emma buys a magazine for $3.75, adrink for $1.25, and a pack of mintsfor $0.75. If she has $3.25 left over,how much money did she begin with?

Try These! Use the work backward strategy to solve.

Name Date

5. Jake rode his bike for 15 minutes to thestore, 20 minutes to his friend’s house,25 minutes to school, and 10 minutesback home. If he arrives home at 4:45,at what time did he leave? 3:35

14 24 12 60

60

28 fifth-graders

$9.00

4R09L5 2/23/06 2:23 PM Page 5

Name Date


Practice9.5

Problem-Solving Strategy:Work BackwardSolve.

1. David is thinking of a number. Hesubtracts 4, divides by 8, adds 3, andmultiplies by 2. The result is 10. Whatis David’s number?

2. On Sunday, Lars walked three times asfar as he did on Saturday. On Monday,Lars walked 3 more miles than onSunday. On Tuesday, Lars walked 2 less miles than on Monday. Larswalked 7 miles on Tuesday. How manymiles did Lars walk on Saturday?

3. On a soccer team there are half asmany fourth-graders as fifth-graders.There are 5 fewer sixth-graders thanfifth-graders. If there are 9 sixth-graders, how many fourth-graders arethere?

4. Louis is buying supplies to play asoccer game in the park. The shinguards cost ten dollars less than theball does. The soccer ball costs half asmuch as the shoes do. The shoes cost$66. How much do the shin guardscost?

5. Rachael is thinking of a number. Sheadds 7, multiplies by 3, subtracts 5, and divides by 2. The result is 29.What is Rachael’s number?

Show your work.

20

2 miles

7 fourth-graders

$23

14

4C09L5 2/22/06 5:43 PM Page 5

Name Date


Enrichment9.5

Problem-Solving Strategy:Work BackwardRead each problem and use a problem-solving strategy toanswer each question.

Problem For the Fourth of July celebration, Balloon Emporiumsold red, white, blue, and silver balloons. The store sold 13 moreblue balloons than white balloons. The number of silver balloonswas half the number of red balloons. One more red balloon wassold than blue balloons. The store sold 38 silver balloons.

1. How many red balloons were sold? Explain how you found your answer.

2. How many blue balloons were sold? Explain how you found your answer.

3. How many white balloons were sold? Explain how you found your answer.

4. What if? How would each of the amounts change if thenumber of silver balloons sold was 46 instead of 38?

Problem Rosalyn, Mark, Sylvia, Rick, and Jacob are cousins.Rosalyn is twice the age of Mark. Mark is 2 years older than Sylvia.Rick is 5 years older than Jacob. Sylvia is 6 years younger than Rick.

5. If you know that all the cousins are between the ages of 1and 17, what are their possible ages? Explain how you foundyour answer.

6. If Rosalyn is 18 and the oldest of the five cousins, how old isJacob? Explain how you found your answer.

76 red balloons; I found 38 � 2.

Explanations may vary.

75 blue balloons; I found 76 – 1.

62 white balloons; I found 75 – 13.

Rosalyn 16, Mark 8, Sylvia 6,Jacob 7, Rick 12

Possibleanswersgiven.

There would be 92 red, 78 white,91 blue, and 46 silver balloons.

8 years old; Explanations may vary.

4E09L5 2/22/06 7:49 AM Page 5

Name Date


ProblemSolving

9.5Problem-Solving Strategy: Work BackwardProblem Gregory collects animal trading cards. In hiscollection, he has twice as many cards of dogs as cards ofcats. He has 5 more cards of cats than of birds. The number ofcards of wild animals is 13 more than the number of cards ofdogs in his collection. He has 75 cards of wild animals. Howmany cards of birds are in Gregory’s collection?

2. How can you use the Work Backward strategy to solve the problem?

1. What type and quantity of cards do you know from the problem?

75 cards of wild animals

Begin with the number of cards of wildanimals and use inverse operations tofind the number of cards of birds.

3. How many cards of birds are in Gregory’s collection?

26 cards of birds

4. Write About It How can you check your answer?

Possible answer: Work forward fromthe number of cards of birds and seeif the number of cards of wild animalsequals 75.

4P09L5 2/22/06 7:32 PM Page 5

1. Julian is thinking of a number. Hesubtracts 23, divides by 3, adds 4, andmultiplies by 2. The result is 14. Whatis Julian’s number?

Think: What is the first operation I doto work backward?

2. Blair bought art supplies. The paintscost four times as much as thebrushes, which cost half of what thecanvas cost. The canvas cost $36. Howmuch did the paints cost?

Name Date


Homework9.5

32

$72

Problem-Solving Strategy: Work BackwardSolve.

On Friday Chris drove his car four times as far as he drove on Saturday. OnSaturday, he drove 8 fewer miles than on Sunday. On Monday, he drove 3 moremiles than on Sunday. Chris drove 12 miles on Monday. How many miles didChris drive on Friday?

Work backward to solve.

Monday � 12 miles

Sunday � 3 fewer than Monday � 12 � 3 � 9 miles

Saturday � 8 fewer than Sunday � 9 � 8 � 1 mile

Friday � 4 times as far as Saturday � 1 � 4 � 4 miles

Chris drove 4 miles on Friday.

Show your work.

4H09L5 2/22/06 8:29 AM Page 5

Name Date


EnglishLearners

9.5

Solve the riddles. Use the words in bold type above.

1. My name might make you think I am all white, but I am brightly colored. I am

an .

2. I never eat anything, but I am full of fish. I am an .

3. We are fish that like nice warm water, but we do not like to take baths.

We are .

4. The beginning of my name makes me sound like a tree. The end of my name makes me sound like a monster. I look like a plant, but I am a sea animal. I am

a .

5. My name makes me sound like you could spread me on toast. I don’t come in a jar,

though. I live in the ocean. I am a .

6. My name makes me sound like something you would see in the sky, but the place

to find me is at the beach. I am a .

Problem-Solving Strategy: Work BackwardLook at the pictures. Read the descriptions.

An aquarium is a place Tropical fish are fish that Jellyfish are sea animals where you can see all live in warm parts of the with bodies you can see kinds of fish. ocean. through.

A leafy sea dragon is a A starfish is a star-shaped An angelfish is a small sea animal that is animal that lives at the colorful tropical fish.related to sea horses. edge of the ocean.

angelfishaquarium

jellyfish

leafy sea dragon

tropical fish

starfish

G4ELL095 2/22/06 7:39 AM Page 5


Reteach9.6


1. 5�5�,9�4�0� 2. 2�1�,2�9�5� 3. 5�7�,8�5�4� 4. 3�1�0�,3�9�5�

5. 4�1�,2�0�8� 6. 7�9�,4�8�1� 7. 2�1�2�,0�1�5� 8. 6�$�6�,1�8�6�

9. 4,532 � 3 10. $5,648 � 2 11. $45.35 � 5 12. 12,728 � 4

13. 5,490 � 9 14. 3,370 � 5 15. 3,759 � 3 16. 40,014 � 6

Step 1: Dividethousandsif possible.Because3 � 4,there arenotenoughthousands.

4�3�,1�5�8�

Step 2: Convertthousandstohundreds.Divide thehundreds.

Step 3: Bringdown thetens.Divide thetens.

Step 4: Bringdown theones.Divide theones.

789 R24�3�,1�5�8��28↓

��35

�32↓�

38�36�

2

784�3�,1�5�8��28↓

��35

�32�

3

74�3�,1�5�8��2 8�

3

600; 610 600; 674 1,000; 1,253 7,000; 6,669

Divide Greater NumbersName Date

3,158 � 4 � �

1,200; 1,188500;

647 R11,600;

1,570 R43,500;3,465

300; 3021,400;

1,354 R36,000;

6,007 R1$1,000;$1,031

1,500;1,510 R2

$3,000;$2,824

$9; $9.07 3,000;3,182

4R09L6 6/30/05 5:01 PM Page 6

Name Date


Practice9.6


1. 4��3�,1�2�4� 2. 2��5�,3�1�7� 3. 3��$�2�,1�4�5� 4. 5��8�,6�2�8�

5. 2��1�,5�7�2� 6. 6��$�1�2�0�.9�0� 7. 8��3�,6�4�8� 8. 7��$�1�2�,3�4�8�

9. 9��7�,5�9�6� 10. 3��1�2�,4�5�6� 11. 5��1�1�,1�3�9� 12. 2��6�,3�0�7�

13. 56,138 � 6 14. 2,015 � 5 15. $685.16 � 7 16. 2,506 � 4

Test Prep

17. The cost of 3 airline tickets was$1,035. What was the cost per ticket?

A $310 C $305B $315 D $345

18. Joel keeps track of the number ofmiles he jogs. He jogs 4 miles eachday that he jogs. At the end of the yearJoel had jogged 1,284 miles. Howmany days did he jog that year?

781 2,658 R1 $715 1,725 R3

786 $20.15 456 $1,764

844 4,152 2227 R4 3153 R1

9,356 R2

D

403 $97.88 626 R2

321 days

4P09L6 7/1/05 1:02 PM Page 6

Name Date


Enrichment9.6

Greatest Quotient GameMaterials: cards labeled 0–9

paper bag or box

One or more players can play this game.

Rules for 1 Player

• Place the ten digit cards labeled 0–9 in a bag or box.

• On a piece of paper, copy the division problem below.

• Draw a card from the bag. Write this digit as either thedivisor or a digit in the dividend. Once you choose where toplace the digit, it can not be changed.

• Return the card to the bag.

• Continue choosing cards until all the squares in the divisionproblem are filled.

• Solve the division problem.

• Check to see if you can arrange the digits to give a greaterquotient. If not, you were successful. You got the greatestquotient!

Rules for 2 or More Players

• Follow the rules for 1 Player.

• Each player takes turns drawing a card from the bag to fill inhis or her division problem.

• The player with the greatest quotient wins.

1. How should you place the digits to try to have the greatestquotient? Explain.

Possible explanation: You should place thelowest digit in the divisor and the greatestdigit in the thousands place of the dividend.

4E09L6 6/30/05 1:45 PM Page 6

Name Date


ProblemSolving

9.6Divide Greater NumbersSolve.

1. An art museum hosted a Van Gogh artexhibition. On one day, 3,762 peopleattended. If the same number ofpeople attended each hour for 6 hours,how many people attended each hour?

2. Georgina bought 4 photos of paintingsby Van Gogh. She spent a total of$95.80. If each photo was the sameprice, how much did each photo cost?

3. A country produced 49,276 books inone year. If the same number of bookswas produced every 3 months, howmany books were produced every 3months? (Hint: 1 year � 4 groups of 3months)

4. Mrs. Kraus bought 7 books at thebookstore. She spent a total of $41.65.If each book was the same price, howmuch did each book cost?

5. Predict Karl read a book with 1,274 pages in 7 days. At thisrate, could he read a 1,432-page book in 8 days? Explainyour answer.

12,319 books

$23.95

$5.95

Yes; With the 1,274-page book, he read 182pages a day. To read 1,432 pages in 8 days,he would have to read 179 pages a day. 179is less than 182.

627 people

Show your work.

4P09L6 6/30/05 4:13 PM Page 6

Name Date


Homework9.6


Problem Solving

15. Tim bought a new computer for$1,248. He paid for the computer over6 months, making equal paymentseach month. How much did Tim payeach month for his computer?

$208 each month

Rememberthe steps:• Divide the thousands,

if possible.• Divide the hundreds.• Divide the tens. • Divide the ones.• Write the remainder.

2,842

851 R2

2,248 R31,731 R1

2,373 R1

927 R6

Show your work.

1. 2�3�,4�6�3� 2. 5�1�1�,2�4�3�

3. 3�7�,1�2�0� 4. 4�3�,4�0�6�

5. 7�6�,4�9�5� 6. 2�5�,6�8�4�

Mental Math: Compare. Write ≥, ≤, or � for each �.

7. 600 � 3 � 800 � 4 8. 5,000 � 5 � 100 � 8

Algebra • Equations: Solve for n.

9. n � 9 � 600 10. $54.95 � 5 � n 11. 3,200 � n � 400

12. 8,000 � 8 � n 13. n � 7 � 30 14. (3,750 � 3) � 60 � n

� ≥

871 R35��4�3�5�8��40�

35�35�

08�5�

3

n � 5,400 n � $10.99 n � 8

n � 1,000 n � 210 n � 1,190

4H09L6 6/29/05 4:34 PM Page 6

Name Date


EnglishLearners

9.6

Complete the sentences about the children.Use the words in bold type above.

1. Anthony is 5. Bakari is 11.

Bakari is Anthony.

2. Carla is 12. Debra is 6.

Debra is of Carla.

3. Erric is 8. Fred is 10.

They could play on a team for boys

.

4. Galya is 3. Hal is 12.

Hal is of Gayla.

5. Ingrid is 10. Lynn is 13.

They could play on a team for girls

.

6. Kyle is 7. Luisa is 14.

Luisa is of Kyle.

Divide Greater NumbersRead the meanings of these terms.

up to 10 years old ten years old or less

at least 10 years old 10 years old or more

twice the age the age multiplied by 2

4 times the age the age multiplied by 4

half the age the age divided by 2

6 years older than the age plus 6

twice the age

6 years older than

at least 10 years old

4 times the age

up to ten years old

half the age

G4ELL096 8/3/05 6:54 PM Page 6

Name Date


Chapter 9Test


1. 4��6�4�8� 2. 5��6�0�8� 3. 789 � 7 �

4. 6��3�7�2� 5. 7��6�7�8� 6. 208 � 4 �

7. 4��8�1�2� 8. 6��6�5�5� 9. 750 � 7 �

10. 3��7�,7�5�2� 11. 4��3�,7�4�2� 12. 3,456 � 9 �

Go on

162 121 R3 112 R5

62 96 R6 52

203 109 R1 107 R1

2,584 935 R2 384

162 � 4 � 648

62 � 6 � 372

121 � 5 � 605605 � 3 � 608

96 � 7 � 672672 � 6 � 678

52 � 4 � 208

203 � 4 � 812

2,584 � 3 �7,752

935 � 4 �3,7403,740 � 2 �3,742

109 � 6 � 654654 � 1 � 655

107 � 7 � 749749 � 1 � 750

384 � 9 � 3,456

112 � 7 � 784784 � 5 � 789

76274-A-09-L1-L5 2/26/03 4:06 PM Page 4

STOP

Name Date


Chapter 9Test


13. 5��6�,2�3�4� 14. 8��$�0�.9�6� 15. $14.22 � 6 �

16. 9��$�4�5�.5�4� 17. 8��$�2�3�1�.4�4� 18. $63.45 � 9 �

Solve.

19. Megan is thinking of a number. She subtracts 3 from it, thenmultiplies by 2, then adds 10, and finally multiplies by 3. Theresult is 66. What number is Megan thinking of?

20. In the choir, there are twice as many altos as tenors. Thereare 3 more sopranos than tenors. If there are 20 altos, howmany sopranos are there?

1,246 R4 $0.12 $2.37

$5.06

9

13

$28.93 $7.05

4A09L5 6/30/05 1:38 PM Page 5

Documents

Chapter Resources - Education Place® Pretest (3 pages) Resources for Lessons 9.1 – 9.6 (6 pages/lesson) • Reteach 9.1 – 9.6 • Practice 9.1 – 9.6 • Enrichment 9.1 – 9.6