p t Multiplication Tables a h of 6, 7, 8, and...

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Practice 1 Multiplication PropertiesLook at each number line. Write the multiplication fact.

Multiplication Tables of 6, 7, 8, and 9

C

hapte

r

Lesson 6.1 Multiplication Properties

1.

� �

2.

� �

3.

0 2 4 6 8 14 1610 12

� �

0 7 14 21 28

0 5 10 15 20 25

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Chapter 6 Multiplication Tables of 6, 7, 8, and 9

Complete each multiplication fact. Then show on each number line.

4. 4 � 5 �

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20 21 22

5. 5 � 3 �

Look at the array model. Write the multiplication fact.

6. 1 2 3 4

123

� � � �

Example

1 2 3 4 5

1

2

� � � � 2 5 10 5 2 10

1 2 3

1234

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20

1 2

12345

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Look at the array model. Write the multiplication fact.

7.

1 2 3 4

1

5 6

1

123456

1 � � � �

8. 1 2 3 4 51

2

3

3 � � � 3

�

Complete the multiplication fact. Then show on each number line.

9. 2 � 5 � 0 42 6 8 91 3 5 7 10

5 � 2 � 0 42 6 8 91 3 5 7 10

So, � 5 � 5 �

� .

Lesson 6.1 Multiplication Properties

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Fill in the missing numbers.

10. 2 0 11. 0 4

12. 5 1 13. 1 10

Complete each multiplication fact. Then show on the number line.

14. 2 4 2

5

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20

2 3 3 3 ?

Step 1 2 3

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18

Step 2 6 3

So, 2 3 3

5

6

36

18

18

Example

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Practice 2 Multiply by 6Look at each array model. Write the multiplication fact.

1.

� �

2.

1

2

3

4

1 2 3 4 5 6

5

6

� �

� �

1

2

3

4

1 2 3 4 5 6

4 6 24

Lesson 6.2 Multiply by 6

1

2

3

4

1 2 3 4 5 6

5

Example

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3. 8 sixes � 8 �

4. 5 � 6 � sixes

5. 7 � 7 � 7 � 7 � 7 � 7 � 6 �

6. 6 � 6 � 6 � 6 � 6 � 6 � 6 � 7 �

7. 10 � 6 � 6 �

8. 3 sixes � 6 � 6 �

Multiply. Use multiplication facts you know to find other multiplication facts.

9. 6 � 4 � groups of 4

� 5 groups of 4 � group of 4

� �

�

10. 5 � 6 �

7 � 6 � groups of 6

� 5 groups of 6 � groups of 6

� �

�

11. 10 � 6 �



� �

�

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Multiply and match.

12.

9 � 6

8 � 6

10 � 6

7 � 6

6 � 6

5 � 6

4 � 6

3 � 6 2 � 648

42

54

24

30

12

36

6018


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Solve.

13. James has 8 toy trucks. Each toy truck has 6 wheels. How many wheels do the toy trucks have in all?

� 6 �

The toy trucks have wheels in all.

14. An insect has 6 legs. How many legs do 4 insects have?

� �

4 insects have legs.

15. A cube has 6 sides. How many sides do 9 cubes have in all?

� 6 �

9 cubes have sides in all.

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Practice 3 Multiply by 7 Look at each area model. Write the multiplication fact.

1.

2.

� �

� �

� �

5 7 35


Example

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3. 6 sevens � 6 �

4. 9 � 7 � sevens

5. 5 � 5 � 5 � 5 � 5 � 5 � 5 � 7 �

6. 7 � 7 � 7 � 7 � 7 � 5 �

7. 10 � 7 � 7 �

8. 4 sevens � 7 � 7 � 7 �


9. 7 � 4 � 5 groups of 4 � groups of 4

� �

�

10. 5 � 7 �

7 � 7 � 5 groups of 7 � groups of 7

� �

�

11. 10 � 7 �

9 � 7 � 10 groups of 7 � group of 7

� �

�

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Multiply and match.12.

6 � 749

28

14

35

56

70

21

42

3 � 7

7 � 7

10 � 7

2 � 7

5 � 7

8 � 7

9 � 7

4 � 763


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Solve.

13. Mrs. Thompson buys 2 books. Each book costs $7. How much does Mrs. Thompson pay in all?

2 � $7 � $

Mrs. Thompson pays $ in all.

14. A box contains 7 crayons. Alex packs 10 such boxes into his bag. How many crayons does Alex have in all?

10 � 7 �

Alex has crayons in all.

15. Mr. Dean gives each student 7 okras in art class. How many okras does he give 4 students?

4 � 7 �

He gives 4 students okras.

105

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Practice 4 Multiply by 8Complete the multiplication fact. Then show on the number line.

1. 3 � 8 �

Complete the multiplication fact. Then shade to show on the area model.

2. 6 � 8 �


3. 8 eights � 8 �

4. 3 eights � � 8

5. 6 � 6 � 6 � 6 � 6 � 6 � 6 � 6 � 8 �

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20 21 22 23 24


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6. 8 � 8 � 8 � 8 � 8 � 8 � 6 �

7. 5 � 8 � 8 �

8. 5 eights � 8 � 8 � � �


9. 8 � 4 � 10 groups of 4 � groups of 4

� �

�

10. 10 � 8 �



� �

�

11. 5 � 8 �



� �

�

107

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Multiply and match.

12.

40

64

8

24

16

72

32

48

56

2 � 8

5 � 8

6 � 8

3 � 8

4 � 8

8 � 8

9 � 8

7 � 8

?

13. What is the missing multiplication fact?


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Solve.

14. 8 children make up a team. How many children make up 7 teams?

children make up 7 teams.

15. A chocolate cake has 8 cherries. How many cherries do 6 such cakes have?

6 such cakes have cherries.

An octagon has 8 equal sides.How many sides do 5 octagons have?

octagon

5 octagons have sides.

5 8 = 40

40

Example

109

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Practice 5 Multiply by 9Complete the multiplication fact. Then show on the number line.

1. 2 � 9 �

Complete the multiplication fact. Then show on the area model.

2. 7 � 9 �


3. 3 nines � 3 �

4. 4 nines � � 9

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20


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5. 9 � 9 � 9 � 9 � 9 � 9 � 6 �

6. 6 � 6 � 6 � 6 � 6 � 6 � 6 � 6 � 6 � 9 �

7. 9 � 8 � 8 �

8. 8 nines � 9 � 9 � 9 � 9 � 9 � 9 � �

Use multiplication facts to help you.

9. 10 � 4 �


� �

�

10. 10 � 9 �


� �

�

11. 5 � 9 �


� �

�

4 � 9 � 9 � 4

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Match each ball to the correct basket.

12.

9 nines

9 � 9 � 9 � 9 � 9

4 nines

27

2 � 9

5 � 9

9 � 9

3 � 9

81

7 � 9

27

18

45

6 � 9

4 � 9

9 � 9

54

36

7 nines

9 � 9 � 9 � 9 � 9 � 9

63


112

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Solve.13. Pamela pastes stickers on 4 cards. She pastes 9 stickers on each card. How many stickers does she paste in all?

� 9 �

She pastes stickers in all.

Use the pictures to write a multiplication story.

14.

scissors$6

scissors$6

marker$4

pencil$2

113

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Practice 6 Division: Finding the Number of Items in Each Group

Write two related division sentences.

1. 9 � 5 � 45

45 � �

45 � �

2. 7 � 9 � 63

63 � �

63 � �

3. 8 � 6 � 48

48 � �

48 � �

6 � 7 � 42

42 � �

42 � �

Lesson 6.6 Division: Finding the Number of Items in Each Group

767

6

Example

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4. 7 � � 49 So, 49 � 7 � .

5. 8 � � 48 So, 48 � 8 � .

6. 9 � � 45 So, 45 � 9 � .

Solve.

7. Mrs. Brown has 9 purses with 54 coins. Each purse has the same number of coins. How many coins does each purse have?

� �

Each purse has coins.

8. Austin collects 63 seashells. He puts them equally into 7 boxes. How many seashells does each box contain?

� �

Each box contains seashells.

6 � � 42 So, 42 � 6 � .7 7Example

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Practice 7 Division: Making Equal GroupsFill in the missing numbers.

1. � 6 � 54 2. � 8 � 56

54 � 6 � 56 � 8 �

Divide.3. 21 � 7 � 4. 64 � 8 �

5. 63 � 9 � 6. 48 � 6 �

Solve.7. One tank holds 8 gallons of water. How many tanks are needed to hold 72 gallons of water?

� � tanks are needed to hold 8 gallons of water each.

8. Donald packs 36 apples into some bags. Each bag contains 9 apples. How many bags does Donald use?

� � Donald uses bags.

Lesson 6.7 Division: Making Equal Groups

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1. Show 3 � 6 on the number line.

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20

2. Draw an array model to show 5 � 7.

3. Show 8 � 9 with the area model.

Solve.

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Number: Reason:

4. 49 21 32

63 42 35

3. 72 40 64

24 36 56

Put On Your Thinking Cap!

Complete each skip-counting pattern.

1. 70 63 56 35

14 7

2. 80 72 64

16 8

Identify a number that does not belong in the group.Then write the reason. Use the number patterns to help you.

Number: Reason:

Challenging Practice

Chapter 6 Multiplication Tables of 6, 7, 8 and 9

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1. I am a two-digit number. I am less than 50. Count in sixes and you will fi nd me! Divide my tens digit by 2 and you will fi nd my ones digit. What am I?

Number Tensdigit

Onesdigit Check

12 1 2

12 � 6 �

I am .

Put On Your Thinking Cap!

Make a systematic list as shown below to help you.

Problem Solving

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