C H A PTE Multiplication Tables R 6 of 6, 7, 8, and 9...88 Name: Date: © 2009 Marshall Cavendish...

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Multiplication Tables of 6, 7, 8, and 9

CHAPTER

6Worksheet 1 Multiplication PropertiesStudy each number line. Then fi ll in the blanks.

3

12

4

Example

0 1 2 3 4 5 6 7 8 9 1 01 11 21 31 41 5

The number line shows skips of .

skips of � groups of

�

3

3 4 4

skipnumber line

1.

0 1 2 3 4 5 6 7 8 9 1 01 11 21 31 41 5

The number line shows skips of .

skips of � groups of

�

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Chapter 6 Lesson 6.1

Fill in the blanks.

2. 3 skips of 4 � groups of

� �

3. 2 skips of 5 � groups of

� �

Look at the number line. Write the multiplication fact.

Example

� � 26 12

0 1 2 3 4 5 6 7 8 9 1 01 11 21 31 41 5

4.

0 1 2 3 4 5 6 7 8 9 1011121314151617181920

� �

MS_Reteach 3A_Ch06_079-122.indd 80 11/3/09 8:50:36 AM

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Show the sentence on the number line.Then circle the numbers.

0 1 2 3 5 6 7 9 10 11 13 14 15 17 18 19 20161284

ExampleSkip count by 4 to 20.

5. Skip count by 5 to 25.

0 1 2 3 5 6 7 9 10 11 13 14 23 24 2515 17 18 2119 2016 221284

Show the multiplication fact on the number line.

Example7 � 3 � 21

0 1 2 3 5 6 7 9 10 11 13 14 2215 17 18 2119 20161284

6. 6 � 4 � 24

0 1 2 3 5 6 7 9 10 11 13 14 23 24 2515 17 18 2119 2016 221284


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7. Show four multiplication facts that equal 12 on the number lines.

Example12 � 1 � 12

0 1 2 3 5 6 7 9 10 11 13 14 151284

� � 12

0 1 2 3 5 6 7 9 10 11 13 14 151284

� � 12

0 1 2 3 5 6 7 9 10 11 13 14 151284

� � 12

0 1 2 3 5 6 7 9 10 11 13 14 151284

� � 12

0 1 2 3 5 6 7 9 10 11 13 14 151284


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Look at the number line.Write the multiplication facts.

Changing the order of the numbers in a multiplication sentence does not change the answer. This is called the Commutative Property of Multiplication.

Example

� �

� �

2

7

7

2

14

14

0 1 2 3 5 6 7 9 10 11 13 14 151284

8.

0 1 2 3 5 6 7 9 10 12 16 18 201411 15 17 191384

� �

� �


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

0 1 2 3 5 6 7 9 10 11 13 14 23 24 2515 17 18 2119 2016 221284

24Example

6 � 4 �

9. 4 � 6 �

0 1 2 3 5 6 7 9 10 11 13 14 23 24 2515 17 18 2119 2016 221284

10. Write a statement to explain the pattern you see.

Use the given numbers to write two multiplication sentences.You may use each number more than once.

3 4 7 8 2411. � �

12. � �


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15. Look at the statements you have written in Exercise 13 and 14. What can you conclude from the statements?

Complete.

16. 7 � 1 � 17. 9 � 1 �

18. 12 � 1 � 19. 1 � 100 �

Fill in the circle next to the correct answer

20. 4 � 0 is

a sum of 4 and 0 b difference between 4 and 0

c 4 groups of nothing d divide nothing by 4

21. Which diagram shows 3 � 0?

a

b

c


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Draw a picture to show the following

Example

4 � 0

Any number multiplied by 0 equals 0. This is called the Multiplicative Property of Zero.

22. 2 � 0

23. 7 � 0

24. What pattern do you notice?


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Complete.

25. 8 � 0 � 26. 0 � 15 �

27. 41 � 0 � 28. 0 � 29 �

Complete.

6 30 15 30

Example

Method 1 Method 2

2 � 3 � 5 2 � 3 � 5

� � 5 � � 2 � �

Changing the way numbers in a multiplication sentence are grouped and multiplied does not change the answer. This is called the Associative Property of Multiplication.

29. Method 1 Method 2

5 � 2 � 4 5 � 2 � 4

� � 4 � � 5 � �


4 � 1 � 5 4 � 1 � 5

� � � � � �


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5 � 2 � 3 5 � 2 � 3

� � � � � �

32. What pattern do you notice?

Multiply in any order.

24Example

4 � 2 � 3 �

8 � 3 � 24

OR

4 � 6 � 24

33. 2 � 5 � 4 �

34. 5 � 1 � 4 �

35. 3 � 0 � 4 �


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36. 3 � 5 � 0 �

37. 4 � 1 � 2 �

38. 7 � 2 � 1 �

39. 1 � 6 � 4 �

40. 9 � 1 � 3 �

41. 8 � 0 � 2 �

42. 2 � 3 � 1 �


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Worksheet 2 Multiply by 6Complete.

Example

1 group of 6 dots � �

�

1 6

6

A dot paper is an array model. The dots are arranged in rows and columns.

1.

2 groups of 6 dots � �

�

2.


�


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Shade the dots to show the multiplication sentence. Then fi ll in the blanks.

Example

3 � 6 � 18

3.

5 � 6 �

4.

7 � 6 �


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Express each array model as a multiplication fact.

5.

� 6 �

6.

� �

7.

� 6 �


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8.

� 6 �

Fill in the missing numbers.Use array models to help you.

Examplea.

b.

5 groups of 6 dots 7 groups of 6 dots

� � � 5 groups of 6 dots �

�

groups of 6 dots

� �

�

5 6

302

30 12

42


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9. a. b.


� � � � 5 groups of 6 dots �

groups of 6 dots

� �

�

10. a. b.



group of 6 dots

� �

�


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Multiply. Use array models to help you.

11. 3 � 6 � 12. 2 � 6 �

13. 4 � 6 � 14. 5 � 6 �

15. 0 � 6 � 16. 1 � 6 �

17. 6 � 6 � 18. 8 � 6 �

19. 9 � 6 � 20. 7 � 6 �

21. 10 � 6 �

Complete each number pattern. Use the multiplication table of 6 to help you.

22. 6 12 18

23. 24 30 36


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Example

1 group of 7 dots � 1 � 7

� 7

1.


�

2.


�


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Shade the dots to show the multiplication sentence.Then fi ll in the blanks.

Example

4 � 7 � 28

3.

5 � 7 �

4.

8 � 7 �


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5.

� 7 �

6.

� �

7.

� 7 �


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Fill in the missing numbers. Use array models to help you.

Examplea.

b.



�

group of 7 dots

� �

�

5 7

351

35 7

42

8. a. b.



groups of 7 dots

� �

�


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9. a. b.


� � � � 10 group of 7 dots �

group of 7 dots

� �

�

10. a. b.



groups of 7 dots

� �

�


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11. 2 � 7 � 12. 3 � 7 �

13. 5 � 7 � 14. 4 � 7 �

15. 0 � 7 � 16. 1 � 7 �

17. 7 � 7 � 18. 6 � 7 �

19. 8 � 7 � 20. 9 � 7 �

21. 7 � 8 � 22. 7 � 10 �

Complete each number pattern. Use the multiplication table of 7 to help you.

23. 7 14 21

24. 21 28 35


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Example


� 8

1.


�

2.


�


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Example

5 � 8 � 40

3.

4 � 8 �

4.

7 � 8 �


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� 8 � 162

Example

5.

� �

6.

� 8 �


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Examplea.

b.



�

group of 8 dots

� �

�

5 8

401

40 8

48

7. a. b.



groups of 8 dots

� �

�


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8. a. b.



group of 8 dots

� �

�

9. a. b.

10 groups of 8 dots

7 groups of 8 dots

� � �

� 10 groups of 8 dots �

groups of 8 dots

� �

�


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10. 3 � 8 � 11. 2 � 8 �

12. 5 � 8 � 13. 4 � 8 �

14. 0 � 8 � 15. 1 � 8 �

16. 6 � 8 � 17. 7 � 8 �

18. 9 � 8 � 19. 8 � 8 �

Complete the number pattern. Use the multiplication table of 8 to help you.

20. 8 16 24

21. 24 32 40


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Example


� 9

1.


�

2.


�


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Example

5 � 9 � 45

3.

4 � 9 �

4.

7 � 9 �


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Example

� 9 � 273

5.

� �

6.

� 9 �


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Examplea.

b.



�

groups of 9 dots

� �

�

5 9

452

45 18

63

7. a. b.



groups of 9 dots

� �

�


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8. a. b.



group of 9 dots

� �

�

9. a. b.



groups of 9 dots

� �

�


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Bend your second fi nger to show 2 times 9.2 � 9 � 18


10. 2 � 9 � 11. 3 � 9 �

12. 5 � 9 � 13. 4 � 9 �

14. 0 � 9 � 15. 1 � 9 �

16. 6 � 9 � 17. 7 � 9 �

18. 9 � 9 � 19. 8 � 9 �

Use fi nger counting to fi nd the multiplication facts of 9.

2 � 9 � 18

81

20. 3 � 9 � 21. 5 � 9 �

22. 9 � 7 � 23. 9 � 6 �

24. 4 � 9 � 25. 9 � 8 �

26. 10 � 9 � 27. 9 � 9 �

Complete the number pattern. Use the multiplication table of 9 to help you.

28. 9 18 27

29. 27 36 45


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

12 � 6 � 2

Total number of items

Number of groups

Number of items in each group

Study the diagram.Then complete the division sentence.

Example

21 7 3� �

The 12 pineapples have been divided into 6 equal groups. Each group has 2 pineapples.


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1.

� �

2.

� �


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Circle the items into groups to show the division sentence.Then fi ll in the blanks.

Example

18 � 6 � 3

3. 28 � 7 �


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4. 35 � 7 �

5. 27 � 9 �


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Worksheet 7 Division: Making Equal Groups

16 � 2 � 8

Total number of items

Number of groups

Number of items in each group

Complete the division sentence. Circle the items into groupsto help you.

Example

14 7� 2 �


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1.

� 4 �

2.

� 5 �

3.

� 3 �


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Draw a diagram to show the division story. Then complete the division sentence.

4. Graham has 56 stamps. He puts them equally into groups of 8.

� �

5. Rex puts 36 apples equally into 9 boxes.

� �

Write two multiplication and two division sentences using the given numbers. Each number can be used more than once.

6. 7 6 42 48 Multiplication sentences:

Division sentences:


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Division sentences:


Division sentences:

9. Write four numbers and ask your friend to write two multiplication and two division sentences using the numbers.


CHAPTER 6 - Multiplication Tables of 6, 7, 8, and 9Worksheet 1 - Multiplication PropertiesWorksheet 2 - Multiply by 6Worksheet 3 - Multiply by 7Worksheet 4 - Multiply by 8Worksheet 5 - Multiply by 9Worksheet 6 - Division: Finding the Number of Items in Each GroupWorksheet 7 - Division: Making Equal Groups

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C H A PTE Multiplication Tables R 6 of 6, 7, 8, and 9...88 Name: Date: © 2009 Marshall Cavendish...

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