multiplication properties - michael a. maffesoli · multiplication properties the table shows...

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RW60 Reteach

Multiplication PropertiesThe table shows properties that can help you multiply.

Find each missing number. Write Identity, Zero, Commutative, Associative,or Distributive to tell what property of multiplication is shown.

1. 2 � 7 � 2. 8 � 0 � 3. 1 � 9 �

7 � 2 �

4. 3 � 9 � 3 � (4 � ) 5. 2 � (2 � 5) �

� (3 � ) � (3 � ) (2 � 2) � 5 �

� �

�

AssociativeDistributive

27

1512

2054

205

ZeroCommutative

14

9014

NameLESSON 11.4

Identity Property

The product of 1 and any number 4 � 1 � 4equals that number. 1 � 4 � 4

Zero Property

The product of 0 and any number 0 � 2 � 0equals 0. 2 � 0 � 0

Commutative Property

You can multiply two factors in any 3 � 4 � 12order and get the same product. 4 � 3 � 12

Associative Property

You can group factors in different ways (3 � 2) � 4 � 3 � (2 � 4)and get the same product. 6 � 4 � 3 � 8

24 � 24

Distributive Property

You can think of one factor as the sum 4 � 6 � 4 � (1 � 5)of two addends. Multiply each addend � (4 � 1) � (4 � 5)by the other factor and add the products. � 4 � 20

� 24

©H

arco

urt

RW60 Reteach

Multiplication PropertiesThe table shows properties that can help you multiply.

Find each missing number. Write Identity, Zero, Commutative, Associative,or Distributive to tell what property of multiplication is shown.

1. 2 � 7 � 2. 8 � 0 � 3. 1 � 9 �

7 � 2 �

4. 3 � 9 � 3 � (4 � ) 5. 2 � (2 � 5) �

� (3 � ) � (3 � ) (2 � 2) � 5 �

� �

�

AssociativeDistributive

27

1512

2054

205

IdentityZeroCommutative

14

9014

NameLESSON 11.4

Identity Property

The product of 1 and any number 4 � 1 � 4equals that number. 1 � 4 � 4

Zero Property

The product of 0 and any number 0 � 2 � 0equals 0. 2 � 0 � 0

Commutative Property

You can multiply two factors in any 3 � 4 � 12order and get the same product. 4 � 3 � 12

Associative Property

You can group factors in different ways (3 � 2) � 4 � 3 � (2 � 4)and get the same product. 6 � 4 � 3 � 8

24 � 24

Distributive Property

You can think of one factor as the sum 4 � 6 � 4 � (1 � 5)of two addends. Multiply each addend � (4 � 1) � (4 � 5)by the other factor and add the products. � 4 � 20

� 24

Name

PW60 Practice

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arco

urt

LESSON 11.4

Multiplication PropertiesFind the product. Tell which property you used to help you.

1. 8 � 7 � 2. 1 � 6 � 3. (2 � 3) � 4 �

4. 7 � 0 � 5. 5 � (2 � 4) � 6. 9 � 1 �

7. 9 � 8 � 8. (2 � 6) � 3 � 9. 0 � 4 �

10. 1 � 5 � 11. 8 � 0 � 12. 7 � 6 �

Write the missing number.

13. 4 � 3 � � 4 14. 5 � 9 � (5 � 3) � (5 � )

15. 3 � (2 � 6) � (3 � ) � 6 16. (8 � 2) � 4 � � (2 � 4)

17. � 9 � 9 � 6 18. 4 � 7 � ( � 5) � ( � 2)

Mixed Review

Solve.

19. 20. 21. 22.

Round each number to the nearest thousand.

23. 2,463 24. 8,711 25. 932

26. 4,300 27. 6,514 28. 7,820 8,0007,0004,000

1,0009,0002,000

$50.00� $24.99����

$25.01

$26.88� $75.42����$102.30

$9.03� $2.54���

$6.49

$4.57� $7.39���$11.96

446

82

63

Zero PropertyIdentity Property

4205

Zero Property

03672

Identity PropertyZero Property

9400

Identity Property

24656

Commutative Property

Commutative Property

Commutative Property

Associative Property

Associative Property

Associative Property

Properties may vary.

Name

PW60 Practice

©H

arco

urt

LESSON 11.4

Multiplication PropertiesFind the product. Tell which property you used to help you.

1. 8 � 7 � 2. 1 � 6 � 3. (2 � 3) � 4 �

4. 7 � 0 � 5. 5 � (2 � 4) � 6. 9 � 1 �

7. 9 � 8 � 8. (2 � 6) � 3 � 9. 0 � 4 �

10. 1 � 5 � 11. 8 � 0 � 12. 7 � 6 �

Write the missing number.

13. 4 � 3 � � 4 14. 5 � 9 � (5 � 3) � (5 � )

15. 3 � (2 � 6) � (3 � ) � 6 16. (8 � 2) � 4 � � (2 � 4)

17. � 9 � 9 � 6 18. 4 � 7 � ( � 5) � ( � 2)

Mixed Review

Solve.

19. 20. 21. 22.

Round each number to the nearest thousand.

23. 2,463 24. 8,711 25. 932

26. 4,300 27. 6,514 28. 7,820 8,0007,0004,000

1,0009,0002,000

$50.00� $24.99����

$26.88� $75.42����

$9.03� $2.54���

$4.57� $7.39���

446

82

63

Zero PropertyIdentity Property

4205

Zero Property

03672

Identity PropertyZero Property

9400

Identity Property

24656

Commutative Property

Commutative Property

Commutative Property

Associative Property

Associative Property

Associative Property

Properties may vary.

©H

arco

urt

CW60 Challenge

Property Match Game

Play with a partner.

Materials: Expression cards shown below; scissors

How to Play:• Cut apart the expression cards and place them

facedown on a table.• Players take turns. Turn over two cards.

Determine whether the cards are an example of amultiplication property. If so, name the property.If not, place the cards back on the table facedown.

• If the property is named correctly, keep the cards.If not, place the cards back on the table facedown.

• When all the cards have been picked up, theplayer with more cards wins the game!

5 � 6 (2 � 2) � (2 � 7) 7

2 � 9 0 � 7 8 � (4 � 2)

9 � 1 (7 � 2) � 5 (3 � 2) � 4

0 (4 � 5) � (4 � 3) 6 � 5

(8 � 4) � 2 7 � (2 � 5) 7 � 1

3 � (2 � 4) 1 � 9 4 � 8

NameLESSON 11.4

Make up your own set of cards. Trade with another pairof classmates, and play again.

©H

arco

urt

CW60 Challenge

Property Match Game

Play with a partner.

Materials: Expression cards shown below; scissors

How to Play:• Cut apart the expression cards and place them

facedown on a table.• Players take turns. Turn over two cards.

Determine whether the cards are an example of amultiplication property. If so, name the property.If not, place the cards back on the table facedown.

• If the property is named correctly, keep the cards.If not, place the cards back on the table facedown.

• When all the cards have been picked up, theplayer with more cards wins the game!

5 � 6 (2 � 2) � (2 � 7) 7

2 � 9 0 � 7 8 � (4 � 2)

9 � 1 (7 � 2) � 5 (3 � 2) � 4

0 (4 � 5) � (4 � 3) 6 � 5

(8 � 4) � 2 7 � (2 � 5) 7 � 1

3 � (2 � 4) 1 � 9 4 � 8

NameLESSON 11.4

Make up your own set of cards. Trade with another pairof classmates, and play again.