multiplication properties - michael a. maffesoli · multiplication properties the table shows...
TRANSCRIPT
©H
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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
©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����
$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.