LESSON 11.4
Name
Multiplication Properties
The table shows properties that can help you multiply.
Identity Property
414
144
The product of 1 and any number
equals that number.
Zero Property
020
200
The product of 0 and any number
equals 0.
Commutative Property
3 4 12
4 3 12
You can multiply two factors in any
order and get the same product.
Associative Property
You can group factors in different ways
and get the same product.
(3 2) 4 3 (2 4)
6
43
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
Find each missing number. Write Identity, Zero, Commutative, Associative,
or Distributive to tell what property of multiplication is shown.
27
14
2.
80
7 2 14
Commutative
4.
3 9 3 (4 5 )
(3 4 ) (3 12 15
3.
19
Zero
5.
5 )
2 (2 5) 20
(2 2) 5 20
27
Distributive
RW60
0
Reteach
Associative
9
© Harcourt
1.
LESSON 11.4
Name
Multiplication Properties
The table shows properties that can help you multiply.
Identity Property
414
144
The product of 1 and any number
equals that number.
Zero Property
020
200
The product of 0 and any number
equals 0.
Commutative Property
3 4 12
4 3 12
You can multiply two factors in any
order and get the same product.
Associative Property
You can group factors in different ways
and get the same product.
(3 2) 4 3 (2 4)
6
43
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
Find each missing number. Write Identity, Zero, Commutative, Associative,
or Distributive to tell what property of multiplication is shown.
27
14
2.
80
7 2 14
Commutative
4.
3 9 3 (4 5 )
(3 4 ) (3 12 15
3.
Zero
Reteach
9
Identity
5.
5 )
19
2 (2 5) 20
(2 2) 5 20
27
Distributive
RW60
0
Associative
© Harcourt
1.
LESSON 11.4
Name
Multiplication Properties
Properties may vary.
Find the product. Tell which property you used to help you.
1.
8 7 56
2.
70
0
5.
Zero Property
7.
6
3.
Identity Property
Commutative Property
4.
16
(2 3) 4 24
Associative Property
5 (2 4) 40
6.
91
Identity Property
Associative Property
9 8 72
8.
(2 6) 3 36
9.
04
Commutative Property Associative Property
10.
15
5
11.
80
Identity Property
0
9
0
Zero Property
12.
7 6 42
Commutative Property
Zero Property
Write the missing number.
13.
43
15.
3 (2 6) (3 17.
6
3
4
2 )6
996
14.
5 9 (5 3) (5 16.
(8 2) 4 18.
47( 4
8
6 )
(2 4)
5) ( 4
2)
Mixed Review
Solve.
$4.57
$7.39
$11.96
20.
$9.03
$2.54
$6.49
21.
$26.88
$75.42
$102.30
22.
$50.00
$24.99
$25.01
© Harcourt
19.
Round each number to the nearest thousand.
23.
2,463 2,000
24.
8,711 9,000
25.
932 1,000
26.
4,300 4,000
27.
6,514 7,000
28.
7,820 8,000
PW60 Practice
LESSON 11.4
Name
Multiplication Properties
Properties may vary.
Find the product. Tell which property you used to help you.
1.
8 7 56
2.
70
0
5.
Zero Property
7.
6
3.
Identity Property
Commutative Property
4.
16
(2 3) 4 24
Associative Property
5 (2 4) 40
6.
91
Identity Property
Associative Property
9 8 72
8.
(2 6) 3 36
9.
04
Commutative Property Associative Property
10.
15
5
11.
80
Identity Property
0
9
0
Zero Property
12.
7 6 42
Commutative Property
Zero Property
Write the missing number.
13.
43
15.
3 (2 6) (3 17.
6
3
4
2 )6
996
14.
5 9 (5 3) (5 16.
(8 2) 4 18.
47( 4
8
6 )
(2 4)
5) ( 4
2)
Mixed Review
Solve.
$4.57
$7.39
20.
$9.03
$2.54
21.
$26.88
$75.42
22.
$50.00
$24.99
© Harcourt
19.
Round each number to the nearest thousand.
23.
2,463 2,000
24.
8,711 9,000
25.
932 1,000
26.
4,300 4,000
27.
6,514 7,000
28.
7,820 8,000
PW60 Practice
LESSON 11.4
Name
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 a
multiplication 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, the
player with more cards wins the game!
(2 2) (2 7)
7
29
07
8 (4 2)
91
(7 2) 5
(3 2) 4
0
(4 5) (4 3)
65
(8 4) 2
7 (2 5)
71
3 (2 4)
19
48
© Harcourt
56
Make up your own set of cards. Trade with another pair
of classmates, and play again.
CW60
Challenge
LESSON 11.4
Name
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 a
multiplication 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, the
player with more cards wins the game!
(2 2) (2 7)
7
29
07
8 (4 2)
91
(7 2) 5
(3 2) 4
0
(4 5) (4 3)
65
(8 4) 2
7 (2 5)
71
3 (2 4)
19
48
© Harcourt
56
Make up your own set of cards. Trade with another pair
of classmates, and play again.
CW60
Challenge