Name: ______________________________ Block: _______
The Commutative and Associative Properties Homework
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Part I: Complete the equations below. Then, identify the property you used.
A. 6 + 3 = 3 + ____
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B. 4 • (7 • 5) = (______) • 5
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C. 4 • ____ = 2 • 4
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D. (2 + 4) + 7 = 2 + (______)
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3 • (6 • 4) = (______) • 4
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F. (3 + 4) + 8 = 3 + (______)
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G. -7 + 3 = 3 + ____
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H. 3 • ____ = 5 • 3
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E.
Part II: Determine if each statement below is true or false. If it is false, correct the statement.
1) The Commutative Property says that numbers being multiplied and divided can be reordered.
2) The Commutative Property of Multiplication states that numbers being multiplied can be
regrouped without affecting the product.
3) 25 – 14 = 14 – 25.
Name: ______________________________ Block: _______
Part III: Consider the expressions below.
 Circle any examples of the Commutative Property.
 Put a star by any examples of the Associative Property.
 Put an “x” through any examples that are neither commutative nor associative.
Hint: Keep in mind that it is possible for a set of expressions to model two different properties.
A)
6+8
8+6
B)
(2 • -3) • 4
2 •(-3 • 4)
C)
5 + (3 + 2) + -1
5 + 3 + (2 + -1)
D)
5-4+2
4-5+2
E)
(9 • 3) + 5
(3 • 9) + 5
F)
(7 ÷ 4) • 9
(4 ÷ 7) • 9
G)
3 + -5 • 4
3 + 4 • -5
H)
(3 • 4) • (2 • 6)
(4 • 2) • (6 • 3)
I)
(7 + 2) + 9
(2 + 7) + 9
J)
7-8-3
8-7–3
K)
(10 + -32) • 16
10 + (-32 • 16)
L)
8 + (6 + 4) + 2
8 + 2 + (4 + 6)