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The Commutative Property Quick Check
4 of 54 of 5 Items

Question
Substituting 1 for x in the equation (x⋅3)5=5(x⋅3)
is a test case for which property?(1 point)
Responses

the Associative Property of Addition
the Associative Property of Addition

the Commutative Property of Addition
the Commutative Property of Addition

the Associative Property of Multiplication
the Associative Property of Multiplication

the Commutative Property of Multiplication

1 answer

The equation \((x \cdot 3)5 = 5(x \cdot 3)\) is a test case for the Commutative Property of Multiplication. This property states that the order in which numbers are multiplied does not change the product. In this case, you are testing whether changing the arrangement of the factors (5 and \(x \cdot 3\)) affects the result. Therefore, the correct answer is:

the Commutative Property of Multiplication.