FTCE Professional Education Practice Exam

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Which property allows you to rearrange the factors in a multiplication equation?

Distributive
Associative
Commutative
Identity

The correct answer is: Commutative

The property that allows you to rearrange the factors in a multiplication equation is known as the Commutative Property. This property states that the order in which two numbers are multiplied does not affect the product. For example, if you have factors a and b, the Commutative Property tells us that a * b is the same as b * a. This flexibility in rearranging factors is particularly useful in simplifying calculations and solving equations. The other properties mentioned do not serve this purpose. The Distributive Property involves distributing a multiplication over addition or subtraction. The Associative Property pertains to how numbers are grouped in multiplication or addition, meaning that (a * b) * c is the same as a * (b * c), but it does not allow for rearranging the factors themselves. The Identity Property refers to multiplying a number by one, resulting in the same number, and does not involve rearrangement of factors. Thus, the focus here is on the Commutative Property as the correct answer.