Using the Commutative Property, fill in the blanks so that the two algebraic expressions are equivalent.

(14) (_) (2) = (7) (_) (14)

1 answer

To make the two algebraic expressions equivalent using the Commutative Property, we can rearrange the factors.

Starting with the left-hand side:
(14) (_) (2)

And the right-hand side: (7) (_) (14)

We know that the Commutative Property states that a × b = b × a. Therefore, we can express the left and right sides with equivalent factors.

For the left side: 14 can be written as 2 times 7: (14) = (7) (2)

So we can fill in the blanks as follows:

(14) (7) (2) = (7) (2) (14)

Therefore, the completed expression is:

(14) (7) (2) = (7) (_) (14)

With the blank filled in with (2).

The complete statement will be: (14) (7) (2) = (7) (2) (14)