Using the Commutative Property, fill in the blanks so that the two algebraic expressions are equivalent.(1 point)
(14)( )(2)=(7)( )(14)
(14)(2)(1) = (7)(2)(14)
Using the commutative property, we can rearrange the multiplication in the expressions.
The expression (14)( )(2) can be rearranged to be (2)( )(14).
Similarly, the expression (7)( )(14) can be rearranged to be (14)( )(7).
So, the two expressions are equivalent when filled in the blanks as follows:
(14)(2)(14) = (7)(14)(7)
To use the Commutative Property, we can rearrange the order in which the terms are multiplied without changing the product. In this case, we have:
(14)( )(2) = (7)( )(14)
To make the expressions equivalent, we need to fill in the blanks with the same value for both.
Let's fill in the first blank with "2" to match the "2" on the right side:
(14)(2)(2) = (7)( )(14)
Now, to make the expressions equivalent, we need to fill the second blank with "2" as well, because the Commutative Property allows us to rearrange the factors:
(14)(2)(2) = (7)(2)(14)
Therefore, filling in the blanks with "2" makes the two algebraic expressions equivalent.