Using the Commutative Property, fill in the blanks so that the two algebraic expressions are equivalent.(1 point)

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

2 answers

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

We have:

\[ (14) \times (___) \times (2) = (7) \times (___) \times (14) \]

The Commutative Property states that the order in which we multiply numbers does not change the product.

By filling in the blanks, we can see what values make both sides equal.

On the left side, if we take the blank as 1, we have:

\[ (14) \times (1) \times (2) \]

On the right side, if we take the blank as 1, we have:

\[ (7) \times (1) \times (14) \]

So, filling in the blanks with 1:

  • Left side: \( (14) \times (1) \times (2) \)
  • Right side: \( (7) \times (1) \times (14) \)

Both sides become equal when we fill in \( (1) \):

Thus, the completed expression is:

\[ (14) \times (1) \times (2) = (7) \times (1) \times (14) \]

Both are wrong