using the commutative property fill in the blanks so that the two algebraic expressions are equivalent (14)( )(2) = (7)( )(14)

Answer 1

To use the commutative property to fill in the blanks so that the two algebraic expressions are equivalent, we can rearrange the numbers involved.

We have:

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

Now let's analyze the left side:

• The first expression includes \(14\) and \(2\).

If we rewrite the right side, we can represent \(14\) as \(2 \times 7\).

Now, we need to fill in the blanks:

1. For the first blank on the left side, we can use \(7\) to balance it out.
2. For the second blank on the right side, since \(14 = 2 \times 7\), we can use \(2\).

Thus, we have:

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

Therefore, the completed expressions are:

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