Question

Need help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

The associative property allows you to change the grouping of numbers in a multiplication expression without changing the result. In this case, you can use the associative property to rewrite the expression as
`\( (2)/(3) \cdot \left((5)/(2) \cdot (1)/(5)\right) \)`. The correct answer is D) The associative property used once.

The expression
`\(\left((2)/(3) \cdot (1)/(5)\right) \cdot (5)/(2)\)` can be rewritten as
`\((2)/(3) \cdot \left((5)/(2) \cdot (1)/(5)\right)\)` by applying the associative property of multiplication.

This property allows for changing the grouping of numbers without altering the result. In this case, it is used once to rearrange the multiplication sequence, ensuring that the product remains the same.

No need for the commutative property, as the order of multiplication doesn't affect the outcome.

Therefore, the correct choice is D) The associative property used once for the given expression transformation.

The complete question is:

Which of the following properties could be used to rewrite the expression
`((2)/(3) \cdot (1)/(5) ) \cdot (5)/(2)` as
`\((2)/(3) \cdot \left((5)/(2) \cdot (1)/(5)\right)\)`?

A. The commutative property followed by the associative property

B. The associative property followed by the commutative property

C. The commutative property used twice

D. The associative property used once