Question

Which expression uses the associative property to make it easier to evaluate 8(33)? O A. (8-5) B. § (2 - 3 ) C. 865 D. (8)

Answer 1

The associative property of multiplication states that:

$(a\cdot b)\cdot c=a\cdot(b\cdot c)$

In this case we have to solve:

$8(\frac{1}{2}\cdot\frac{1}{3})_{}$

We can associate the 8 with 1/2 to make it easier to evaluate:

$8(\frac{1}{2}\cdot\frac{1}{3})=(8\cdot\frac{1}{2})\cdot\frac{1}{3}=4\cdot\frac{1}{3}=\frac{4}{3}$

This is the expression proposed in Option A.

Answer: Option A.