Question

Which equation applies the associative property of multiplication?

Answer 1

-5/12 x (6/5 x 1/3) x 9/2 = (-5/12 x 6/5) x (1/3 x 9/2) as said equation correlates with the following formula: (a x b) x c = a x (b x c) where the way you group three or more numbers when adding or multiplying does not change their overall sum or product. Hope this helped! :)

Answer 2

Answer:

C.$-\frac{5}{12}\cdot (\frac{6}{5}\cdot (\frac{1}{3})\cdot \frac{9}{2}=(-\frac{5}{12}\cdot \frac{6}{5})\cdot \frac{1}{3}\cdot \frac{9}{2})$

Step-by-step explanation:

We have to find the equation in which associative property of multiplication is used.

Associative property of multiplication:

If a, b and c are number

Then, $a\cdot (b.c)=(a\cdot b)\cdot c$

A.$(\frac{-7}{8}\cdot \frac{2}{5})+(\frac{-7}{8}\cdot \frac{3}{5})=-\frac{7}{8}\cdot (\frac{2}{5}+\frac{3}{5})$

It is false because distributive property is used not associative property of multiplication.

B.$(\frac{-1}{4}-\frac{5}{3})-\frac{3}{5}=-\frac{1}{4}-(\frac{5}{3}-\frac{3}{5})$

It is false because associative property of multiplication is not used.

In option C

$-\frac{5}{12}\cdot (\frac{6}{5}\cdot \frac{1}{3})\cdot \frac{9}{2}=(-\frac{5}{12}\cdot \frac{6}{5})\cdot (\frac{1}{3}\cdot \frac{9}{2})$

It is true because associative property of multiplication is used.

In option D

$\frac{-6}{7}\cdot \frac{8}{11}\cdot \frac{1}{3}=\frac{8}{11}\cdot \frac{-6}{7}\cdot \frac{1}{3}$

It is not true because commutative property of multiplication is used not associative.