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

C.
`-(5)/(12)\cdot ((6)/(5)\cdot ((1)/(3))\cdot (9)/(2)=(-(5)/(12)\cdot (6)/(5))\cdot (1)/(3)\cdot (9)/(2))`

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.
`((-7)/(8)\cdot (2)/(5))+((-7)/(8)\cdot (3)/(5))=-(7)/(8)\cdot ((2)/(5)+(3)/(5))`

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

B.
`((-1)/(4)-(5)/(3))-(3)/(5)=-(1)/(4)-((5)/(3)-(3)/(5))`

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

In option C

`-(5)/(12)\cdot ((6)/(5)\cdot (1)/(3))\cdot (9)/(2)=(-(5)/(12)\cdot (6)/(5))\cdot ((1)/(3)\cdot (9)/(2))`

It is true because associative property of multiplication is used.

In option D

`(-6)/(7)\cdot (8)/(11)\cdot (1)/(3)=(8)/(11)\cdot (-6)/(7)\cdot (1)/(3)`

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