Question

Which expression can be simplified by applying the additive inverse property

Answer 1

D, because 9 3/4 and -9 3/4 cancel out to 0, which is the additive inverse property.

Answer 2

We have to identify the expression in which Additive inverse identity is applied.

Additive inverse property states that "The additive inverse of a number 'x' is a number that when it is added to 'x', yields zero".

Consider the first expression,

A.
`-329-164+513+206+(-164)`

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

B.
`1.6+0.2-1.8-0.5`

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

C.
`-(7)/(10)-(3)/(4)+1(1)/(2)+(-(7)/(10))`

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

D.
`9(3)/(4)\+4(5)/(8)+(-9(3)/(4)+(2(3)/(5))`

Here,
`9(3)/(4)` when added to
`-9(3)/(4)` will yield zero. Therefore,
`-9(3)/(4)` is the additive inverse of
`9(3)/(4)`.

So, in option D, Additive inverse property is applied.