Question

Which expression can be simplified by applying the additive inverse property

Answer 1

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. $-\frac{7}{10}-\frac{3}{4}+1\frac{1}{2}+(-\frac{7}{10})$

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

D. $9\frac{3}{4}\+4\frac{5}{8}+(-9\frac{3}{4}+(2\frac{3}{5})$

Here, $9\frac{3}{4}$ when added to $-9\frac{3}{4}$ will yield zero. Therefore, $-9\frac{3}{4}$ is the additive inverse of $9\frac{3}{4}$.

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

Answer 2

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