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. [tex] -329-164+513+206+(-164) [/tex]
There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.
B. [tex] 1.6+0.2-1.8-0.5 [/tex]
There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.
C. [tex] -\frac{7}{10}-\frac{3}{4}+1\frac{1}{2}+(-\frac{7}{10}) [/tex]
There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.
D. [tex] 9\frac{3}{4}\+4\frac{5}{8}+(-9\frac{3}{4}+(2\frac{3}{5}) [/tex]
Here, [tex] 9\frac{3}{4} [/tex] when added to [tex] -9\frac{3}{4} [/tex] will yield zero. Therefore, [tex] -9\frac{3}{4} [/tex] is the additive inverse of [tex] 9\frac{3}{4} [/tex].
So, in option D, Additive inverse property is applied.
