Question

what are additive and multiplicative inverses

Answer 1

Additive identity when added to a number gives 0 as the answer
Multiplicative identity when multiplied gives a 1

Answer 2

"additive inverse" is a fancy schmanzy name for the same number with a minus in front of it

\(\bf 3 \quad \textit{additive inverse? }\quad -3\quad why?\\
3 -3 = 0\)

Answer 3

"mutiplicative inverse" is also a fancy schmanzy name for the inverse or reciprocal of the same number

\(\bf 53 \quad \textit{multiplicative inverse?} \cfrac{1}{53}\quad why?\\
53 \times \cfrac{1}{53} = 1\)