Question

What is the sum of additive inverse and multiplicative inverse of $-7$.

Answer 1

The additive inverse of a number a is the number that, when added to a, yields zero.

Additive inverse of $-7=7$

The multiplicative inverse of a number for any $n$ is simply $\frac{1}{n}$.

The reciprocal of a number obtained is such that when it is multiplied with the original number the value equals to identity 1.

Multiplicative inverse of $-7=-\frac{1}{7}$

Therefore, required sum is $7-\frac{1}{7}=\frac{48}{7}$