Answer
-8, $-\frac{1}{8}$
Work Step by Step
We are given that the opposite of a number is 8. We know that the opposite of a number $a$ is the number $-a$.
Therefore, $-a=8$, so $a=-8$.
Also, we know that the reciprocal of a number is $\frac{1}{a}$, such that $a\times\frac{1}{a}=1$.
$\frac{1}{a}=-\frac{1}{8}$
$-8\times-\frac{1}{8}=1$