Answer
-4, 4
Work Step by Step
We are given that the reciprocal of a number is $-\frac{1}{4}$. We know that the reciprocal of a number $a$ is $\frac{1}{a}$, such that $a\times\frac{1}{a}=1$.
Therefore, $\frac{1}{a}=-\frac{1}{4}$, so $a=-4$.
$-4\times-\frac{1}{4}=1$
Also, the opposite of a number $a$ will be $-a$.
$a=-4$, so $-a=4$.