## Intermediate Algebra (6th Edition)

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 $-a=4$.