Chapter 1 - Section 1.4 - Properties of Real Numbers and Algebraic Expressions - Exercise Set: 28

-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 $-a=4$.

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