Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 1 - Section 1.4 - Properties of Real Numbers and Algebraic Expressions - Exercise Set: 27

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 $a\times\frac{1}{a}=1$. $\frac{1}{a}=-\frac{1}{8}$ $-8\times-\frac{1}{8}=1$
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