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: 33

Answer

$\frac{7}{8}$, $-\frac{7}{8}$

Work Step by Step

We are given that a number $a$ has a reciprocal of $\frac{8}{7}$. We know that the reciprocal of a nonzero number $a$ is the number $\frac{1}{a}$, where $a\times\frac{1}{a}=1$. Therefore, $a=\frac{7}{8}$. $\frac{7}{8}\times\frac{8}{7}=1$ Also, we know that the opposite of a number $a$ is equal to $-a$. So, the opposite of $a=\frac{7}{8}$ is $-a=-\frac{7}{8}$.
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