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: 34

Answer

$-\frac{23}{5}$, $-\frac{5}{23}$

Work Step by Step

We are given that the opposite of a number $a$ is $\frac{23}{5}$. We know that the opposite of number $a$ is equal to $-a$. Therefore, if $-a=\frac{23}{5}$, $a=-\frac{23}{5}$. We know that the reciprocal of a nonzero number $a$ is $\frac{1}{a}$, where $a\times\frac{1}{a}=1$. Therefore, if $a=-\frac{23}{5}$, then $\frac{1}{a}=-\frac{5}{23}$. $-\frac{23}{5}\times-\frac{5}{23}=1$
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