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 - Page 39: 29

Answer

$\frac{1}{7}$, -7

Work Step by Step

We are given that a number $a=-\frac{1}{7}$. We know that the opposite of a number $a$ is $-a$, so the opposite of $a=-\frac{1}{7}$ will be $-a=\frac{1}{7}$. We know that the reciprocal of a nonzero number $a$ is the number $\frac{1}{a}$, where $a\times\frac{1}{a}=1$ $\frac{1}{a}=-7$ $-\frac{1}{7}\times-7=1$
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