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: 32

Answer

-1, 1

Work Step by Step

We are given that a number $a=1$. We know that the opposite of a number $a$ is $-a$, so the opposite of $a=1$ will be $-a=-1$. We know that the reciprocal of a nonzero number $a$ is the number $\frac{1}{a}$, where $a\times\frac{1}{a}=1$ Therefore, $\frac{1}{a}=1$, as $1\times1=1$. In other words, the reciprocal of 1 is also 1.
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