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: 31


0, no reciprocal

Work Step by Step

We are given that a number $a=0$. We know that the opposite of a number $a$ is $-a$, so the opposite of $a=0$ will be $-a=0$. In other words, the opposite of 0 is 0. We know that the reciprocal of a nonzero number $a$ is the number $\frac{1}{a}$, where $a\times\frac{1}{a}=1$ However, 0 has no reciprocal, because there is no number that, when multiplied by 0, results in a product of 1.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.