Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.7 - Multiplication and Division of Real Numbers - Exercise Set - Page 87: 126

Answer

The number $0$ has no multiplicative inverse because the definition of a multiplicative inverse is that if you multiply a number by its multiplicative inverse, you get $1$. Since $0$ cannot be multiplied by anything to get $1$, $0$ does not have a multiplicative inverse.

Work Step by Step

The number $0$ has no multiplicative inverse because the definition of a multiplicative inverse is that if you multiply a number by its multiplicative inverse, you get $1$. Since $0$ cannot be multiplied by anything to get $1$, $0$ does not have a multiplicative inverse.
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