Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 9 - Basic Algebra - 9.2 Adding and Subtracting Signed Numbers - 9.2 Exercises - Page 641: 37

Answer

$-\frac{1}{2}$

Work Step by Step

The additive inverse is the opposite of a number. The sum of a number and its additive inverse is 0. Therefore, the additive inverse of $\frac{1}{2}$ is $-(\frac{1}{2})=-\frac{1}{2}$. We can check to make sure the sum of these two numbers is 0. $-\frac{1}{2}+\frac{1}{2}=\frac{1}{2}-\frac{1}{2}=0$
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