Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.2 Real Numbers and Their Properties - R.2 Exercises - Page 21: 103



Work Step by Step

RECALL: The absolute value of a number $a$ is defined as: $|a| = a$ if $a \ge 0$ $|a| = -a$ if $a \lt 0$ Thus, $|\dfrac{10}{-2}| = |-5| = -(-5) = 5$ while $\dfrac{|10|}{|-2|} = \dfrac{10}{-(-2)}=\dfrac{10}{2} = 5$ Therefore, $|\dfrac{10}{-2}| = \dfrac{|10|}{|-2|}$ The statement is true.
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