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 1.3 - The Real Numbers - Exercise Set - Page 42: 81


$|\displaystyle \frac{3}{5}| = |-0.6|,\quad$ fill the box with $ = .$

Work Step by Step

The absolute value of a real number a, denoted by $|a|$, is the distance from 0 to a on a number line. Because absolute value describes a distance, it is never negative. --- The distance from $\displaystyle \frac{3}{5}$ to zero is $\displaystyle \frac{3}{5}$ units , $|\displaystyle \frac{3}{5}|=\frac{3}{5},\qquad$ The distance from $-0.6$ to zero is $0.6$ units, $|-0.6|=0.6=\displaystyle \frac{6}{10}\qquad$ ... reduce with 2 $=\displaystyle \frac{3}{5}$ They are equal, and we write $|\displaystyle \frac{3}{5}| = |-0.6|,\quad$ fill the box with $ = .$
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