Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.1 - Real Numbers - 1.1 Exercises - Page 10: 34


a.) = b.) $\gt$ c.) =

Work Step by Step

a.) $\frac{2}{3}$ ? 0.67 The $\frac{2}{3}$ roughly equates to .$\overline{6}$ (The overline means that it keeps going on forever), so the 0.67 is $\frac{2}{3}$roughly rounded to the hundredth. $\frac{2}{3}$ = 0.67 b.) $\frac{2}{3}$ ? -0.67 Natural numbers are always bigger than negative integers $\frac{2}{3}$ $\gt$ -0.67 c.) $\mid$0.67$\mid$ ? $\mid$-0.67$\mid$ The Second Property of the Absolute value states $\mid$a$\mid$ = $\mid$-a$\mid$. This correlates that any number (despite being positive or negative) will always be positive. $\mid$0.67$\mid$ = $\mid$-0.67$\mid$
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