Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.1 Algebra Essentials - A.1 Assess Your Understanding - Page A13: 148



Work Step by Step

We know that $\frac{2}{3}=0.66666...$ where the "$6$"s repeat indefinitely. Thus, we can say that the two values are not equal: $\frac{2}{3}\neq 0.666$ Furthermore, the fraction $2/3$ is larger because it has more "$6$"s after the decimal (an infinite number). Thus: $\frac{2}{3}\ \gt 0.666$ The fraction is greater than $0.666$ by the following amount: $\frac{2}{3}-0.666\gt0.000666...$
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