Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.4 The Irrational Numbers - Exercise Set 5.4 - Page 298: 87

Answer

$\pi$ is an irrational number so it cannot be expressed as a fraction.

Work Step by Step

$\pi$ is an irrational number so it is a non-repeating, non-terminating decimal. Thus, its value cannot be expressed as a fraction such as $\frac{22}{7}$. Thus, the given statement is wrong. $\dfrac{22}{7}$ is only an approximation of the value of $\pi$.
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