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 - Chapter Summary, Review, and Test - Review Exercises: 82

Answer

$\pi$ is a real number but is not a rational number.

Work Step by Step

Rational numbers are the numbers that can be expressed as a quotient of two integers. Thus, a number that cannot be expressed as a quotient of two integers is not a rational number. Such a number is called an irrational number. The number $\pi$ is not a rational number as it cannot be expressed as a quotient of two integers. $\pi = 3.14159265359...$ Thus, one example of a real number that is not a rational number is $\pi$.
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