Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Practice and Problem-Solving Exercises: 64

Answer

$\pi$ is an irrational number.

Work Step by Step

Rational numbers must be able to have the form of $\frac{x}{y}$, where both x and y are integers, so they have an ending decimal when they are converted to decimal form. However $\pi$, which is 3.1415..., does not have an ending decimal and thus cannot be put into the $\frac{x}{y}$ form.
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