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 - 5.3 The Rational Numbers - Concept and Vocabulary Check: 3

Answer

The decimals either $\underline{\text{repeat}}$ or $\underline{\text{terminate}}$.

Work Step by Step

Decimals either repeat or terminate if an equivalent fraction can be expressed in the form $a/b$, where both a and b are integers, and b does not equal 0. Thus, we know that repeating or terminating decimals are rational numbers.
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