Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 1 - Foundations for Algebra - Cumulative Test Prep - Multiple Choice - Page 75: 15


C) Every integer is a rational number.

Work Step by Step

The circle labeled integers is fully contained within the circle labeled rational numbers, so every integer is a rational number. Every rational number is not an integer because there are areas of the circle labeled rational numbers that fall outside the circle labeled integers. For example, 3.5 is a rational number but is not an integer. Irrational numbers are real numbers, so it is not true that every real number is a rational number. The area labeled real numbers contains area that is outside the circle labeled rational numbers. The circle labeled irrational numbers is outside the circle labeled integers, so irrational numbers are not integers.
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