College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.1 - Real Numbers - R.1 Assess Your Understanding - Page 15: 24

Answer

Natural numbers: 1 Integers: 0, 1 Rational numbers: $\frac{x}{y}$, 2.060606, 1.25, 0, 1 Irrational numbers: $\sqrt 5$ Real numbers: $-\frac{5}{3}$, 2.060606, 1.25, 0, 1, $\sqrt 5$

Work Step by Step

Natural numbers: Are positive whole numbers that do NOT include zero. 1 is the only number that satisfies this criterion. Integers: Are whole numbers. 1 and 0 both satisfy this criterion. Rational numbers: Are numbers that can be made into a fraction of two integers. $-\frac{5}{3}$, 2.060606 ($\frac{68}{33}$), 1.25 ($\frac{5}{4}$), 0 ($\frac{0}{1}$), 1 ($\frac{1}{1}$) satisfy this criterion. Irrational numbers: Are numbers that cannot be made into a fraction of two integers. $\sqrt 5$ satisfies this criterion. Real numbers: Are all numbers that can exist on the number line.$-\frac{5}{3}$, 2.060606, 1.25, 0, 1, $\sqrt 5$ satisfy this criterion.
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