Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Review Exercises - Page 142: 8

Answer

a. $\sqrt {81}=9$ b. $0,\sqrt {81}=9$ c. $-17, 0,\sqrt {81}=9$ d. $-17, -\frac{9}{13}, 0, 0.75,\sqrt {81}=9$ e. $\sqrt 2, \pi$ f. all numbers from the list.

Work Step by Step

a. natural numbers are whole numbers excluding zero, thus we have $\sqrt {81}=9$ as a natural number from the list. b. whole numbers are positive integers including zero; thus we have $0,\sqrt {81}=9$ as whole numbers from the list. c. integers include both positive and negative whole numbers; thus we have $-17, 0,\sqrt {81}=9$ as integers from the list. d. rational numbers are numbers that can be expressed as the ratio of integers (excluding zero in the denominator); thus we have $-17, -\frac{9}{13}, 0, 0.75,\sqrt {81}=9$ as rational numbers from the list. e. irrational numbers are real numbers excluding rational numbers, thus we have $\sqrt 2, \pi$ as irrational numbers from the list. f. real numbers: all numbers from the list are real numbers.
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