Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter R - Section R.1 - Basic Concepts - R.1 Exercises - Page 10: 24

Answer

a) Natural Numbers: 5, 17, $\frac{40}{2}$ b) Whole Numbers: 0, 5, 17, $\frac{40}{2}$ c) Integers: -8, 0, 5, 17, $\frac{40}{2}$ d) Rational Numbers: -8, -0.6, 0, $\frac{3}{4}$, 5, $\frac{13}{2}$, 17, $\frac{40}{2}$ e) Irrational Numbers: -$\sqrt 5$, $\sqrt 3$, $\pi$

Work Step by Step

For the following answers, keep in mind that $\frac{40}{2}$ can be reduced to 20. a) Natural Numbers: 5, 17, $\frac{40}{2}$ (The set of Natural Numbers includes {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ...}) b) Whole Numbers: 0, 5, 17, $\frac{40}{2}$ (The set of Whole Numbers includes {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ...}) c) Integers: -8, 0, 5, 17, $\frac{40}{2}$ (The set of Integers includes {...-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 ...}) d) Rational Numbers: -8, -0.6, 0, $\frac{3}{4}$, 5, $\frac{13}{2}$, 17, $\frac{40}{2}$ (The set of Rational Numbers are all numbers that can be written in fractional form. This includes Natural Numbers, Whole Numbers, fractions, and repeating decimals using repetends) e) Irrational Numbers: -$\sqrt 5$, $\sqrt 3$, $\pi$ (The set of Irrational Numbers are all numbers that cannot be written in fractional form. This will include square roots that are not perfect squares and pi.)
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