## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 1 - Section 1.3 - The Real Numbers - Exercise Set - Page 42: 36

#### Answer

a. Natural: $\sqrt{4}$ b. Whole: $0,\sqrt{4}$ c. Integer: $-5,0,\sqrt{4}$ d. Rational: $-5,-0.\overline{3},0, \sqrt{4}$ e. Irrational: $\sqrt{2}$ f. Real: all of them

#### Work Step by Step

The set of natural numbers is { 1, 2, 3, 4, 5, ... } . The set of whole numbers is { 0, 1, 2, 3, 4, 5, ... } The set of integers is {... , -4, -3, -2, -1,0, 1, 2, 3, 4,...} The set of rational numbers$: \displaystyle \frac{a}{b},\ b\neq 0$, and b integers Irrational numbers: are not rational (can not be written as $\displaystyle \frac{a}{b},\ b\neq 0$) Real numbers: all rational and irrational numbers. --- $-5$ is a negative integer, all integers are rational $-0.\displaystyle \overline{3}=-\frac{1}{3}$ is a rational number $0$ is a whole number, an integer, rational $\sqrt{5 }$ is irrational $\sqrt{4}=2,$ natural, whole, integer, rational. a. Natural: $\sqrt{4}$ b. Whole: $0,\sqrt{4}$ c. Integer: $-5,0,\sqrt{4}$ d. Rational: $-5,-0.\overline{3},0, \sqrt{4}$ e. Irrational: $\sqrt{2}$ f. Real: all of them

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.