College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Review Exercises - Page 74: 25

Answer

$\text{1) irrational number, } \text{2) real number} $

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the definitions of the different classification of numbers. $\bf{\text{Solution Details:}}$ Natural numbers are the numbers $\{1,2,3,...\}$. Whole numbers are the numbers $\{0,1,2,3,...\}$. Integers are the numbers $\{...,-3,-2,-1, 0,1,2,3,...\}.$ Rational numbers are numbers that can be expressed as the ratio between $2$ integers. Irrational numbers are numbers that CANNOT be expressed as the ratio between $2$ integers. Real numbers are the combined numbers in the set of rational and irrational numbers. The given number, $ \dfrac{4\pi}{5} ,$ is a non-terminating and non-repeating number. Hence, it is classified as \begin{array}{l}\require{cancel} \text{1) irrational number, } \text{2) real number} .\end{array}
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