Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.1 - Review of Real Numbers and Their Properties - Exercises - Page 12: 9

Answer

(a) 1 (b) 1 (c) -13, 1, -6 (d) 2.01, 0.666..., 1 (e) 0.01011011

Work Step by Step

(a) 1 is a whole number as it has no fractional component - the whole number set includes 0. (b) 1 is a natural number as it has no fractional component. (c) Integers are all whole numbers with their negative counterparts - which hence includes the positive '1' and the two negative whole numbers '-13' and '-6'. (d) Rational numbers are those which can be expressed as a fraction. 2.01 can be expressed as \frac{201}{100}, 0.666... as \frac{2}{3}, and 1 as \frac{1}{1}. (e) Irrational numbers are those which cannot be expressed as fractions and are not whole numbers - they have decimal values. Hence, 0.01011011 is irrational as it can't be expressed as a fraction.
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