College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.2 - Real Numbers - P.2 Exercises: 10

Answer

(a) $\sqrt16$ (b) $-500,\sqrt16,-\frac{20}{5}$ (c) $1.3, 1.333..., 5.34, -500, 1\frac{2}{3}, \sqrt16, \frac{246}{579}, -\frac{20}{5}$ (d) $\sqrt5$

Work Step by Step

(a) Natural numbers are positive integers, so $\sqrt16=4$ qualifies. (b) Integers are positive or negative whole numbers and zero, so these numbers qualify: $-500, \sqrt16=4, -\frac{20}{5}=-4$ (c) Rational numbers are those that can be expressed as a ratio of integers. $1.3=13/10$, so it qualifies. $1.33\bar3=4/3$, so it qualifies. $5.34=534/100$, so it qualifies. $-500=-500/1$, so it qualifies. $1\frac{2}{3}=5/3$, so it qualifies $\sqrt16=4$, so it qualifies. $246/579$ qualifies. $-\frac{20}{5}$ qualifies. (d) Irrational numbers can not be expressed as ratios of integers, so $\sqrt5$ qualifies.
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