Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.1 - Real Numbers - 1.1 Exercises - Page 10: 10


a. There are none. b. -500, -$\frac{20}{5}$, $\sqrt 16$ c.1$\frac{2}{3}$, 1.3, 1.333333..., 5.34, $\frac{246}{579}$ d. $\sqrt 5$

Work Step by Step

a. There are no positive integers. b. -500 is a negative integer, so it is not a natural number, but it is still an integer. -$\frac{20}{5}$ simplifies out to -4 which is a negative integer. $\sqrt 16$ simplifies out to -4 or 4. It is not a natural number because -4 is negative. c. 1$\frac{2}{3}$, 1.3, 1.333333..., 5.34, and $\frac{246}{579}$ are rational numbers because they can be represented in ratios of two numbers. d. $\sqrt 5$ is irrational because it cannot be represented in a ratio of two numbers.
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