College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.3 - Complex Numbers; Quadratic Equations in the Complex Number System - 1.3 Assess Your Understanding: 1

Answer

rational numbers: $-3, 0, \dfrac{6}{5}$ integers: $-3, 0$

Work Step by Step

RECALL: (1) The set of integers are the numbers $0, 1, 2, 3, ...$ and $-1, -2, -3, ...$. (2) Rational numbers are numbers that can be expressed as the ratio $\dfrac{a}{b}$ where $a$ and $b$ are integers and $b\ne0$. Note that: (i) $-3 = \frac{-6}{2}$ (ii) $0 = \frac{0}{5}$ (iii) $\sqrt{2}$ and $\pi$ are irrational numbers Thus, the rational numbers among the elements of the given set are: $-3, 0, \text{ and } \frac{6}{5}$ The integers among the elements of the given set are: $-3$ and $0$
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