Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.1 - Algebraic Expressions, Mathematical Models, and Real Numbers - Exercise Set - Page 17: 38


a. $\sqrt 4$ b. 0, $\sqrt 4$ c. -5, 0, $\sqrt 4$ d. -5, -$\frac{3}{9}$ (the fraction expression of -0.3 repeating), 0, $\sqrt 4$ e. $\sqrt 2$ f. -5, -$\frac{3}{9}$, 0, $\sqrt 2$, $\sqrt 4$

Work Step by Step

a. Natural numbers are all positive numbers. The square root of 4 is equal to 2 ($\sqrt 4$=2). b. Whole numbers are all natural numbers and 0. c. Integers are all whole numbers and the negatives of the natural numbers. d. Rational numbers can be expressed as a fraction of two integers in which the denominator cannot equal 0. They can also be expressed as repeating decimals. -5 can be expressed as -$\frac{5}{1}$, 0 can be expressed as $\frac{0}{1}$, and $\sqrt 4$ can be expressed as $\frac{\sqrt 4}{1}$. e. Irrational numbers are all numbers whose decimal representations are not repeating and thus cannot be expressed as a quotient of integers. f. Real numbers are all numbers that are either rational or irrational.
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