Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5: 2

Answer

Natural: $\sqrt 49$ (because the square root of 49 is 7) Whole: 0, and $\sqrt 49$ Integers: -7, 0, $\sqrt 49$ Rational: All the integers listed above plus -7 and -0.6 (with the bar over the six) Irrational: $\sqrt 50$ Real: All numbers listed above.

Work Step by Step

Natural Numbers are the set N - 1, 2, 3, 4, ... Whole numbers just add 0 to the natural numbers. Integers are the set of natural numbers, their opposites and zero. Rational numbers may be written as a fraction or as a terminating or repeating decimal. Irrational numbers have non-terminating, non-repeating decimal representations. All of the numbers in the list are real numbers.' Note: The bar over the 6 in -0.6 indicates that the 6 repeats indefinitely
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