College Algebra (10th Edition)

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

Chapter R - Section R.1 - Real Numbers - R.1 Assess Your Understanding - Page 15: 28

Answer

Natural numbers: N/A Integers: N/A Rational numbers: $\frac{1}{2}$+10.3 Irrational numbers: $-\sqrt 2$, $\pi+\sqrt 2$ Real numbers: $\frac{1}{2}$+10.3, $-\sqrt 2$, $\pi+\sqrt 2$

Work Step by Step

Natural numbers: Are positive whole numbers that do NOT include zero. None of the numbers satisfy this criterion. Integers: Are whole numbers. None of the numbers satisfy this criterion. Rational numbers: Are numbers that can be made into a fraction of two integers. $\frac{1}{2}$+10.3 can form $\frac{5}{4}$, thus satisfying this criterion. Irrational numbers: Are numbers that cannot be made into a fraction of two integers. $-\sqrt 2$ and $\pi+\sqrt 2$ satisfy this criterion. Real numbers: Are all numbers that can exist on the number line. All of the numbers satisfy this criterion.
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