Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.1 - Algebraic Expressions, Real Numbers, and Interval Notation - Exercise Set: 110

Answer

Rational numbers are numbers that can be expressed as a quotient (or ratio) of two integers, $q$ and $n$, $\frac{q}{n}$, where $n\ne0$. Irrational numbers are numbers that cannot be expressed as a quotient (or ratio) of two integers.

Work Step by Step

Rational numbers are numbers that can be expressed as a quotient (or ratio) of two integers $q$ and $n$, $\frac{q}{n}$, where $n\ne0$. Irrational numbers are numbers that cannot be expressed as a quotient (or ratio) of two integers. In other words, to determine if a number is irrational, we first see if it is rational. If a real number is not a rational number, then we know that it must be an irrational number.
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