Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.3 - The Real Numbers - Exercise Set - Page 43: 103

Answer

Rational numbers are numbers that can be expressed in the form $\displaystyle \frac{a}{b}\\$ , where a and b are integers and b is not equal to 0, written $b\neq 0$. In decimal form, the decimal part either terminates, or has a repeating block of digits.

Work Step by Step

The set of rational numbers is the set of all numbers that can be expressed in the form $\displaystyle \frac{a}{b}$ , where a and b are integers and b is not equal to 0, written $b\neq 0$. The integer a is called the numerator and the integer b is called the denominator. All integers are rational numbers, because we can write the integer as fraction with dfenominator 1. Any rational number can be expressed as a decimal. The resulting decimal will either terminate (stop), or it will have a digit that repeats or a block of digits that repeat. Rational numbers are numbers that can be expressed in the form $\displaystyle \frac{a}{b}$ , where a and b are integers and b is not equal to 0, written $b\neq 0$. In decimal form, the decimal part either terminates, or has a repeating block of digits.
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