Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Practice and Problem-Solving Exercises - Page 21: 53



Work Step by Step

The set of integers is all of the whole numbers, and the negatives of the natural numbers. The set of integers looks like $\{….-3,-2,-1,0,1,2,3….\}$. A rational number is any number that can be represented by the quotient of two integers. All of the numbers in the set of integers can be expressed as the quotient of two integers, if we multiply them by $\frac{1}{1}$. For example, the integer $3$ can be written as $\frac{3}{1}$, and the integer $678$ can be written as $\frac{678}{1}$. Therefore, all integers are also rational.
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