Chapter 4.7, Problem 44IP

To determine

To determine whether an integer is a rational number.

Answer to Problem 44IP

Always

Explanation of Solution

Given information: An integer is a rational number.

  $\begin{array}{l}\text{Rational numbers are those which can be written in the form of }\frac{\text{a}}{\text{b}},\text{b}\ne \text{0}\\ \\ \text{Within the rational numbers there are two groups,}\\ ·\text{ fraction such as }\frac{14}{2}\text{ which simplify to whole numbers and}\\ ·\text{ fraction which do not give whole numbers}\text{.}\left(\frac{4}{5},1.5,-\frac{8}{3}\right)\\ \\ \text{The whole numbers group are called integers , which can be positive, negative or zero}\text{.}\\ \text{Integers are divided into two groups }\\ ·\text{ the negative integers }\left(-1,-2,-3,\mathrm{........}\right)\\ ·\text{ counting numbers }\left(0,1,2,3,4,\mathrm{....}\right)\end{array}$