Chapter 1.2, Problem 21PPSE

Solution

To Graph: The number $-2\frac{1}{5}$ on a number line.

Given information:

The given number is $-2\frac{1}{5}$ .

Graph:

A number line is a straight line with numbers placed at equal interval from each other where 0 lies in the middle separating the positive and negative numbers.

Now consider the given number $-2\frac{1}{5}$ :

First simplify $-2\frac{1}{5}$ ,

  $\begin{array}{c}-2\frac{1}{5}=\frac{-10-1}{5}\\ -\frac{11}{5}\approx -2.2\end{array}$

The number $-2\frac{1}{5}\approx -2.2$ lies between $-3\text{and}-2$ . Now locate the number $-2.2$ on the number line.

  

Interpretation: From the graph it is clear that $-2\frac{1}{5}$ is the number between $-3\text{and}-2$ .