Chapter 1.2, Problem 14PPSE

Solution

To Graph: The number $-\sqrt{24}$ on a number line.

Given information:

The given number is $-\sqrt{24}$ .

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 $-\sqrt{24}$ :

Use a calculator to get the approximate value of $\sqrt{24}$ .

  $\begin{array}{c}\sqrt{24}\approx 4.89\\ -\sqrt{24}\approx -4.89\end{array}$

  $-4.89$ lies between $-4\text{and}-5$ . Now locate the number $-4.89$ on the number line.

  

Interpretation: From the graph it is clear that $-\sqrt{24}=-4.89$ is the number that lies between $-4\text{and}-5$ .