Chapter 4.2, Problem 58STP

To determine

To check: whether which of the given number is closest to the zero on the number line.

Answer to Problem 58STP

B. $\frac{2}{5}$ .

Explanation of Solution

Given:

The number line is:

  

The given option is:

1. $-0.6$
2. $\frac{2}{5}$
3. $\frac{\sqrt{2}}{2}$
4. $0.5$

Calculation:

First convert all the given option in to decimal number:

  $\begin{array}{l}-0.6\text{ {already in decimal number}}\\ \frac{2}{5}\text{=0}\text{.4 {convert in to decimal number}}\\ \frac{\sqrt{2}}{2}\text{=1}\text{.414 {convert in to decimal number}}\\ 0.5\text{ {already in decimal number}}\end{array}$

From all the given option, $\text{0}\text{.4}$ is the closest to the zero on the number line.

Hence, the correct option (B).