Chapter 7.3, Problem 50E

To determine

To arrange:the given numbers on a number line from least to greatest.

Answer to Problem 50E

The numbers arranged from least to greatest on the number line

  

Explanation of Solution

Given information:

Information given in the question:

  $0.45,42\%,\frac{2}{5},4\%,0.5$

Calculation:

As per the problem,

Consider the numbers given:

  $0.45,42\%,\frac{2}{5},4\%,0.5$

Write each number in decimal form

  $\begin{array}{l}42\%=\frac{42}{100}\text{ [}p\%=\frac{p}{100}]\\ =0.42\end{array}$

Convert $\frac{2}{5}$ into decimal by dividing $\text{2 by 5}$

  $5\begin{array}{c}\hfill 0.4\\ \hfill \overline{)\begin{array}{l}2.0\\ \underset{\_}{20}\\ \text{ 0}\end{array}}\end{array}$

  $\frac{2}{5}=0.4$

Then,

  $\begin{array}{l}4\%=\frac{4}{100}\text{ [}p\%=\frac{p}{100}]\\ =0.04\end{array}$

Therefore,

  $0.45,0.42,0.4,0.04,0.5$

Arrange the decimals from least to greatest

  $0.04,0.4,0.42,0.45,0.5$

Write the numbers in their original form as given in the question

  $4\%,\frac{2}{5},42\%,0.45,0.5$

Represent the numbers on the number line from least to greatest