Chapter 7.1, Problem 48E

To determine

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

Answer to Problem 48E

The numbers arranged from least to greatest on the number line

  

Explanation of Solution

Given information:

Information given in the question:

  $\frac{9}{25},17\%,0.22,\frac{9}{50}$

Calculation:

As per the problem,

Consider the numbers given:

  $\frac{9}{25},17\%,0.22,\frac{9}{50}$

Write each number in decimal form

Convert $\frac{9}{25}$ into decimal by dividing $\text{9 by 25}$

  $\begin{array}{l}25\begin{array}{c}\hfill 0.36\\ \hfill \overline{)9.00}\end{array}\\ \underset{\_}{75}\\ \text{ 150}\\ \underset{\_}{150}\\ 0\end{array}$

  $\frac{9}{25}=0.36$

Convert $17\%$ into decimal

  $\begin{array}{l}17\%=\frac{17}{100}\text{ [}p\%=\frac{p}{100}]\\ =0.17\end{array}$

Then, convert

  $\frac{9}{50}$

  $\begin{array}{l}50\begin{array}{c}\hfill 0.18\\ \hfill \overline{)9.00}\end{array}\\ \underset{\_}{50}\\ \text{ 400}\\ \underset{\_}{400}\\ 0\end{array}$

  $\frac{9}{50}=0.18$

Therefore,

  $0.36,0.17,0.22,0.18$

Arrange the decimals from least to greatest

  $0.17,0.18,0.22,0.36$

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

  $17\%,\frac{9}{50},0.22,\frac{9}{25}$

Represent the numbers on the number line from least to greatest