Chapter 7.1, Problem 47E

To determine

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

Answer to Problem 47E

The numbers arranged from least to greatest on the number line

  

Explanation of Solution

Given information:

Information given in the question:

  $54\%,\frac{9}{20},0.62,\frac{16}{25}$

Calculation:

As per the problem,

Consider the numbers given:

  $54\%,\frac{9}{20},0.62,\frac{16}{25}$

Write each number in decimal form

  $\begin{array}{l}54\%=\frac{54}{100}\text{ [}p\%=\frac{p}{100}]\\ =0.54\end{array}$

Convert $\frac{9}{20}$ into decimal by dividing $\text{9 by 20}$

  $\begin{array}{l}20\begin{array}{c}\hfill 0.45\\ \hfill \overline{)9.00}\end{array}\\ \underset{\_}{80}\\ \text{ 100}\\ \underset{\_}{100}\\ 0\end{array}$

  $\frac{9}{20}=0.45$

Similarly, convert

  $\frac{16}{25}$

  $\begin{array}{l}25\begin{array}{c}\hfill 0.64\\ \hfill \overline{)16.00}\end{array}\\ \underset{\_}{150}\\ \text{ 100}\\ \underset{\_}{100}\\ 0\end{array}$

  $\frac{16}{25}=0.64$

Therefore,

  $0.54,0.45,0.62,0.64$

Arrange the decimals from least to greatest

  $0.45,0.54,0.62,0.64$

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

  $\frac{9}{20},54\%,0.62,\frac{16}{25}$

Represent the numbers on the number line from least to greatest