Chapter 7.3, Problem 49E

To determine

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

Answer to Problem 49E

The numbers arranged from least to greatest on the number line

  

Explanation of Solution

Given information:

Information given in the question:

  $150\%,2,\frac{5}{3},100\%,\frac{3}{4}$

Calculation:

As per the problem,

Consider the numbers given:

  $150\%,2,\frac{5}{3},100\%,\frac{3}{4}$

Write each number in decimal form or mix fraction form

  $\begin{array}{l}150\%=\frac{150}{100}\text{ [}p\%=\frac{p}{100}]\\ =1.5\end{array}$

Convert $\frac{5}{3}$ into decimal by dividing $\text{5 by 3}$

  $3\begin{array}{c}\hfill 1\\ \hfill \overline{)\begin{array}{l}5\\ \underset{\_}{3}\\ 2\end{array}}\end{array}$

  $\frac{5}{3}=1\frac{2}{3}$

Then,

  $\begin{array}{l}100\%=\frac{100}{100}\text{ [}p\%=\frac{p}{100}]\\ =1.0\end{array}$

Convert $\frac{3}{4}$ into decimal

  $4\begin{array}{c}\hfill 0.75\\ \hfill \overline{)\begin{array}{l}3.00\\ \underset{\_}{28}\\ \text{ 20}\\ \underset{\_}{20}\\ \text{ 0}\\ \end{array}}\end{array}$

  $\frac{3}{4}=0.75$

Therefore,

  $1.5,2.0,1\frac{2}{3},1.0,0.75$

Arrange the decimals from least to greatest

  $0.75,1.0,1.5,1\frac{2}{3},2$

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

  $\frac{3}{4},100\%,150\%,\frac{5}{3},2$

Represent the numbers on the number line from least to greatest