Chapter 7.1, Problem 46E

To determine

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

Answer to Problem 46E

The numbers arranged from least to greatest on the number line

  

Explanation of Solution

Given information:

Information given in the question:

  $89\%,\frac{4}{5},\frac{7}{10},0.83$

Calculation:

As per the problem,

Consider the numbers given:

  $89\%,\frac{4}{5},\frac{7}{10},0.83$

Write each number in decimal form

  $\begin{array}{l}89\%=\frac{89}{100}\text{ [}p\%=\frac{p}{100}]\\ =0.89\end{array}$

Convert $\frac{4}{5}$ into decimal by dividing $4\text{ by 5}$

  $\begin{array}{l}5\begin{array}{c}\hfill 0.8\\ \hfill \overline{)4.0}\end{array}\\ \underset{\_}{40}\\ \text{ 0}\end{array}$

  $\frac{4}{5}=0.8$

Similarly,

  $\frac{7}{10}=0.7$

Therefore,

  $0.89,0.8,0.7,0.83$

Arrange the decimals from least to greatest

  $0.7,0.8,0.83,0.89$

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

  $\frac{7}{10},\frac{4}{5},0.83,89\%$

Represent the numbers on the number line from least to greatest