Question

Use a number line to order the numbers from least to greatest.

$\mathbf{89}\mathbf{\%}\mathbf{,}\frac{\mathbf{4}}{\mathbf{5}}\mathbf{,}\frac{\mathbf{7}}{\mathbf{10}}\mathbf{,}\mathbf{0}\mathbf{.}\mathbf{83}$

Short answer

The numbers arranged from least to greatest on the number line

Step-by-step solution

Step 1. Given Information.

Information given in the question:

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

Step 2. Calculation.

Consider the numbers given:

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

Write each number in decimal form.

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

Convert $\frac{4}{5}$ into decimal by dividing $4by5$.

$\begin{array}{l}50.84.0\\ \underset{¯}{40}\\ 0\end{array}$

$\frac{4}{5}=0.8$

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.

Step 3. Conclusion.

The given numbers have been arranged from least to greatest on the number line shown below.