Question

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

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

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:

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

Step 2. Calculation.

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 $9by25$.

$\begin{array}{l}250.369.00\\ \underset{¯}{75}\\ 150\\ \underset{¯}{150}\\ 0\end{array}$

$\frac{9}{25}=0.36$

Step 3. Further simplify.

Convert $17\%$ into decimal.

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

Then, convert $\frac{9}{50}$

$\begin{array}{l}500.189.00\\ \underset{¯}{50}\\ 400\\ \underset{¯}{400}\\ 0\end{array}$

$\frac{9}{50}=0.18$

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.

Step 4. Conclusion.

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