Question

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

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

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:

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

Step 2. Calculation.

Consider the numbers given:

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

Write each number in decimal form.

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

Convert $\frac{9}{20}$ into decimal by dividing $9by20$.

$\begin{array}{l}200.459.00\\ \underset{¯}{80}\\ 100\\ \underset{¯}{100}\\ 0\end{array}$

$\frac{9}{20}=0.45$

Similarly, convert $\frac{16}{25}$.

$\begin{array}{l}250.6416.00\\ \underset{¯}{150}\\ 100\\ \underset{¯}{100}\\ 0\end{array}$

$\frac{16}{25}=0.64$

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.

Step 3. Conclusion.

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