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Q47.

Expert-verified
Found in: Page 348

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Use a number line to order the numbers from least to greatest.$54%,\frac{9}{20},0.62,\frac{16}{25}$

The numbers arranged from least to greatest on the number line

See the 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.

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

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.