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4)) Put these numbers in order from least to greatest. \begin{tabular}{|c|c|c|c|}\hline 7 & \( -7 \frac{7}{28} \) & \( 7 \frac{7}{20} \) & 0.48 \\ \hline\end{tabular}

Ask by Stewart Schwartz. in the United States
Jan 23,2025

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Answer

The numbers from least to greatest are: \(-7 \frac{7}{28}\), \(0.48\), \(7\), \(7 \frac{7}{20}\).

Solution

To arrange the given numbers from least to greatest, let's first convert each number to its decimal form for easier comparison: 1. **\(-7 \frac{7}{28}\)** - Convert the mixed number to an improper fraction: \[ -7 \frac{7}{28} = -\left(7 + \frac{7}{28}\right) = -\left(7 + 0.25\right) = -7.25 \] 2. **\(0.48\)** - This number is already in decimal form: \[ 0.48 \] 3. **\(7\)** - This is an integer, which can be considered as: \[ 7.00 \] 4. **\(7 \frac{7}{20}\)** - Convert the mixed number to an improper fraction: \[ 7 \frac{7}{20} = 7 + \frac{7}{20} = 7 + 0.35 = 7.35 \] Now, let's list them in decimal form for clarity: - \(-7.25\) - \(0.48\) - \(7.00\) - \(7.35\) **Arranged from least to greatest:** \[ -7 \frac{7}{28} \quad \text{,} \quad 0.48 \quad \text{,} \quad 7 \quad \text{,} \quad 7 \frac{7}{20} \] **Final Answer:** \[ -7 \frac{7}{28}, \quad 0.48, \quad 7, \quad 7 \frac{7}{20} \]

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To compare the numbers effectively, first convert \( -7 \frac{7}{28} \) and \( 7 \frac{7}{20} \) to their decimal equivalents. The mixed number \( -7 \frac{7}{28} \) simplifies to \( -7.25 \) and \( 7 \frac{7}{20} \) converts to \( 7.35 \). Now, in decimal form, the numbers you have are: 1. \( -7.25 \) 2. \( 0.48 \) 3. \( 7.35 \) 4. \( 7 \) Putting them together from least to greatest, the order is: \( -7.25, 0.48, 7, 7.35. \) So the final answer is: \[ -7 \frac{7}{28}, 0.48, 7, 7 \frac{7}{20} \]

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