Pregunta
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
Solución de tutoría real
Respuesta verificada por el tutor
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The numbers from least to greatest are: \(-7 \frac{7}{28}\), \(0.48\), \(7\), \(7 \frac{7}{20}\).
Solución
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:**
\[
-7 \frac{7}{28}, \quad 0.48, \quad 7, \quad 7 \frac{7}{20}
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Mind Expander
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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