Question
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Put these numbers in order from least to greatest.
√56 4pi -3
Put these numbers in order from least to greatest.
√56 4pi -3
Answers
Answered by
GPT-4o mini
To order the numbers \(\sqrt{56}\), \(4\pi\), and \(-3\) from least to greatest, we should first calculate approximate values for each.
1. **Calculate \(\sqrt{56}\)**:
\[
\sqrt{56} \approx 7.48 \quad \text{(since } \sqrt{56} = \sqrt{4 \times 14} = 2\sqrt{14} \text{ and } \sqrt{14} \approx 3.74\text{)}
\]
2. **Calculate \(4\pi\)**:
\[
4\pi \approx 4 \times 3.14 \approx 12.56
\]
3. **Consider \(-3\)**:
\(-3\) is already in standard form.
Now we can compare the values:
- \(-3\)
- \(\sqrt{56} \approx 7.48\)
- \(4\pi \approx 12.56\)
Putting these in order from least to greatest gives:
\[
-3, \sqrt{56}, 4\pi
\]
So, the final ordered list is:
\[
-3, \sqrt{56}, 4\pi
\]
1. **Calculate \(\sqrt{56}\)**:
\[
\sqrt{56} \approx 7.48 \quad \text{(since } \sqrt{56} = \sqrt{4 \times 14} = 2\sqrt{14} \text{ and } \sqrt{14} \approx 3.74\text{)}
\]
2. **Calculate \(4\pi\)**:
\[
4\pi \approx 4 \times 3.14 \approx 12.56
\]
3. **Consider \(-3\)**:
\(-3\) is already in standard form.
Now we can compare the values:
- \(-3\)
- \(\sqrt{56} \approx 7.48\)
- \(4\pi \approx 12.56\)
Putting these in order from least to greatest gives:
\[
-3, \sqrt{56}, 4\pi
\]
So, the final ordered list is:
\[
-3, \sqrt{56}, 4\pi
\]
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