Question

Put these numbers in order from least to greatest:
1)9.42477796(3pi)
2)-5.8(-5 8/9)
3) 6.40312423(√41)
4)8.3

Answer 1

To compare the given numbers, let’s calculate their approximate decimal values:

1) \(9.42477796(3\pi)\):
- \(3\pi \approx 3 \times 3.14159265 \approx 9.42477796\).

2) \(-5.8(-5 \frac{8}{9})\):
- First convert \(-5 \frac{8}{9}\) to an improper fraction: \(-5.888888...\) or \(-5.89\) (approx).
- Multiplying, \(-5.8 \times -5.888888...\) results in a positive value around \(34.2\) (approx).

3) \(6.40312423(\sqrt{41})\):
- \(\sqrt{41} \approx 6.40312423\).
- \(6.40312423 \times 1 \) is just \(6.40312423\) (no additional multiplication).

4) \(8.3\):
- This number is already in decimal form, \(8.3\).

Now we can summarize the numbers for comparison:

1) \(9.42477796\) (approx \(9.42477796\))
2) \(34.2\) (approx from \(-5.8(-5\frac{8}{9})\))
3) \(6.40312423\)
4) \(8.3\)

Now, putting these values in order from least to greatest:

**Step**:
- \(6.40312423\)
- \(8.3\)
- \(9.42477796\)
- \(34.2\)

Thus, the ordered list from least to greatest is:

**Answer**:
6.40312423, 8.3, 9.42477796, 34.2