Question

least to greatest
17/22 0.78 - square root of 8 - 58/20

Answer 1

To compare the given numbers \( \frac{17}{22} \), \( 0.78 \), \( \sqrt{8} \), and \( -\frac{58}{20} \), let's convert them into decimal form for easier comparison.

1. **Convert \( \frac{17}{22} \) to decimal:**
\[
\frac{17}{22} \approx 0.7727
\]

2. **Evaluate \( 0.78 \):**
\[
0.78 = 0.78
\]

3. **Calculate \( \sqrt{8} \):**
\[
\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2} \approx 2 \times 1.414 \approx 2.828
\]

4. **Convert \( -\frac{58}{20} \) to decimal:**
\[
-\frac{58}{20} = -\frac{29}{10} = -2.9
\]

Now we have the following decimal approximations:
- \( \frac{17}{22} \approx 0.7727 \)
- \( 0.78 = 0.78 \)
- \( \sqrt{8} \approx 2.828 \)
- \( -\frac{58}{20} = -2.9 \)

By comparing these values, we can arrange them from least to greatest:
- \( -2.9 \)
- \( 0.7727 \) (which is \( \frac{17}{22} \))
- \( 0.78 \)
- \( 2.828 \) (which is \( \sqrt{8} \))

Therefore, in order from least to greatest:
\[
-\frac{58}{20}, \frac{17}{22}, 0.78, \sqrt{8}
\]

Or in the original fractions/roots:
\[
-\frac{58}{20}, \frac{17}{22}, 0.78, \sqrt{8}
\]