Question

Which set of rational numbers are ordered from least to greatest?
A number line going from negative 3 to positive 3 in increments of 1.
Negative 2 and StartFraction 5 Over 6 EndFraction, negative two-thirds, 1 and StartFraction 1 Over 6 EndFraction, 1 and StartFraction 5 Over 6 EndFraction
1 and StartFraction 5 Over 6 EndFraction, 1 and StartFraction 1 Over 6 EndFraction, negative two-thirds, negative 2 and StartFraction 5 Over 6 EndFraction
Negative two-thirds, 1 and one-sixth, 1 and StartFraction 5 Over 6 EndFraction, negative 2 and StartFraction 5 Over 6 EndFraction
Negative 2 and StartFraction 5 Over 6 EndFraction, 1 and StartFraction 5 Over 6 EndFraction, 1 and one-sixth, negative two-thirds

Answer 1

To order the numbers from least to greatest, we first need to convert all the numbers to a comparable form (either decimals or improper fractions).

The numbers are:
1. **-2 and \( \frac{5}{6} \)** = -2.8333 (approx)
2. **-2/3** = -0.6667 (approx)
3. **1 and \( \frac{1}{6} \)** = 1.1667 (approx)
4. **1 and \( \frac{5}{6} \)** = 1.8333 (approx)

Now we can order them from least to greatest based on their decimal values:
- **-2 and \( \frac{5}{6} \)** = -2.8333
- **-2/3** = -0.6667
- **1 and \( \frac{1}{6} \)** = 1.1667
- **1 and \( \frac{5}{6} \)** = 1.8333

Therefore, the correct ordering from least to greatest is:
- **Negative 2 and \( \frac{5}{6} \)**
- **Negative two-thirds**
- **1 and \( \frac{1}{6} \)**
- **1 and \( \frac{5}{6} \)**

This corresponds to:
**Negative 2 and \( \frac{5}{6} \), negative two-thirds, 1 and \( \frac{1}{6} \), 1 and \( \frac{5}{6} \)**

So, the answer is:
**Negative 2 and \( \frac{5}{6} \), negative two-thirds, 1 and \( \frac{1}{6} \), 1 and \( \frac{5}{6} \)**.