Question

Which list orders the numbers from least to greatest?

3, negative 2.5, 1 and one-half, negative 2 and two-thirds, 1.3
1.3, 1 and one-half, negative 2.5, negative 2 and two-thirds, 3
negative 2.5, negative 2 and two-thirds, 1.3, 1 and one-half, 3
Negative 2.5, negative 2 and two-thirds, 1 and one-half, 1.3, 3
Negative 2 and two-thirds, negative 2.5, 1.3, 1 and one-half, 3

Answer 1

To determine the correct order of the numbers from least to greatest, let's first convert all numbers into decimal form:

- \(3 = 3.0\)
- \(-2.5 = -2.5\)
- \(1 \text{ and } \frac{1}{2} = 1 + 0.5 = 1.5\)
- \(-2 \text{ and } \frac{2}{3} = -2 - 0.6667 \approx -2.6667\) (more precisely, it’s exactly \(-\frac{8}{3}\), but we can keep it as \(-2.6667\) for simplicity)
- \(1.3 = 1.3\)

Now we can list the numbers in decimal form:

- \(-2.6667\) (which is \(-2 \frac{2}{3}\))
- \(-2.5\)
- \(1.5\) (which is \(1 \frac{1}{2}\))
- \(1.3\)
- \(3.0\)

Now, let's arrange these decimals from least to greatest:

1. \(-2.6667\)
2. \(-2.5\)
3. \(1.3\)
4. \(1.5\)
5. \(3.0\)

Now, let’s match this with the options provided:

1. **1.3, 1 and one-half, negative 2.5, negative 2 and two-thirds, 3** - Incorrect order
2. **negative 2.5, negative 2 and two-thirds, 1.3, 1 and one-half, 3** - Correct order
3. **Negative 2.5, negative 2 and two-thirds, 1 and one-half, 1.3, 3** - Incorrect order
4. **Negative 2.5, negative 2 and two-thirds, 1.3, 1 and one-half, 3** - Incorrect order
5. **Negative 2 and two-thirds, negative 2.5, 1.3, 1 and one-half, 3** - Incorrect order

Therefore, the correct answer is:

**Negative 2.5, negative 2 and two-thirds, 1.3, 1 and one-half, 3**.