Question: Order these values from smallest (A) to largest (F)
0.625
−7
7
5/7
−0.625
−7/5
1. **State the problem:** We need to order the numbers $0.625$, $-7$, $7$, $\frac{5}{7}$, $-0.625$, and $-\frac{7}{5}$ from smallest to largest.
2. **Convert all numbers to decimals for easy comparison:**
- $0.625$ is already decimal.
- $-7$ is already decimal.
- $7$ is already decimal.
- $\frac{5}{7} = \frac{5}{7} \approx 0.714$ (since $5 \div 7 \approx 0.714$).
- $-0.625$ is already decimal.
- $-\frac{7}{5} = -1.4$ (since $7 \div 5 = 1.4$).
3. **List all values as decimals:**
- $-7$
- $-1.4$
- $-0.625$
- $0.625$
- $0.714$
- $7$
4. **Order from smallest to largest:**
$$-7 < -1.4 < -0.625 < 0.625 < 0.714 < 7$$
5. **Assign letters from smallest (A) to largest (F):**
- A: $-7$
- B: $-\frac{7}{5}$
- C: $-0.625$
- D: $0.625$
- E: $\frac{5}{7}$
- F: $7$
**Final answer:**
$$A = -7, B = -\frac{7}{5}, C = -0.625, D = 0.625, E = \frac{5}{7}, F = 7$$