Subjects algebra

Order Values Fe3E17

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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. - $\frac{5}{7} = \frac{5}{7} \approx 0.7142857$ - $-0.625$ is already decimal. - $-\frac{7}{5} = -1.4$ 3. **List all values with decimals:** - $-7$ - $-1.4$ - $-0.625$ - $0.625$ - $0.7142857$ - $7$ 4. **Order from smallest to largest:** $-7 < -1.4 < -0.625 < 0.625 < 0.7142857 < 7$ 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:** $$\boxed{A = -7, B = -\frac{7}{5}, C = -0.625, D = 0.625, E = \frac{5}{7}, F = 7}$$