Let's convert all given numbers into decimal form for easy comparison.

1. Negative 8.2 repeating:
   $-8.\overline{2} = -8.2222...$

2. Negative eight and four sevenths:
   $-8 - \frac{4}{7} = -8 - 0.5714 = -8.5714$

3. Square root of 70:
   $\sqrt{70} \approx 8.3666$

4. Twenty-five thirds:
   $\frac{25}{3} = 8.3333$

Ordering from Least to Greatest:

• Least: $-8.5714$ (Negative eight and four sevenths)
• Next: $-8.2222...$ (Negative 8.2 repeating)
• Next: $8.3333$ (Twenty-five thirds)
• Greatest: $8.3666$ (Square root of 70)

Correct Answer:

A: Negative eight and four sevenths, negative 8.2 repeating, square root of 70, twenty-five thirds.

Would you like a further breakdown? Here are some related questions:

1. How do you convert fractions into decimals?
2. What are some common repeating decimals and their fraction equivalents?
3. How do you estimate square roots without a calculator?
4. How does ordering negative numbers differ from positive numbers?
5. How can number lines help visualize comparisons?

Tip: When comparing numbers, converting them all to decimal form makes it easier to see their relative sizes.