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The problem asks to order the numbers \( 0.3, -0.3, 0.\overline{3}, -0.\overline{3} \) from least to greatest.

### Step-by-step breakdown:

1. **Identify the values:**
   - \( 0.3 \): This is exactly 0.3.
   - \( -0.3 \): This is exactly -0.3.
   - \( 0.\overline{3} \): This represents the repeating decimal \( 0.333\ldots \), which is equivalent to \( \frac{1}{3} \approx 0.3333\ldots \).
   - \( -0.\overline{3} \): This represents the repeating decimal \( -0.333\ldots \), which is equivalent to \( -\frac{1}{3} \approx -0.3333\ldots \).

2. **Compare the values:**
   - The smallest number is \( -0.\overline{3} \) (approximately -0.3333).
   - Then comes \( -0.3 \) (which is greater than \( -0.\overline{3} \)).
   - Next is \( 0.3 \).
   - Finally, \( 0.\overline{3} \), which is slightly larger than 0.3, comes last.

3. **Order from least to greatest:**
   \[
   -0.\overline{3}, -0.3, 0.3, 0.\overline{3}
   \]

This is the correct order from least to greatest.

Would you like further clarification on any part of this solution?

### Related questions:
1. How can you convert repeating decimals into fractions?
2. Why is \( 0.\overline{3} \) slightly larger than \( 0.3 \)?
3. What is the mathematical difference between terminating and repeating decimals?
4. Can repeating decimals always be represented as fractions?
5. How do you compare negative and positive decimals more easily?

**Tip:** When ordering decimals, negative numbers are always smaller than positive numbers, and repeating decimals are often slightly larger than their non-repeating counterparts!

Order the numbers 0.3, -0.3, 0.333..., -0.333... from least to greatest.

Learn how to order the numbers 0.3, -0.3, 0.333..., and -0.333... from least to greatest. This problem covers comparing decimals, negative numbers, and repeating decimals. Suitable for students in Grades 5-7.

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