https://file.aiquickdraw.com/mathbot/file/1726016084281nfiu2qh6.jpg

To solve the problem, we need to evaluate the expression given and identify which number line diagram corresponds to it.

### Expression Analysis:
The expression is:

\[
-2 \frac{1}{2} - \left(-1 \frac{1}{2}\right)
\]

This can be broken down as follows:

1. **Convert the mixed numbers to improper fractions:**
   - \( -2 \frac{1}{2} \) is equivalent to \( -\frac{5}{2} \).
   - \( -1 \frac{1}{2} \) is equivalent to \( -\frac{3}{2} \).

2. **Simplify the expression:**
   - \( -\frac{5}{2} - \left(-\frac{3}{2}\right) \)
   - This becomes \( -\frac{5}{2} + \frac{3}{2} \).

3. **Subtract the fractions:**
   - \( -\frac{5}{2} + \frac{3}{2} = -\frac{2}{2} = -1 \).

### Interpretation on the Number Line:
- The first segment should start at 0 and move left to \(-\frac{5}{2}\) (which is \( -2.5 \)).
- The second segment starts at \( -\frac{5}{2} \) and moves right to \(-\frac{1}{2}\) to add \(\frac{3}{2}\) (since adding a negative number moves to the left).
- The final point should be at \(-1\).

### Correct Answer:
Diagram **B** corresponds to this operation:
- The first arrow goes from 0 to \(-2.5\).
- The second arrow goes from \(-2.5\) back to \(-1\).

This matches our computation.

Would you like further details or have any questions? Here are some related questions for further exploration:

1. How do you convert mixed numbers to improper fractions?
2. What is the geometric interpretation of adding and subtracting fractions on a number line?
3. How do you subtract negative numbers?
4. Why does subtracting a negative number result in addition?
5. Can the process of solving number line problems be automated?

**Tip:** Always double-check each operation, especially when dealing with negatives and fractions, to avoid common mistakes.

Which number line diagram shows -2 1/2 - (-1 1/2)?

Learn how to solve the number line problem involving the subtraction of negative mixed numbers. This example covers the subtraction of -2 1/2 - (-1 1/2) and converting mixed numbers to improper fractions. Suitable for students in Grades 5-7.

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