https://file.aiquickdraw.com/mathbot/file/17286156368946xanic6n.jpg

The image shows a set of number line models, with arrows representing addition or subtraction operations. The task is to match these number line models with the corresponding equations listed on the left. Let's analyze and match each number line to its equation.

### Given Equations:
- **A. -3 + (-2)**
- **B. 3 + (-2)**
- **C. -3 + 2**
- **D. 3 - (-2)**
- **E. -3 - 2**

### Matching Process:

1. **Equation A: -3 + (-2)**  
   - The starting point is -3, and adding (-2) moves left by 2 units. So, this would end at -5.
   - No number line in the image matches this exactly.

2. **Equation B: 3 + (-2)**  
   - Start at 3, and adding (-2) moves 2 units left, landing at 1.
   - The number line marked with the letter "B" indeed starts at 3 and moves left to 1, so this matches **Equation B**.

3. **Equation C: -3 + 2**  
   - Start at -3, and adding 2 means moving 2 units right, landing at -1.
   - The number line marked with the letter "C" starts at -3 and moves right to -1, matching **Equation C**.

4. **Equation D: 3 - (-2)**  
   - Start at 3, and subtracting (-2) means moving 2 units to the right, landing at 5.
   - The number line marked with the letter "D" starts at 3 and moves right to 5, matching **Equation D**.

5. **Equation E: -3 - 2**  
   - Start at -3, and subtracting 2 means moving 2 units left, landing at -5.
   - This matches the number line marked with "E," which starts at -3 and moves left to -5, matching **Equation E**.

### Final Matches:
- **B**: Equation B (3 + (-2))
- **C**: Equation C (-3 + 2)
- **D**: Equation D (3 - (-2))
- **E**: Equation E (-3 - 2)

Would you like further explanations or have any questions?

Here are five follow-up questions to explore:
1. How can you visually distinguish between addition and subtraction on a number line?
2. What is the effect of adding a negative number compared to subtracting a positive number?
3. How does subtracting a negative number compare to adding a positive number?
4. Can you describe how to interpret a number line for operations involving both positive and negative numbers?
5. How would you model multiplication or division on a number line?

**Tip**: When dealing with negative numbers, think of subtraction as moving left and addition as moving right on the number line.

Match the number line models to the appropriate equations.

This problem focuses on matching number line models to the correct equations involving the addition and subtraction of positive and negative numbers. Suitable for students in Grades 4-6, it helps reinforce number line operations and basic arithmetic.

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