On a number line, find (-7) + (-5)

Answer

To solve the problem (-7) + (-5) on a number line, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to add two negative integers: -7 and -5.

2. **Rewrite the Expression**: The expression (-7) + (-5) can be rewritten as -7 + (-5).

3. **Combine the Integers**: When adding two negative numbers, we add their absolute values and keep the negative sign.
- The absolute value of -7 is 7.
- The absolute value of -5 is 5.
- Now, add these absolute values: 7 + 5 = 12.

4. **Apply the Negative Sign**: Since both numbers are negative, we keep the negative sign:
- Therefore, -7 + (-5) = -12.

5. **Locate on the Number Line**: To visualize this on a number line:
- Start at 0.
- Move 7 units to the left to reach -7.
- From -7, move an additional 5 units to the left to reach -12.

6. **Conclusion**: The result of (-7) + (-5) is -12.

### Final Answer:
(-7) + (-5) = -12

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