Find the additive inverse of :
a. -756
b. 449

Answer

To find the additive inverse of a number, we need to determine the number that, when added to the original number, results in zero.

### Step-by-Step Solution:

**a. Find the additive inverse of -756:**

1. **Identify the number:** The number given is -756.
2. **Determine the additive inverse:** The additive inverse of a negative number is its positive counterpart. Therefore, the additive inverse of -756 is +756.
3. **Verification:**
- When we add -756 and +756, we get:
\[ -756 + 756 = 0 \]
- This confirms that +756 is indeed the additive inverse of -756.

**b. Find the additive inverse of 449:**

1. **Identify the number:** The number given is 449.
2. **Determine the additive inverse:** The additive inverse of a positive number is its negative counterpart. Therefore, the additive inverse of 449 is -449.
3. **Verification:**
- When we add 449 and -449, we get:
\[ 449 + (-449) = 0 \]
- This confirms that -449 is indeed the additive inverse of 449.

### Final Answers:
- a. The additive inverse of -756 is **+756**.
- b. The additive inverse of 449 is **-449**.