Find the additive inverse of:
(i) 9, (ii) -11, (iii) `-8/13`, (iv) `5/-6`, (v) 0

Answer

To find the additive inverse of a number, we need to understand that the additive inverse of a number \( x \) is the number that, when added to \( x \), results in 0. This means that the additive inverse is simply the negative of the given number. Let's solve the problem step by step.

### Step-by-Step Solution:

**(i) Find the additive inverse of 9:**
- The additive inverse of 9 is obtained by changing its sign.
- Therefore, the additive inverse of 9 is \(-9\).

**(ii) Find the additive inverse of -11:**
- The additive inverse of -11 is obtained by changing its sign.
- Therefore, the additive inverse of -11 is \(11\).

**(iii) Find the additive inverse of -8/13:**
- The additive inverse of \(-\frac{8}{13}\) is obtained by changing its sign.
- Therefore, the additive inverse of \(-\frac{8}{13}\) is \(\frac{8}{13}\).

**(iv) Find the additive inverse of 5/-6:**
- First, simplify \(5/-6\) to \(-\frac{5}{6}\).
- The additive inverse of \(-\frac{5}{6}\) is obtained by changing its sign.
- Therefore, the additive inverse of \(-\frac{5}{6}\) is \(\frac{5}{6}\).

**(v) Find the additive inverse of 0:**
- The additive inverse of 0 is simply 0 itself, as adding 0 to 0 results in 0.
- Therefore, the additive inverse of 0 is \(0\).

### Final Answers:
1. The additive inverse of 9 is \(-9\).
2. The additive inverse of -11 is \(11\).
3. The additive inverse of \(-\frac{8}{13}\) is \(\frac{8}{13}\).
4. The additive inverse of \(-\frac{5}{6}\) is \(\frac{5}{6}\).
5. The additive inverse of 0 is \(0\).