Find the additive inverse of :
(i)5
(ii) -9
(iii)`(3)/(14)`
(iv) `(-11)/(15)`
(v) `(15)/(-4)`
(vi) `(-18)/(-13)`
(vii) 0
(viii) `(1)/(-6)`

Answer

To find the additive inverse of a number, we need to determine what number can be added to it to yield zero. The additive inverse of a number \( x \) is simply \( -x \).

Let's solve the question step by step:

### Step 1: Find the additive inverse of 5
- The additive inverse of \( 5 \) is \( -5 \).

### Step 2: Find the additive inverse of -9
- The additive inverse of \( -9 \) is \( 9 \) (because \( -9 + 9 = 0 \)).

### Step 3: Find the additive inverse of \( \frac{3}{14} \)
- The additive inverse of \( \frac{3}{14} \) is \( -\frac{3}{14} \).

### Step 4: Find the additive inverse of \( -\frac{11}{15} \)
- The additive inverse of \( -\frac{11}{15} \) is \( \frac{11}{15} \).

### Step 5: Find the additive inverse of \( \frac{15}{-4} \)
- The additive inverse of \( \frac{15}{-4} \) is \( -\frac{15}{-4} \), which simplifies to \( \frac{15}{4} \).

### Step 6: Find the additive inverse of \( -\frac{18}{-13} \)
- The additive inverse of \( -\frac{18}{-13} \) is \( \frac{18}{-13} \), which simplifies to \( -\frac{18}{13} \).

### Step 7: Find the additive inverse of 0
- The additive inverse of \( 0 \) is \( 0 \) (since \( 0 + 0 = 0 \)).

### Step 8: Find the additive inverse of \( \frac{1}{-6} \)
- The additive inverse of \( \frac{1}{-6} \) is \( -\frac{1}{-6} \), which simplifies to \( \frac{1}{6} \).

### Summary of Results:
1. Additive inverse of \( 5 \) is \( -5 \)
2. Additive inverse of \( -9 \) is \( 9 \)
3. Additive inverse of \( \frac{3}{14} \) is \( -\frac{3}{14} \)
4. Additive inverse of \( -\frac{11}{15} \) is \( \frac{11}{15} \)
5. Additive inverse of \( \frac{15}{-4} \) is \( \frac{15}{4} \)
6. Additive inverse of \( -\frac{18}{-13} \) is \( -\frac{18}{13} \)
7. Additive inverse of \( 0 \) is \( 0 \)
8. Additive inverse of \( \frac{1}{-6} \) is \( \frac{1}{6} \)