Write (T) for true and (F) for false for each of the following statements :
`(i) 0 div (-6) = 0 `
(ii) (`-8) div 0 = 0`
(iii)` 15 div (-1) = - 15`
(iv)` (-16) div (-4) = - 4 `
(v) (`-7) div (-1) = 7 `
(vi) `(-18) div 9 = - 2 `
(vii) `20 div (-5) = - 4`
(viii) `(-10) div 1 = - 10`
(ix) `(-1) div (-1) = - 1`

Answer

Let's evaluate each statement step by step:

### Step 1: Evaluate the statements

1. **Statement (i)**: \( 0 \div (-6) = 0 \)
- **Evaluation**: When 0 is divided by any non-zero number, the result is always 0.
- **Conclusion**: True (T)

2. **Statement (ii)**: \( (-8) \div 0 = 0 \)
- **Evaluation**: Division by zero is undefined. Therefore, this statement is incorrect.
- **Conclusion**: False (F)

3. **Statement (iii)**: \( 15 \div (-1) = -15 \)
- **Evaluation**: Dividing a positive number by a negative number results in a negative number. Thus, \( 15 \div (-1) = -15 \).
- **Conclusion**: True (T)

4. **Statement (iv)**: \( (-16) \div (-4) = -4 \)
- **Evaluation**: Dividing two negative numbers results in a positive number. Therefore, \( (-16) \div (-4) = 4 \), not -4.
- **Conclusion**: False (F)

5. **Statement (v)**: \( (-7) \div (-1) = 7 \)
- **Evaluation**: Dividing a negative number by a negative number results in a positive number. Thus, \( (-7) \div (-1) = 7 \).
- **Conclusion**: True (T)

6. **Statement (vi)**: \( (-18) \div 9 = -2 \)
- **Evaluation**: Dividing a negative number by a positive number results in a negative number. Thus, \( (-18) \div 9 = -2 \).
- **Conclusion**: True (T)

7. **Statement (vii)**: \( 20 \div (-5) = -4 \)
- **Evaluation**: Dividing a positive number by a negative number results in a negative number. Thus, \( 20 \div (-5) = -4 \).
- **Conclusion**: True (T)

8. **Statement (viii)**: \( (-10) \div 1 = -10 \)
- **Evaluation**: Dividing any number by 1 results in the same number. Thus, \( (-10) \div 1 = -10 \).
- **Conclusion**: True (T)

9. **Statement (ix)**: \( (-1) \div (-1) = -1 \)
- **Evaluation**: Dividing a negative number by a negative number results in a positive number. Thus, \( (-1) \div (-1) = 1 \), not -1.
- **Conclusion**: False (F)

### Final Answers:
- (i) T
- (ii) F
- (iii) T
- (iv) F
- (v) T
- (vi) T
- (vii) T
- (viii) T
- (ix) F

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