Write (T) for true and (F) for false for each of the following statements:
i 0 /(-4) = 0
ii (-6)/0=0
iii (-5) /(-1) =-5
iv (-8) /1 =-8
v (-1)/(-1) =-1
vi (-9)/(-1) = 9

Answer

Let's analyze each statement one by one to determine whether they are true (T) or false (F).

### Step-by-Step Solution

**i.** \( \frac{0}{-4} = 0 \)

- When we divide 0 by any non-zero number, the result is always 0.
- Therefore, \( \frac{0}{-4} = 0 \) is **True (T)**.

**ii.** \( \frac{-6}{0} = 0 \)

- Division by zero is undefined in mathematics.
- Therefore, \( \frac{-6}{0} \) cannot equal 0, making this statement **False (F)**.

**iii.** \( \frac{-5}{-1} = -5 \)

- When we divide two negative numbers, the result is positive.
- Thus, \( \frac{-5}{-1} = 5 \), not -5. Therefore, this statement is **False (F)**.

**iv.** \( \frac{-8}{1} = -8 \)

- Dividing a negative number by a positive number results in a negative number.
- Hence, \( \frac{-8}{1} = -8 \) is **True (T)**.

**v.** \( \frac{-1}{-1} = -1 \)

- Dividing two negative numbers results in a positive number.
- Therefore, \( \frac{-1}{-1} = 1 \), not -1. This statement is **False (F)**.

**vi.** \( \frac{-9}{-1} = 9 \)

- Again, dividing two negative numbers results in a positive number.
- Thus, \( \frac{-9}{-1} = 9 \) is **True (T)**.

### Summary of Answers
- i: T
- ii: F
- iii: F
- iv: T
- v: F
- vi: T