For each of the following statements , write (T) for true and (F) for false :
(i) The smallest integer is zero .
(ii) Zero is not an integer .
(iii) The opposite of zero is zero .
(iv) `-10` is greater than `-6`.
(v) The absolute value of an integer is always greater than the integer.
(vi) 0 is larger than every negative integer.
(vii) Every negative integer is less than every natural number.
(viii) The successor of `-187 " is " - 188`.
(ix) The predeccessor of `-215 " is " -214`.

Answer

Let's solve the statements one by one and determine whether they are true (T) or false (F).

### Step-by-Step Solution:

1. **Statement (i): The smallest integer is zero.**
- The smallest integer is not zero; it is negative infinity. Therefore, this statement is **False (F)**.

2. **Statement (ii): Zero is not an integer.**
- Zero is indeed an integer. Therefore, this statement is **False (F)**.

3. **Statement (iii): The opposite of zero is zero.**
- The opposite of zero is zero itself. Therefore, this statement is **True (T)**.

4. **Statement (iv): -10 is greater than -6.**
- In the number line, -10 is to the left of -6, which means -10 is less than -6. Therefore, this statement is **False (F)**.

5. **Statement (v): The absolute value of an integer is always greater than the integer.**
- The absolute value of an integer is either equal to or greater than the integer (for negative integers). Therefore, this statement is **False (F)**.

6. **Statement (vi): 0 is larger than every negative integer.**
- Zero is indeed larger than all negative integers. Therefore, this statement is **True (T)**.

7. **Statement (vii): Every negative integer is less than every natural number.**
- Negative integers are always less than natural numbers (which are positive). Therefore, this statement is **True (T)**.

8. **Statement (viii): The successor of -187 is -188.**
- The successor of a number is the next integer, which means we add 1. The successor of -187 is -186, not -188. Therefore, this statement is **False (F)**.

9. **Statement (ix): The predecessor of -215 is -214.**
- The predecessor of a number is the previous integer, which means we subtract 1. The predecessor of -215 is -216, not -214. Therefore, this statement is **False (F)**.

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