To solve the question, we need to evaluate the four statements provided and determine which one is correct based on the definitions of predecessor and successor.
### Step-by-Step Solution:
1. **Understanding Terms**:
- **Predecessor**: The number that comes before a given number. For example, the predecessor of 1000 is 999 (1000 - 1).
- **Successor**: The number that comes after a given number. For example, the successor of 1000 is 1001 (1000 + 1).
2. **Evaluating Option A**:
- We need to find the predecessor of the successor of 1000.
- First, calculate the successor of 1000:
- Successor of 1000 = 1000 + 1 = 1001.
- Now, find the predecessor of 1001:
- Predecessor of 1001 = 1001 - 1 = 1000.
- Therefore, Option A states that the predecessor of the successor of 1000 is 1000, which is **true**.
3. **Evaluating Option B**:
- We need to find the predecessor of 1000.
- Predecessor of 1000 = 1000 - 1 = 999.
- Now, find the predecessor of 999:
- Predecessor of 999 = 999 - 1 = 998.
- Option B states that the predecessor of 1000 is 999, which is **true**, but it further claims that the predecessor of 999 is 990, which is **false**. Therefore, Option B is **false**.
4. **Evaluating Option C**:
- First, find the predecessor of 1000:
- Predecessor of 1000 = 999.
- Now, find the successor of 999:
- Successor of 999 = 999 + 1 = 1000.
- Option C states that the successor of the predecessor of 1000 is 1001, which is **false** (it is actually 1000).
5. **Evaluating Option D**:
- First, find the predecessor of 1000:
- Predecessor of 1000 = 999.
- Now, find the successor of 999:
- Successor of 999 = 1000.
- Option D states that the successor of the predecessor of 1000 is 1002, which is **false** (it is actually 1000).
### Conclusion:
After evaluating all options, the only correct statement is **Option A**: The predecessor of the successor of 1000 is 1000.
