The number 58963 rounded off to nearest hundred is 58900.

Answer

To determine whether the statement "The number 58963 rounded off to the nearest hundred is 58900" is true or false, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Number**: We are given the number 58963.

2. **Locate the Hundreds Place**: In the number 58963, the digit in the hundreds place is 8 (the third digit from the right).

3. **Identify the Tens Place**: The digit in the tens place is 6 (the second digit from the right).

4. **Apply Rounding Rules**:
- According to rounding rules, if the digit in the tens place (which is 6) is 5 or greater, we round up the hundreds place.
- Since 6 is greater than 5, we will increase the hundreds place (8) by 1.

5. **Calculate the New Value**:
- Increasing 8 by 1 gives us 9.
- The digits to the right of the hundreds place (the tens and units places) will become 0.
- Therefore, rounding 58963 to the nearest hundred gives us 59000.

6. **Conclusion**: The statement "The number 58963 rounded off to the nearest hundred is 58900" is false. The correct rounded value is 59000.

### Final Answer:
The statement is false. The number 58963 rounded off to the nearest hundred is 59000.

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