Answer :

To round 14,763 to the nearest hundred, follow these steps:

1. Identify the hundreds digit and the digit to its right:
- In the number 14,763, the hundreds digit is 7, and the digit to its right (the tens digit) is 6.

2. Determine if you need to round up or down:
- If the tens digit is 5 or greater, you round up the hundreds digit by one.
- If the tens digit is less than 5, the hundreds digit remains the same, and you change the digits to the right of the hundreds place to zero.

3. Apply the rule:
- Since the tens digit here is 6 (which is greater than 5), we round up the hundreds digit from 7 to 8.

4. Set the digits to the right of the hundreds place to zero:
- The result after rounding up the hundreds place and setting the following digits to zero is 14,800.

Thus, 14,763 rounded to the nearest hundred is 14,800.

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