Final answer:
To round 6383 to the nearest hundred, the rounded value is 6400.
Step-by-step explanation:
To round 6383 to the nearest hundred, we need to look at the tens digit (8) and the ones digit (3) in the hundreds place. If the ones digit is greater than or equal to 5, we round the tens digit up by 1 and set the ones digit to zero. If the ones digit is less than 5, we leave the tens digit as it is and set the ones digit to zero. In this case, the ones digit is 3, which is less than 5, so we leave the tens digit as 8 and set the ones digit to zero. Therefore, the rounded value of 6383 to the nearest hundred is 6400 (option a).