We have to round off the number 38762 to the nearest hundred.
Let us consider the 38762.
According to the place value,
2 is at ones place, 6 is at tens place, 7 is at hundred place, 8 is at thousands place and 3 is at ten thousand place.
Since, we have to round the number to nearest hundred.
So,The number at the hundred place = 7
Now, the number to the extreme right at hundreds place(7) is 6 which is greater than 5. Therefore, we will round the number as 38800.
Therefore, the number 38762 rounded to nearest hundred is 38800.