Answer: 8,500
Step-by-step explanation: To round 8,516 to the nearest hundred, first find the digit in the rounding place which in this case is the 5 in the hundreds place.
Next, look at the digit to the right of the rounding place which is 1. The rules of rounding tell us that if the digit to the right of the rounding place is less than 5, we round down and if the digit to the right of the rounding place is greater than or equal to 5, we round up.
So in this case, since 1 is less than 5, we round down.
This means that the digit in the rounding place which is 5 stays the same and we change all digits to the right of the rounding place to zero.
So we have 8,500.
Therefore, 8,516 rounded to the nearest hundred is 8,500.