Answer: 600
Step-by-step explanation: To round 649 to the nearest hundred, we first find the digit in the rounding place which in this case is the 6 in the hundreds place.
To decide whether to round up or down, we look at the digit to the right of the 6 which is 4.
According to the rules of rounding, if the digit to the right of the rounding place is less than 5, we round down.
So in this problem, since 4 is less than 5, we round down.
This means that the 6 in the hundreds place stays the same and all digits to the right if 6 become 0.
So 649 rounded to the nearest hundred is 600.