Well, isn't that just a happy little math problem! To round 564 to the nearest hundred, we look at the digit in the tens place, which is 6. Since 6 is 5 or greater, we round up the hundreds place to 600. See how easy that was? Just a little math magic to make your day brighter!
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600.
The two options are:
500 which is 564-500 = 64 away
or
600 which is 600-564 = 36 away.
Now pick which one is nearest.
564 to the nearest hundred would be 600
560
150
To the nearest hundred it is zero.
8 rounded to the nearest hundred is "zero".