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Well, isn't that a happy little question! When we round 46 to the nearest hundred, we look at the digit in the tens place, which is 4. Since 4 is less than 5, we keep the hundreds place the same and change the rest to zeros. So, 46 rounded to the nearest hundred is 0.
0 (zero)
The rule in rounding off is that if the first figure to be discarded is a 5 or more, the previous figure is increased by 1.
As the number is being rounded to the nearest hundred then 46 can be regarded as 046. As 4 (the first figure to be discarded) is less than 5, then the previous number (0) remains unchanged. Therefore, 046 becomes 000 or simply 0.
When rounding 46 to the nearest hundred, you look at the digit in the tens place, which is 4. Since 4 is less than 5, you round down. Therefore, 46 rounded to the nearest hundred is 0.