900.
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878 to the nearest 100 is 900. When rounding to the nearest 100, you look at the digit in the tens place. If it is 5 or greater, you round up; if it is less than 5, you round down. In this case, the digit in the tens place is 7, which is 5 or greater, so you round up to the nearest 100, which is 900.
Oh, dude, 878 to the nearest 100 is 900. Like, you just gotta look at the last two digits - if it's 50 or more, you round up. If it's less than 50, you round down. So, 878 is closer to 900 than 800. Easy peasy!
Well, honey, 878 rounded to the nearest 100 is 900. It's not rocket science, just basic math. So, there you have it - 878 is closer to 900 than it is to 800.