When rounding a number to the nearest hundred, you look at the digit in the tens place. In this case, the tens place digit in 2050 is 0. Since 0 is less than 5, you would round down to the nearest hundred. Therefore, 2050 rounded to the nearest hundred is 2000.
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Well, let's take a moment to appreciate the number 2050. When we round it to the nearest hundred, it becomes 2100. Isn't that just a happy little number? Remember, in the world of numbers, there are no mistakes, just happy accidents.
Oh, dude, you're really testing my math skills here. So, if we're rounding 2050 to the nearest 100, we just gotta look at the last two digits, right? And since 50 is right in the middle, we round up to the next hundred, making it 2100. Easy peasy, lemon squeezy.
It is 2000.
Most schools wrongly teach you to always round 5 (in this case, 50) up so the answer would be 2100 but, while this is a simple rule to teach, it is not really correct. Under this rule:
• if the following digit is 0 you don't round;
• if the following digit is 1, 2, 3 or 4 you round down; and
• if the following digit is 5, 6, 7, 8 or 9 you round up.
As a result you are more likely to round up than round down and that introduces an upward bias into your calculations.
The IEEE (Institute of Electronic and Electrical Engineers) standard 754 is to round 5 up or down so that the new last digit is even. See link for more: //en.wikipedia.org/wiki/Rounding#Round_half_to_even
3000