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Question 474923: round $419,161 to the nearest $10,000
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! Your number is 419,161.
Placing the decimal point there helps to understand how to work the problem.
The $10,000 digit would be 5 positions to the left of the decimal point.
That digit would be the 1 digit.
Since the next digit (the thousands digit) is a 9, round the 1 to a 2 and and then make all digits to the right of it equal to 0.
$419,161.00 would round up to $420,000
If you have a calculator, you could simply divide $419,161.00 by $10,000 to get 41.9161.
You would then round that up to 42 and multiply it by 10,000 to get $420,000.
You could also use Scientific Notation to help you with it.
$419,161 is equal to 41.91671 * 10^4.
That rounds up to 42 * 10^4.
That's the same technique used by dividing by 10,000 and rounding up and then multiplying by 10,000 again.
Understanding how the number positions work helps also.
The rightmost digit is the ones digit (multiply digit by 1).
The next one to the left of that is the tens digit (multiply digit by 10).
The next one to the left of that is the hundreds digit (multiply digit by 100).
The next one to the left of that is the thousands digit (multiply digit by 1,000).
The next one to the left of that is the ten thousands digit (multiply digit by 10,000).
The next one to the left of that is the hundred thousands digit (multiply digit by 100,000).
Your number if $419,161.
That would be:
4 * 100,000
+ 1 * 10,000
+ 9 * 1,000
+ 1 * 100
+ 6 * 10
+ 1 * 1
Note that the 1 after the 4 is the 10,000 digit.
When you round to the nearest 10,000, then you are rounding to that digit.
If the next digit is 5 or greater, then you round up 1 digit.
If the next digit is less than 5, then you leave the digit as is.
When round to the 10,000 digit, then all digits to the right of that become 0.
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