SOLUTION: When the expression 10^2016 - 2016 is evaluted, the result is a very very large number. To save time and paper, instead of evaluating the expression 10^2016 - 2016 , determine the

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Question 1127789: When the expression 10^2016 - 2016 is evaluted, the result is a very very large number. To save time and paper, instead of evaluating the expression 10^2016 - 2016 , determine the sum of the digits in difference
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The number 10^2016 is 1 followed by 2016 zeros; a 2017-digit number.

When you subtract 2016 from that number, you get a 2016-digit number. In that number, the last four digits are 7984; the first 2012 digits are all 9's.

The sum of the digits is


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