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

Algebra ->  Exponents -> 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       Log On


   



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) About Me  (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

2012%2A9+%2B+%287%2B9%2B8%2B4%29+=+18108%2B28+=+18136