Wobster109: the numbers 1 through 708, inclusive, are printed on a piece of paper. how many digits are printed on the paper?

Given: Numbers 1 to 708, inclusive

Find:

Total digits printed on the paper = ?

Solution:

1 to 9 = 9 - 1 + 1 = 8 + 1 = 9 * 1 digit = 9
10 to 99 = 99 - 10 + 1 = 89 + 1 = 90 * 2 digits = 180

100 to 708 = 708 - 100 + 1 = 608

608 + 1 = 609 * 3 digits = 1827 

total = 9 + 180 + 1827 = 2016 

Therefore, the total number of digits that are printed on the paper is 2016 digits.

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