Pages counting

There are pages numbered from 2 to 104 in the book. How many digits have to be printed to number the pages?

Result

n =  203

Solution:

n=1⋅ (10−2)+2⋅ (100−10)+3⋅ (104−100+1)=203n = 1 \cdot \ (10-2) + 2 \cdot \ (100-10)+3 \cdot \ (104-100+1) = 203

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