digits are used to print the page numbers of a book.
How many pages does the book have?
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We can list them strategically:
Page 1 - 9 ---> 9 digits
Page 10 - 99 ---> 99 - 10 + 1 = 90 pages
Page 100 - 999 ---> 999 - 100 + 1 = 900 pages
9 + 180 + 2700 = 2889 digits so far,
3401 - 2889 = 512 digits for 4 - digit page numbers
4 5 1 2 = 128
Total number of pages ---> 999 + 128 = 1127 pages