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Research
A printer numbers the pages of a book starting with 1 and uses 3088 digits in all. How many pages does the book have ?
(a) 1040 (13) 1048 (c) 1049 (d) 1050
Solve in a similar way as below
e.g. A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have.
A: The pages of the book are numbered starting from 1. A total of 3189 digits are used to number all the pages. For pages 1 - 9, 9*1 = 9 digits are required.
For pages 10 - 99, 90*2 = 180 digits are required
The number of digits left is 3000
As digits from 100 to 999 require 3 digits each, 3*900 = 2700 digits are used. There are 300 digits remaining that are used to number pages 1000 - 1074
The book has 1074 pages in all. ( this example)
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