Find the number of digits printed on a book having 392 pages such that the digits are only used to indicate the page number of the book.
Question
Find the number of digits printed on a book having 392 pages such that the digits are only used to indicate the page number of the book.
Solution
Sure, here is the step by step solution:
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First, we need to find out how many digits are used for each set of pages.
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For pages 1 to 9, we have 9 pages and each page number has 1 digit. So, we have 9*1 = 9 digits.
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For pages 10 to 99, we have 90 pages and each page number has 2 digits. So, we have 90*2 = 180 digits.
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For pages 100 to 392, we have 293 pages and each page number has 3 digits. So, we have 293*3 = 879 digits.
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Now, we add up all the digits: 9 + 180 + 879 = 1068 digits.
So, the book with 392 pages uses 1068 digits to indicate the page numbers.
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