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Well, the simplest way to do this is to break the page numbers down into groups. Numbers 1-9 have 1 digit. Numbers 10-99 have 2. Numbers 100-246 have 3. Thus we have 9 one-digit numbers, 90 two-digit numbers, and 147 three-digit numbers. Therefore: (9)(1) + (90)(2) + (147)(3) = 630 digits.

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Q: If the pages of a certain book are all numbered in order from 1 through 246 how many digits altogether are used?
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