SOLUTION: It takes 414 digits to number the pages of a book with integers.If the page numbering starts with 1 and continues sequentially,what is the final page number?

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Question 203048: It takes 414 digits to number the pages of a book with integers.If the page numbering starts with 1 and continues sequentially,what is the final page number?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
1 --> 9 ___ 9 digits

10 --> 99 ___ 180 digits

so, 189 digits for all the one and two digit numbers

the rest (414 - 189) are for three digit numbers ___ 225 / 3 = 75

so the final page number is 99 + 75 or 174