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Kai cuts out all the page numbers of a book. He takes each number and cuts the numbers into separate digits (single digit numbers are already separate). Given that the book has 999 pages numbered 1 through 999, what is the sum of all of these digits?

 Jun 3, 2021
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Solution:    1x100+ 2x100+3x100 +4x100 + 5x100+6x100

 

+7x100+8x100+9x100

=4500

 Jun 3, 2021

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