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if you start with 09, add 9 to it, since 9 is one less than 10, the ones spot actually goes down by one while the tens spot goes up by one. Same is true when you add 9 again. So, 09 becomes 18 which then becomes 27 and so on.

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Q: Why does the divisibility rule work for 9?
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By tautology. If it did not work, it would not be a divisibility rule!


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add all the digits together and see if it is divisible by nine.


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