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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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Related questions

Why does divisibility rule for 6 work?

By tautology. If it did not work, it would not be a divisibility rule!


Why does divisibility rule for 9 work?

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


What is the rule for divisibility of 3?

It is 3 6 9


Do multiples of 9 add up to 9?

Yes. It is the divisibility rule for 9.


Divisibility rule for 9?

If the digit sum of a number adds up to 9 then it is divisible by 9.


What is the divisibility rule of 18?

It is even and the sum of its digits is divisible by 9.


What divisibility rule can go into 36?

9 because the digits of 36 add up to 9


What is the divisibility rule for 63?

Its digits add up to 9 so therefore it is divisible by 9


What divisibility rules were combined to make the divisibility rule of 36?

You have to use the rules of 4 and 9 Using the rules of 2 and 18 won't work because the smallest common multiple of 2 and 18 is 18 not 36. 3 and 12 won't work either because the smallest common multiple of 3 and 12 is 12 not 36. However 4 and 9 does work because their biggest common divisor is 1 so multiplying them works. The biggest common divisor of 2 and 18 is 2 and the biggest common divisor of 3 and 12 is 3


What is the Divisibility rule of 1827?

Because the final digital sum is 9 then it is divisible by 9 as follows 1827/9 = 203


How can you check if a number is divisible by 9 when usiing the divisibility rule for 9?

If all the digits add up to 9 then it is divisable by 9


What is a divisibility rule for 5?

If the rules for 2 and 3 work, the number is divisibale by 5.