Why is modulo 9 the Digital root of all numbers?

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heres what i mean:

132189 –> 1 + 3 + 2 + 1 + 8 + 9 = 24 –> 2 + 4 = 6
132189 % 9 = 6

https://en.wikipedia.org/wiki/Digital_root

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Anonymous 0 Comments

Because every time one of the digits in our base-10 numbers grows bigger than 9, it “rolls over” to the next digit. Therefore, the digits in the numbers end up corresponding to a count of how many times we had to “roll over” from 9 (or a multiple of 9).

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