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youre reducing the sum modulo 9 right? thats why you took 77 and brought it down to 5?

yes..

This is called, Casting Out Nines by some.

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how do you apply the fact during multiplication ?

hmm,,surely i'd love to research on that,,give me some time,,i'll get back to you..

sire ? @joemath314159

i guess theres not a difference is there?

Conserve the digits don't get thee fingers cut off.
Euler 1781

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