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10^27-1800≡1-u(mod9)

 Aug 31, 2016
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First we figure out what's (10^27 - 1800) mod 9

(10^27 - 1800) mod 9

= 10^27 mod 9 - 1800 mod 9

= 10^27 mod 9

Then we find sequence for 10^n mod 9

10^1 mod 9 = 1

10^2 mod 9 = 1

10^3 mod 9 = 1

10^4 mod 9 = 1

Therefore 10^27 mod 9 = 1

Substitute (10^27 - 1800) mod 9 = 1 into the eq.

1 - u ≡ 1 mod 9

u = 0

 Aug 31, 2016

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