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This identity is usually demonstrated in the opposite direction: n = 100a + 10b + c n = 100a + 10b + c (mod 9) Now substitute ... If you have learnt a bit about mods and haven't done many a ≡ b (mod n) means (1) same remainder upon ÷n ( Chinese Remainder Theorem If the number K is known in (mod m) and (mod n) and m and n are relatively prime, then the value of ... Oops, 679 also equals zero in mod 7 but does not satisfy N=5 (mod 6) condition, so answer is still correct. Thank you for watching. If you found my video helpful or interesting, please to my channel or give a like.
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AMC Modular Arithmetic Example 2
Modular Arithmetic AMC 10,12 by Dr. John Chung
2022 AMC 10A #19: Modular Arithmetic Example! Number Theory #amc10 #aime
AMC 10, 12 Topic 11. Modular Arithmetic
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Last Updated: June 2, 2026
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