Proofs of the multiplication rule: https://youtu.be/CzJ-i4z0I78
Video on the division algorithm: https://youtu.be/qEaxFxUK-es
The fundamental definition and properties of congruence modulo n. We talk about how modular arithmetic is related to remainders, as well as the rules for addition and multiplication of congruences!
Modular Arithmetic playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJHPX-OyMNLLCQfKXchdZKpE
0:00 Definitions
5:17 Equivalence Relation
8:50 Operations (mod n)
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Music: OcularNebula - The Lopez