Properties of Modular Arithmetic

Hello! For today's video, we have the final video in the Intro to Modular Arithmetic series. I've talked a lot about modular arithmetic in terms of notation, positive and negative numbers, and now we have the properties. There are two basic properties of modular arithmetic, one is addition and one is multiplication.

Properties of Modular Arithmetic:
If a≡b(mod m) and c≡ d(mod m), then:
1.) a+c≡b+d(mod m)
2.) ac≡bd(mod m)

Sections in this video:
0:00 Intro to Properties of Modular Arithmetic
3:16 Example #1
5:23 Example #2
8:26 Example #3
11:32 Outro and support my channel

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