Modular(Math)

[Wiz]

Hi, I recently came across the term "mod" in some math equations and I searched it up the web. However I do not understand modular's application. I understand that it's like a clock and where 13:00 is basically 1?? Can someone please explain it to me in a basic way and how can it be applied in math? Thanks!

 

[Ishuda]

Hi, I recently came across the term "mod" in some math equations and I searched it up the web. However I do not understand modular's application. I understand that it's like a clock and where 13:00 is basically 1?? Can someone please explain it to me in a basic way and how can it be applied in math? Thanks!

The web page http://betterexplained.com/articles/fun-with-modular-arithmetic/ talks about some of the applications in real life. As far as use in mathematics, it shows up in quite a few places. The Wikipedia article
https://en.wikipedia.org/wiki/Modular_arithmetic#Applications
says in part

Modular arithmetic is referenced in number theory, group theory, ring theory, knot theory, abstract algebra, computer algebra, cryptography, computer science, chemistry and the visual and musical arts.