Hey everyone, today I wanted to explain Modular arithmetic from scratch.
I break down three different ways to interpret the same idea, when to use each one, and then work through some difficult examples at the end. These can be quite useful for some tricky number problems. I also talk a little about Fermat's Little Theorem.
Whether you're prepping for STEP, TMUA, or just getting started with number theory — I wanted this to be a good foundation.
Chapters:
0:00 Introduction
0:30 What is Modular Arithmetic?
3:22 The equation interpretation
5:15 The divisibility interpretation
6:15 Key properties
8:48 Example 1 — 2⁴⁰⁰ mod 7
12:18 Example 2 — Proving n⁵ − n is divisible by 5
17:09 Example 4 — Last two digits of 7²⁰²⁵
#maths #modulararithmetic #step #mat #tmua #numbertheory #universityprep #fermat
