BASIC MATH PROOFS

The math proofs that will be covered in this website fall under the category of basic or introductory proofs. They are considered “basic” because students should be able to understand what the proof is trying to convey, and be able to follow the simple algebraic manipulations or steps involved in the proof itself. The pre-requisite subject of these lessons is Algebra 1.

• If a | b and b | c, then a|c.
• If a < b, then a < (a+b)/2 < b.
• If n^2 is even, then n is even.
• If n^2 is odd, then n is odd.
• Mathematical Induction
• Mathematical Induction for Divisibility
• Proof by Contradiction
• The Square Root of a Prime Number is Irrational.
• Proof: √(2) is irrational.
• Sum of Two Even Numbers is Even
• Sum of Two Odd Numbers is Even
• There are infinitely many prime numbers.