4 videos on further properties of Real numbers apart from the axioms, infact they are deduced from the axioms only. First video is on the uniqueness of the neutral element of addition and multiplication operations.

The second video proves that multiplication of a real number with the number 0 is always 0. In the third video we will prove the uniqueness of inverses with respect to addition as well as multiplication. In the last video we will prove that if a.b=0 then either a=0 or b=0 for any real number a and b. Continue reading →