I wish I was smart enough to take all this higher level maths. It is quite brilliant, I just fail at grasping it.

I'll try to explain the concept for everyone who, like me, has no idea what is going on and you smarter people tell me if I'm correct.

Even though .9... is not a rational number, it is still equal to the number 1, as there is no number between them. Y/N? Also, does this mean that 1 == 1.1..., and therefore .9...==1.1...?