So there is a problem here:

mathschallenge.net
That asks a person to show that e is irrational. Well, I just thought that since (for example) ...8281.. was in the string of decimals for e it had to be irrational because I was taught in elementary school that irrational numbers are those that don't repeat and go on forever and you can find one by seeing if a number, such as 8, is repeated but, followed by a different number (1 the second time instead of 2). Was I taught wrong as in, did they simplify stuff for me in elementary school? Because the solution they give is a lot more complicated than that.