Well, if we look a this NOT mathematically, it would appear that 0 and infinity are 2 (almost menigless) points on the opposite end of a spectrum. If we combine them and they equal 0 it means, that, allthough not a mathematical and quite difficult concept to grasp, 0 is stronger, in other circumstances they ALWAYS make values themselves (0*2=0 etc.) when multiplied and obviously the opposite when divided.
Im NOT a mathematician, its just an outsider view that it looks like to me.