more efficient answer what you wrote in this edit blindsided me so completely that it was hard to understand where you were coming from and so to write an efficiently worded reply it's not easy for me to grasp that there could be such a point of view as the one you seem to express but having pondered it for some time since you wrote this i think i can attempt a clear short and direct reply you wrote sorry if this seems stupid but i don't know why this article exists do we also need to prove that is bigger than that is bigger than no the facts are rounded to the nearest ten thousandth is it is trivial to demonstrate that fact rounded to the nearest ten thousandth is that is a triviality not worth an article but the fact that is approximately can be seen only be first doing quite a lot of work some of it relying on methods that are relatively sophisticated by comparison to the bare statement that is the ratio of the circumference of a circle to the diameter or the like by contrast the proof given in the article shows that in a way that is quick and simple unlike all the work needed to see that is approximately so you can see that while skipping all the labor involved in seeing that is about and the method by which it is done in addition to being so short and simple is elegant immediately startling and potentially enlightening in that you immediately wonder if it fits into some larger pattern that would give you insights not otherwise available you almost seem to treat the fact that is approximately as if it were self evident rather than something that can be seen only at considerable expense