/sci/ - Science & Math

I know that a big part of this board is troubled by this simple fact. I do not wish to condone, in fact, I am very empathetic and actually SUPPORT everyone who doubts even the most popular assumptions. Sceptics are the policemen of science.

Therefore, I wish to assure every last sceptic here that 0.999... = 1, so that their energy could be directed at more noble tasks, which they deserve.

---

Let's say you have a bottle on 1L of liquid.
If you pour it into three glasses, equal amount each, you would have 1/3L in each glass. As we know (or can be convinced by simple manual division), 1/3 = 0.333...
So, if we were to pour all liquid back into the bottle, we would have 3*0.333... = 0.999... L in the bottle.

Since we started with 1L, didn't lose any liquid (since this is a mental experiment), and we have arrived to the quantity of 0.999...L, we can safely claim that 0.999... = 1.

Any questions?
Remember anons, there are NO stupid questions!