Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20060923 06:54:33
Recurring numbers dont exist...I always think that 1/3, is always an infinatley small number away from 0.333... because as you add more 3's it gets a bit closer but even if you ad an infinate number of 3s, which is what recurring numbers are, then its an infinatley small number away. Isn't saying 1/3 = 0.333... a bit cheating because you should say 0.333... ≈ 1/3? Last edited by junior (20060923 06:55:42) #2 20060923 07:04:44
Re: Recurring numbers dont exist...We actually have quite some posts here on the forum, where we discuss this very matter. An example is http://www.mathsisfun.com/forum/viewtopic.php?id=658. To be honest, this is one of the hardest things for me to explain when I, for example, help friends. By that I mean explain it so they actually get some kind of understanding about recurring decimals, and not just accept it because they don't want to waste their time on the topic. (Hah! as if working with maths could actually be wasting time) #3 20060923 09:07:15
Re: Recurring numbers dont exist...It is because we keep thinking that "recurring" is like "walking" or "running", we think it happens a step at a time. But it is actually fully formed, there is no "last digit", it is infinitely long already. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #4 20060923 11:09:35
Re: Recurring numbers dont exist...Infinity is very hard to conceptualize. That is because infinity doesn't exist in our world. Or at least as far as we know. Everything is always finite. Even time. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #5 20060925 11:00:51
Re: Recurring numbers dont exist...I had a bit of trouble with recurring numbers in 9th grade. It can definitely be confusing. I just learned to write them like this: Maybe the helicopter, maybe it's made of chocolate. #6 20060925 15:40:08#7 20060927 10:46:39
Re: Recurring numbers dont exist...yeah but I just did it with three. Maybe the helicopter, maybe it's made of chocolate. #8 20061010 03:24:27
Re: Recurring numbers dont exist...
Isnt that a theory rather than a fact? Otherwise you are saying that there are limits to the extent of space and time, and noone can know if that is true or not unless they have absolute proof. 