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

You are not logged in. #1 20060404 20:19:27
Is this True?Is this really true? #2 20060404 21:48:40
Re: Is this True?But we're not saying that X = 0.999, we're saying that X = 0.999..., which means that the nines go on forever. Why did the vector cross the road? It wanted to be normal. #3 20060405 01:44:16
Re: Is this True?Does there exist a real number between 0.999.... and 1? If there is, find it. If there isn't, then 0.999... = 1. This is because between any two different real numbers, there must exist another real number between them. "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..." #4 20060405 02:21:02
Re: Is this True?I agree with Ricky. The fact is the number 0.99999999999...... doesn't exist. We may never come across this number in any mathematical problem. I had sometime back said here something similar to what Ricky stated. Character is who you are when no one is looking. #5 20060426 05:20:06
Re: Is this True?I've spent a good 5 hours on this intriguing puzzle, reading the different links and past discussions and the such. I personally am not as adept at mathematics as some of you clearly are, but I would say that from all this my conclusion is that 0.999... isn't = 1 and in the original question the problem lies with when you multiply 0.999... by 10 to get 9.999... The reason being is that you just can't do it to start off with. When you multiply something, you first multiply the very most right value of the number, right?. For example 3 multiplied by 1.45678, you would first multiply 3 by 8 carry the 2 etc. In this case there is no very most right value as it is infinite and hence you cant just multiply it by 10 to get 9.999... #6 20060426 05:54:08
Re: Is this True?I see why you would say that, but I'm not sure I'd aggree(might be wrong though). Multiplying from right to left is also just a method of making it easier, just as 'moving the decimal place' is. You might just aswell say: Basicly what you're doing is the same, but it's easier to do it the other way around. You're welcome to prove me wrong though, I like learning #7 20060426 08:41:32
Re: Is this True?Hi Ausbomba. Yes, it is a great discussion point! "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman 