you probably do know what you're talking about, but thread starter doesn't, and my post was response to his stantements...i'm not saying that you're wrong,just that i don't view it so. anyway this seems more like a logical and even philosophical question than purely mathematical: 0.3 repeating and all repeating numbers are fiction anyway, they are what we define them

sorry, but 1/9 simply does not equal .1r. There's no way to write 1/9 in decimals.

There's no way to write 1/9 in decimals because 0.1 repeating is a infinitely repeating number and your life time is finite, just because There is no way for you to reach a planet 1 billion light years away doesn't mean that planet doesn't exist.

it exists, it's infinite and can't be written, so it's different than 1...at least the way i see it. but again, it's only the matter how we define repeating numbers, they don't exist in life anyways, but i personally was always seeing it as just an aproxximation and not the true value.

There's no way to write 1/9 in decimals because 0.1 repeating is a infinitely repeating number and your life time is finite, just because There is no way for you to reach a planet 1 billion light years away doesn't mean that planet doesn't exist.

even if it was possible to write an infinite amount of 1s, this number still would be smaller than 1/9.

even if it was possible to write an infinite amount of 1s, this number still would be smaller than 1/9.

i personally do agree with you, but he/she is right that is only the matter how we define infinite numbers, because they only exist anyways because and as we defined them. we just disagree about the definition, but it's more of mathematical philosophy than pure mathematics anyways

this guy really seems like a bot...i'm repeating myself, but your first premise is false and you can't argue it. 1/3 isn't equal 0.3 repeating, 0.3 repeating is just closest simplification made up so 1/3 could be written at all. you can't write 1/3's decimal value as you think you can, because 0.3 repeating x 3 is not 1, it's just 0.9 repeating and never 1...as for your idiotic point that there must be something between 0.9 repeating and 1, answer is that it doesn't, because there is infinite amount of numbers just between every RATIONAL number, and this one is irrational...we can never know what is between one rational and one irrational number simply because we can't write irrational number as x/y (with x and y integers, that's why it's called so in the first place, we can never know it's true value)...and 0.3 repeating is irrational...and the fact we can't know what is between these two numbers DOESN'T AND CAN'T MAKE THEM EQUAL...for further explanation go find your maths teacher and not spam the forum with this BULL****. you probably think you're very smart and stuff, or that you made a breakthrough discovery, but believe me, you're either very,very stupid or just intentionally making up this stuff just for fun...if it's first, take some math classes, if it's second just go out and get a life

Okay man...

There is no such number between them, yet they aren't equal right?

1/9 isn't exactly 0.1 repeating because 0.1 x 9 is 0.9 repeating and not exactly 1...there "may" be the way to prove it with advanced calculations and limits (i probably wouldn't understand it though) but that's surely not what thread starter meant, he's just repeating same stupid "proofs" over and over again

I DO know how to prove it with geometric series and limits as well...

But the thing is, like you said...YOU WOULDN'T UNDERSTAND....And for the people who have taken Calculus...THEY ALREADY KNOW!

So I had to prove it with basic math...Which you still couldn't disprove...By saying things like, "There isn't a number between but it still isn't equal"
Or not being able to answer 1-0.9r with a real answer....

So who is the idiot now? I had to go on your math base level, I could've gone more advanced, but the people who can understand that already know 0.9 repeeating is 1

I would feel REALLY stupid right now if I were you

As someone who systematically studied math and especially the concept of LIMIT at an advanced level, I can tell everyone that "0.9 repeating= 1", not approximately, but absolutely. I was even shown a few ways to prove that when I was attending a Olympic Math class 7 years ago.

I am not gonna spend time on rigorously proving it here, I will just say that 0.9 repeating is simply another way to say 1, see the following demostration and you will know why:

8/9? 0.8 repeating 9/9? 0.9 repeating logically and it's equal to 1

Anyway, it is actually not about math itself but about definitions. 0.9 repeating equals 1 is for the same reason 0.3 repeating equals 1/3. There is no argument for that, it's already defined that way.

Thank You Lei

For coming in...

Putting these idiots like Sharan in their place

Well maybe thats all I had to say...That I am really smart, and I know how to use limits and do geometric series (I really do)...I couldn't show that as a proof cuz they wouldn't understand, so I had to use basic math for dumasses like Sharan...And well, he couldn't say anything to disprove it, but still didn't believe it

it exists, it's infinite and can't be written, so it's different than 1...at least the way i see it. but again, it's only the matter how we define repeating numbers, they don't exist in life anyways, but i personally was always seeing it as just an aproxximation and not the true value.

Hey Sharas

Maybe your just not in the mathmatical level with me and Lei

GO spend at least 5 more years and then you'll understand...Its ok to be stupid...You'll understand that I am RIGHT , and you are WRONG

you didn't mentioned any of that for full thirteen pages, until lei did...i'm not a matematician, but i'm pretty damn sure you aren't too. most matematicians have better job to do than to "educate" people on BASKETBALL BOARD about infinite decimal numbers. i'm still sure you don't have clue what you are talking about. and you still haven't convinced me that one (you have said that 0.9 repeating is irrational) irrational number can be equal to one that is rational

Didn't you listen? What would be the point of talking about someting complex to you or anybody...

1. Like you said...You wouldn't understand
2. For the ones who DO understand, they already know that 0.9r = 1

So what would be the point?

Quote:

you have said that 0.9 repeating is irrational) irrational number can be equal to one that is rational

yeah...whats your point?

Like I said...It is common sense that if you can't name a number between 2 numbers, then they must be equal...Can you name a number between 8 and 9? Yes...How about 0.9r and 1? NO...If there is nothing between them, then how are they not the same?

Like I said...Maybe you'll understand after 5 years more of math