0.999....=1

[Teeqoz]

JRPGfan said:

Teeqoz said:

No, saying that there is an infinite sequence of 9s doesn't require and end. It goes on forever. However to say that there is an infinite sequence of 0s, followed by a 1 doesn't work. There can't be a 1 after the infinite amount of 0s, because that would by definition mean it was a finite amount of 0s.

That said, I can understand why you have a hard time figuring it out. It can be hard to wrap your head around it.

^ read my above in bold text.

Im not saying  0 can be equal to 0.0000000001.

 

What Im saying is 0.9999999 = 1

is wrong.

Why?

Because you would always be missing that 0.000000001 part.

You can tell their not the same number on each side, by the fact that we re writeing them differntly.

 

In concept.... because we live in a physical world, where theres a limit to things, it could make practical sense.

However in math terms I think its wrong.

I only used math terms in my proof. If I can use math terms to prove it, how can it be wrong in math terms?

I can get that you don't understand it, but that you deny it.

Also we write numbers in different ways all the time

1 is the same as 1.0, which is the same as 1.00, which is the same as 1.000.... (with an infinite amount of zeroes). It is also the same as 1/1, 2/2, 3/3, 10^0, etc. You can write numbers in more than one way.