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General - 0.999....=1 - View Post

Faelco said:
JRPGfan said:

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.

 

0.999999 = 1 is wrong.

0.9999999.... = 1 is true. That 0.0000001 part doesn't exist with an infinity of 9.

 

It is basic mathematics, you can learn it in school (okay, it's more often teached as a "fun fact" in college or engineering schools), it's really well-known and established. 

You don't know how to prove that it is bad maths because it's not. You can find flaws in a demonstration of 0.99999.... = 1 but you will always find other ways to prove it, but not the contrary.

Example (I did'n't read the whole subject, sorry if already mentioned) :

1/3 = 0.333333333333...

3*(1/3) = 3*0.3333333333....

3*(1/3) = 1

3*0.3333333333333.... = 0.999999999999...

So 0.9999999999... = 1

Its just rounding it upwards.

there would be a infinite amount of 9s, but there would always also be a part missing.

 

The reason we can say 0.999999.... = 1 is because our minds cant comprehend infinity,

and it serves no practical perpose to not just accept 0.999... as 1.

 

That doesnt mean its true though.

1 is a perfect number, infinite 1.00000...

0.9999... isnt ever perfect, even if the 9s go on forever, and your mind cant comprehend there to be a differnce.

It starts out behinde, so even if it goes forever close to 1, it never is.