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

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