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Forums - General Discussion - Proof that 1 is Equal to .999999999........!

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skeezer said:

Sorry if THis is a really .....random post.

1/3 = .33333333333....

1/3 X 3 = 1

.3333...... X 3 = .9999......

1 = .99999................

 

BTW I hate cold soup

 

Actually you screwed up right there (right in the beginning too lol). 1/3 is not exactly .333333

 

 



wfz said:
skeezer said:

Sorry if THis is a really .....random post.

1/3 = .33333333333....

1/3 X 3 = 1

.3333...... X 3 = .9999......

1 = .99999................

 

BTW I hate cold soup

 

Actually you screwed up right there (right in the beginning too lol). 1/3 is not exactly .333333

 

 

The "......" is supposed to indicate that it continues on forever. I'm looking for a way to disprove this too, but I'm too tired right now...and there probably isn't a way.

He's essentially saying 1 = .99999 with an infinite number of nines.  It can be confusing to think about.

This is more of a philosophical question than a math question...

 



SamuelRSmith said:
1) Well, not really, it's just an error that comes from using the decimal system. No system if perfect, as fractions can often look messy and it's sometimes confusing when working with multiple fractions (Anybody know's how to multiply two decimal numbers, fractions are not as simple).

2) That's what microwaves were invented for.

 

There are no errors in the decimal system. A recurring decimal never ends and can never be written in full and the infintesimal 0.999.. does in fact denote the real number 1.

You must begin to recognize that 0.999.. is a number, not a process. You believe that to find the number you must stop the process which is when the 0.999..9 = 1 proof is untrue. This is wrong.

Your final comment that the process of multiplying fractions is hard proves that you do not possess the knowledge to pose an argument.



1=.999999999999999999999999999999999999999999etc.



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epsilon72 said:
wfz said:
skeezer said:

Sorry if THis is a really .....random post.

1/3 = .33333333333....

1/3 X 3 = 1

.3333...... X 3 = .9999......

1 = .99999................

 

BTW I hate cold soup

 

Actually you screwed up right there (right in the beginning too lol). 1/3 is not exactly .333333

 

 

The "......" is supposed to indicate that it continues on forever. I'm looking for a way to disprove this too, but I'm too tired right now...

He's essentially saying 1 = .99999 with an infinite number of nines.  It does but it doesn't.  It's confusing.

 

You can't disprove it. You can prove 1/3 = 0.33.. by long division:

3/1.000000000000

1/3 = 0 carry the 1

.

10/3 = 3 carry the 1

10/3 =3 carry the 1

10/3 = 3 carry the 1....

 



^See my edited post.



I don't see how this proves math is false... all you have stated in your proof is that you believe 0.999...etc is conceptually equal to one. Your title makes it seem like you proved 0.99 can become 1.0 through with some basic algebra. That's not the case at all.

You want to prove math is broken play around with infinities.
Q. What's infinity times zero?
A. One.

Lol, it's true



eab said:
I don't see how this proves math is false... all you have stated in your proof is that you believe 0.999...etc is conceptually equal to one. Your title makes it seem like you proved 0.99 can become 1.0 through with some basic algebra. That's not the case at all.

You want to prove math is broken play around with infinities.
Q. What's infinity times zero?
A. One.

Lol, it's true

Infinity nothings is still nothing. There's been some serious math butchery going on in this thread.

 



Eab, the problem with the "infinity times zero" question is that infinity isn't even a number. Also most of the time you're looking at that, 0 isn't a number either. They're both behaviors.

@Shameless, 1/3 means "one third of". If you take .999999 = 1, then that's fine, since 1/3 of .999999 is .3333333

However if you don't, then 1/3 isn't exactly equal to .3333. It's more like .33333 1/3

=P

 

EDIT: Shameless, infinity times zero is not zero. Don't criticize people for butchering math and then do it yourself in the same post!