0.9999999999.... = 1 ????? (1 Viewer)

iBibah

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I personally think it does equal to one.

What do you think?
 

Sy123

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Of course it equals one

0.9999... is the same thing as:

(I am pretty sure)
 
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Sy123

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In the bracket we arrive at an infinite converging geometric series.

 

HeyJes

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Yes this is correct and can be mathematically proven
 

GoldyOrNugget

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you guys are so arrogant. stop pushing your believes onto other people. everyones opinion is equally valid. calculus is only aproximations anyway, iBibah you should make up you're own mind. personally i believe it depends on you're frame of reference which is what einstein said when he debunked newtons theories
 

theind1996

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you guys are so arrogant. stop pushing your believes onto other people. everyones opinion is equally valid. calculus is only aproximations anyway, iBibah you should make up you're own mind. personally i believe it depends on you're frame of reference which is what einstein said when he debunked newtons theories
English Extension 2...
 

Riproot

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arrogant

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x = .99999...
10x = 9.99999...
10x-x = 9
9x = 9
therefore
x = .9999999...
 

iBibah

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you guys are so arrogant. stop pushing your believes onto other people. everyones opinion is equally valid. calculus is only aproximations anyway, iBibah you should make up you're own mind. personally i believe it depends on you're frame of reference which is what einstein said when he debunked newtons theories
I did make up my mind, but was interested in others' opinions/reasoning, I am in no way pushing my beliefs on anyone. It's nothing more than a discussion.

Relax.
 

Carrotsticks

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you guys are so arrogant. stop pushing your believes onto other people. everyones opinion is equally valid. calculus is only aproximations anyway, iBibah you should make up you're own mind. personally i believe it depends on you're frame of reference which is what einstein said when he debunked newtons theories
I'm not sure if this is a serious post, or not. For this topic, there are no 'beliefs'. It is either correct or incorrect.

In this case, the claim that 0.999... = 1 is correct and many proofs can be provided.
 

Sanical

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you guys are so arrogant. stop pushing your believes onto other people. everyones opinion is equally valid. calculus is only aproximations anyway, iBibah you should make up you're own mind. personally i believe it depends on you're frame of reference which is what einstein said when he debunked newtons theories
youre lucky rep doesnt exist
 

Trebla

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you guys are so arrogant. stop pushing your believes onto other people. everyones opinion is equally valid. calculus is only aproximations anyway, iBibah you should make up you're own mind. personally i believe it depends on you're frame of reference which is what einstein said when he debunked newtons theories
lol wtf

Most people who reject this fact generally do not grasp the concept of a limit or infinity.

Most people can accept that 0.3333... = 1/3 with an INFINITE number of decimal places.

But 0.3333333... =/= 1/3 with a FINITE number of decimal places.

Likewise 0.99999... = 1 only if the number of decimal places is infinite. If the number of decimal places is finite then the equality is not true. Many people who don't accept this fact often picture the decimal with only a finite number of decimal places.

http://en.wikipedia.org/wiki/0.999
 

Dash8

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Hmmm I don't get it.... So does this mean that 0.99999... Is exactly the same as 1? I can see how it approaches 1 as it nears infinity, but it never really reaches 1. The different just gets smaller. If 0.9999... equals 1, does that mean that an asymptote to the x or y axis will touch it at infinity?
 

AAEldar

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Hmmm I don't get it.... So does this mean that 0.99999... Is exactly the same as 1? I can see how it approaches 1 as it nears infinity, but it never really reaches 1. The different just gets smaller. If 0.9999... equals 1, does that mean that an asymptote to the x or y axis will touch it at infinity?
You're thinking about it wrong.

The difference doesn't 'get smaller' - there just is no difference. 0.999.. and 1 are the same numbers, just different representations of them.
 

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