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0.999...=1 and why people believe it is false.

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If 0.999... was equal to 1, if you multiplied it by let's say...5. Then wouldn't you get the same answer?

 

 

 

Example:

 

 

 

0.999x5= 4.995

 

and 1x5= 5

 

 

 

If they were equal, wouldnt they equal the same number when multiplied by the same number :?

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If 0.999... was equal to 1, if you multiplied it by let's say...5. Then wouldn't you get the same answer?

 

 

 

Example:

 

 

 

0.999x5= 4.995

 

and 1x5= 5

 

 

 

If they were equal, wouldnt they equal the same number when multiplied by the same number :?

No, this is where I was having the problem. You're viewing .999... as a finite number. If you plug in .9999, the 5 gets sent back another decimal place. This continues and continues into infinity, so it's always .999.... You'll never reach the 5, thus 5=5 or .999...*5=1*5.
hopesolopatriot.jpg
If 0.999... was equal to 1, if you multiplied it by let's say...5. Then wouldn't you get the same answer?

 

 

 

Example:

 

 

 

0.999x5= 4.995

 

and 1x5= 5

 

 

 

If they were equal, wouldnt they equal the same number when multiplied by the same number :?

 

 

 

0.999 x 5 = 4.995

 

 

 

0.999... x 5 = 4.999...

^^ alright i understand that...

 

 

 

1 more thing, what does the "X" in all of their equations represent? i can seem to understand where they're getting "X"

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^^ alright i understand that...

 

 

 

1 more thing, what does the "X" in all of their equations represent? i can seem to understand where they're getting "X"

Which equation? It's just a set variable to represent a value. In the original post it's .999....
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ITT: Everyone who thinks they are smarter then everyone else.

 

 

 

 

 

 

 

~ Captainkidd

This problem wouldn't exist if we used a base 12 number system. Really we should, it would make things so much easier.

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Why use all these algebraic proofs when basic analysis of the reals tells us that it must be so?

 

 

 

Its better to try and explain using concepts that more people will understand.

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If 0.999... was equal to 1, if you multiplied it by let's say...5. Then wouldn't you get the same answer?

 

 

 

Example:

 

 

 

0.999x5= 4.995

 

and 1x5= 5

 

 

 

If they were equal, wouldnt they equal the same number when multiplied by the same number :?

No, this is where I was having the problem. You're viewing .999... as a finite number. If you plug in .9999, the 5 gets sent back another decimal place. This continues and continues into infinity, so it's always .999.... You'll never reach the 5, thus 5=5 or .999...*5=1*5.
[/hide]

 

 

 

yay we converted laura

 

 

 

^^ alright i understand that...

 

 

 

1 more thing, what does the "X" in all of their equations represent? i can seem to understand where they're getting "X"

 

 

 

to add clarifying, the x is a variable that is representing a given number, in these proofs we give x an initial value for normal equations you are generally looking for x

 

 

 

in the equation 3x+5x=7

 

 

 

3x+5x=7

 

8x=7

 

x=(7/8)

 

 

 

plugging 7/8 into the first equation we prove our answer is accurate because

 

 

 

3(7/8)+5(7/8)=7

 

21/8+35/8=7

 

 

 

sorry if this sounded like an algebra lecture, Im just not sure how much math you have had so I figured I would be thourough.

 

56/8=7

 

7=7

awteno.jpg

Orthodoxy is unconciousness

the only ones who should kill are those who are prepared to be killed.

My brain is going to explode >.

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______________
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A lot of time would have been saved if the first poster had posted this:

 

 

 

http://en.wikipedia.org/wiki/0.999...

 

 

 

Read the first paragraph. ;)

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Thanks to Quarra for the awesome sig!

Xbox360 Gamertag = Tintin113

I would agree now that .999... = 1 because of the fact that there isn't a number inbetween...

 

 

 

But this has really made me want to debate whether you can represent 1/3 in decimal form.

 

 

 

 

 

Same logic and same answer, there is no real number between 0.3... and 1/3 thus they are the same number. Or more precisely the suprenum of of the infinite sequence {0.3,0.33,0.333,...} is 1/3. Equally of course you can just take .999... = 1 and divide both sides by 3 to get the result.

there are no stupid questions

just way too many inquisitive idiots

balance is scary to people who like things easy for them

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any decimal that recurs can be expressed as a fraction - and for 0.999... that fraction is 1.

  • 4 weeks later...

You can have 0.9999 apples if you want. But I prefer to have 1 apple.

You can have 0.9999 apples if you want. But I prefer to have 1 apple.

 

 

 

Yeah, because that is 0.0001 less apple. But 0.999... = 1.

I shall take my flock underneath my own wing, and kick them right the [bleep] out of the tree. If they were meant to fly, they won't break their necks on the concrete.
So, what is 1.111... equal to?

10/9.

 

Please don't continue.

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You can have 0.9999 apples if you want. But I prefer to have 1 apple.

 

 

 

Id prefer about .8 of an apple to avoid the core and other undesirable parts

awteno.jpg

Orthodoxy is unconciousness

the only ones who should kill are those who are prepared to be killed.

Silly math peoples, you forgot how to use common sense. You can have 0.999.... but it will always be short of 1. Just... extremely short of 1.

 

How the hell are you supposed to get 0.999... of something anyways?

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Oh yeah, and I've thought of taking babies and throwing them. For funsies. - Lenticular J

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"Isn't it pathetic how everything in our society is built around someone screwing someone else out of their money?" - killerbeer0 on American Society

Rebdragon can't wiz a woz.

Silly math peoples, you forgot how to use common sense. You can have 0.999.... but it will always be short of 1. Just... extremely short of 1.

 

How the hell are you supposed to get 0.999... of something anyways?

 

You can't which is why it's 1.

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1 is the closest thing to it, but isn't it.

 

 

 

So if i were to try get... .444... of something... since I cant get that... wtf am I getting?

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Oh yeah, and I've thought of taking babies and throwing them. For funsies. - Lenticular J

ShamanSniper.gif

ShamanSniper.png

"Isn't it pathetic how everything in our society is built around someone screwing someone else out of their money?" - killerbeer0 on American Society

Rebdragon can't wiz a woz.

This problem wouldn't exist if we used a base 12 number system. Really we should, it would make things so much easier.

 

We would just be discussing the 0.BBB...=1 problem instead.

 

1 is the closest thing to it, but isn't it.

 

 

 

So if i were to try get... .444... of something... since I cant get that... wtf am I getting?

 

You can get 0.444... of something. 0.444... is 4/9. Similarly, 0.111... is 1/9, 0.222... is 2/9 and so on to 0.999... being 9/9, which is 1. I think you're mixing 0.999... with 0.999...9. 0.999... has no "last 9" and therefore there is nothing that separates it from 1.

 

 

 

0.999...=1 helped me realize that limit is a fixed value and not an infinite process.

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.........am I the only one who doesn't think that it matters very much?

 

Let's just say you wouldn't be sitting behind a computer without the logic behind 0.999... = 1

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.........am I the only one who doesn't think that it matters very much?

 

 

 

no, but then again this is just an interesting observation; its not intended to intrigue you till the end times.

awteno.jpg

Orthodoxy is unconciousness

the only ones who should kill are those who are prepared to be killed.

Now to convince everyone that 1/0 =/= infinity.

 

 

 

But it does, doesn't it? Because you can give 0 people 1 thing an infinite amount of times.

 

 

 

OR we could admit that it just equates to Error.

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Denizen of Darkness| PSN= sworddude198

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