0.9999....(recurring) = 1?

Ricky · 2007-01-16 04:14:16

A, B, or (exclusively) C needs to increase by .1. Why do you ask? What does this have to do with anything?

Anthony.R.Brown · 2007-01-17 01:08:24

To Ricky etc...

Ok so Now we Both agree on something!

A = 0.3
B = 0.3
C = 0.3

A + B + C = 0.9 "Needs 0.1 to Equal 1"

---------------------------------------------------------------------------------------------------------------

Here is a Fraction Calculation

A = One 3rd
B = One 3rd
C = One 3rd

A + B + C = 1 "This I am sure you agree! is true! and needs no other numbers to = 1"

Ok according to your Quote below!

"Sorry to burst your bubble ARB, but decimal calculations are defined in a very strict sense so that they behave exactly (no if's, and's or but's) as your "normal calculation"."

Can you give me Three Decimal Values! so that the Variables A , B & C Below also need no other numbers to = 1

A = (Decimal Value)

B = (Decimal Value)

Using the Three Decimal Values A,B & C above you have put forward! must equal 1

A + B + C = ?

luca-deltodesco · 2007-01-18 19:31:51

yes, you can:

Anthony.R.Brown · 2007-01-18 23:49:32

To luca-deltodesco

A = 0.3

B = 0.3

C = 0.3

A + B + C = 0.9

----------------------------------------------------------------------------------------------------------------

I was waiting for the Answer! Ricky etc.. A = 0.3 B = 0.3 and C = 0.4

"That's a Shame! because then I was going to Hit yer with the Answer Below!!"

ALL THREE DECIMAL VARIABLES A,B & C MUST HAVE THE SAME DECIMAL VALUES!

A = (Decimal Value)

B = (Decimal Value)

Using the Three Decimal Values A,B & C above must equal 1

A + B + C = ?

luca-deltodesco · 2007-01-19 04:21:08

anthony,

and are both the same number, neither of which are 0.3, i dont know where you are getting your ideas from

Devantè · 2007-01-19 08:52:32

0.3 and 0.333...(recurring) are both totally different. Using the former, you will never get any closer one. However, using the latter, you will always, infinitely, be approaching 1.

Ricky · 2007-01-19 10:30:50

Clearly, ARB has at least some familiarity with algebra. To me, this means that he must at least know that 0.3 is not the same as 0.33 is not the same as 0.333... But by his words in his last post, he in fact thinks 0.3 is the same as 0.333... Thus, contradiction, and therefore ARB does not exist.

QED.

Anthony.R.Brown · 2007-01-20 00:43:11

To Ricky"

You can do better than that! or can you?

Quote:

"But by his words in his last post, he in fact thinks 0.3 is the same as 0.333... Thus, contradiction, and therefore ARB does not exist."

A.R.B

Show me!

Anthony.R.Brown · 2007-01-21 01:26:33

For Everyone!......................................................................................................................

ALL THREE DECIMAL VARIABLES A,B & C MUST HAVE THE SAME DECIMAL VALUES!

A = (Decimal Value)

B = (Decimal Value)

Using the Three Decimal Values A,B & C above must equal 1

A + B + C = ?

Patrick · 2007-01-21 01:55:55

Since all three variables must have the same value:

and you question is: if A+B+C equals 1, what is A, B and C? The following is true:

So let's solve for A:

And since A=B=C, they're all 0.333... or written as a fraction 1/3.

Now; where is your problem?

Anthony.R.Brown · 2007-01-21 01:58:27

N1 = 0.9 This is a Single Number Value

N2 = Infinite 0.9 This is an Infinite Number!

N3 = 1 This is a Single Number Value

N4 = The Maximum possible Number of .9's

N1..............( N0 Numbers! )..........N3.

N2..............( N4...Can have + .9's i.e More .9's )........N3.

Anthony.R.Brown · 2007-01-21 02:00:17

Patric!

This Post has Nothing to do with Fractions!

Devantè · 2007-01-21 02:38:00

a + b + c = 1. No questions asked.

Toast · 2007-01-21 02:40:01

Can we PLEASE close this thread now?

luca-deltodesco · 2007-01-21 03:11:24

Toast wrote:

Can we PLEASE close this thread now?

... and any thread, or post that anthony has and ever will make?

Patrick · 2007-01-21 06:09:52

I guess you're trying to create a numberline, but the N4-thing I don't get. There's no such thing as a maximum amount of decimals. That's like saying there's a "biggest number".

edit: Do'h, it's not like saying there's a "biggest number", it's exactly that. We all know there's no such thing.

Last edited by Patrick (2007-01-21 06:10:51)

Anthony.R.Brown · 2007-01-21 23:42:15

To Patric

Quote:

"And since A=B=C, they're all 0.333... or written as a fraction 1/3."

A.R.B

You are trying to mix Fractions! with Decimals Again!!

Dross · 2007-01-21 23:50:25

Anthony.R.Brown wrote:

To Patric
Quote:
"And since A=B=C, they're all 0.333... or written as a fraction 1/3."
A.R.B
You are trying to mix Fractions! with Decimals Again!!

You are allowed to do that! 0.333... and 1/3 are two different representations of the same number! And there are further representations of them that "look" different (i.e. it's a different picture/symbol), for example in different bases - 0.333... or 1/3 looks like 0.1 in base 3 arithmetic!

So here, in base 3, the decimal expansion of 1/3(base 10 representation of "3") has a finite number of digits. What do you make of this?

Is that all this argument has been? Anthony, do you think that 1/3 and 0.333... are actually different numbers? What about 1/2 and 0.5, are they different? Or 1/4 and 0.25?

Anthony.R.Brown · 2007-01-22 00:12:22

To Dross

Quote:"You are allowed to do that! 0.333... and 1/3 are two different representations of the same number! "

A.R.B:
It's not two different representations of the same number! or Numbers! We! are After! It,s Accuracy!

Unless you can Answer the Below! you have no case!

A = 0.3
B = 0.3
C = 0.3

A + B + C = 0.9

A = (Decimal Value)
B = (Decimal Value)
B = (Decimal Value)

Using the Three Decimal Values A + B + C above must equal 1

The Three Decimal Values must have the Same Values!

Dross · 2007-01-22 00:22:36

Anthony.R.Brown wrote:

To Dross
Quote:"You are allowed to do that! 0.333... and 1/3 are two different representations of the same number! "
A.R.B:
It's not two different representations of the same number! or Numbers! We! are After! It,s Accuracy!
Unless you can Answer the Below! you have no case!
A = 0.3
B = 0.3
C = 0.3
A + B + C = 0.9
A = (Decimal Value)
B = (Decimal Value)
B = (Decimal Value)
Using the Three Decimal Values A + B + C above must equal 1
The Three Decimal Values must have the Same Values!

Anthony, you're making even less sense than usual! 0.333... is 100% accurate as a decimal representation of 1/3.

So we can use it above - A = B = C = 0.333... - now, because of this, and the afforementioned accuracy of 0.333..., we see that A = B = C = 1/3.

And to your other post in the other thread - it makes no sense! You keep trying to say that 0.9 is between 0.999... and 1, when it clearly isn't!

And you call 0.9999... an "infinite number" - it may have an infinitely long decimal expansion, but it is certainly finite in itself.

I seriously think you are getting confused between a number and a representation of a number. For example, pi has an infinite decimal expansion. I could start writing it out if I wanted to get accross what I mean, or I could simply write:

One is an "infinitely long" representation of pi, the other is a succinct, explicit way of representing the same number.
So, I ask you, is 3.14... an "infinite number" (as you would say) even though it can be represented by a single charachter?

Last edited by Dross (2007-01-22 00:22:57)

Anthony.R.Brown · 2007-01-22 00:31:41

To Dross

Here is a Fraction Calculation!

A = One 3rd
B = One 3rd
C = One 3rd

A + B + C = 1

Here is a Decimal Calculation!

A = (Decimal Value)
B = (Decimal Value)
B = (Decimal Value)

A + B + C = ?

The Three Decimal Values must have the Same Values! And = 1

This Answers All your Questions for Ever more! on the Difference's Between Fractions! and Decimals!

Just think! Answer this one Question! and you will End my Views for Ever!!

Dross · 2007-01-22 00:45:21

Anthony.R.Brown wrote:

Just think! Answer this one Question! and you will End my Views for Ever!!

Answer to your question: 0.3333...

And yes, this is 100% accurate and precisely equal to one third.

Now I have extended you a courtesey, so please would you answer my questions instead of avoiding them! You are not doing yourself any favours by being rude and ignoring those who ask you things!

Anthony.R.Brown · 2007-01-22 00:49:29

To Dross

Quote:"Answer to your question: 0.3333...

ARB

This is the Result of a Fraction Calculation! and not a Decimal Calculation! or a Decimal Expantion! from the Root!!

Dross · 2007-01-22 00:57:09

Anthony.R.Brown wrote:

To Dross
Quote:"Answer to your question: 0.3333...
ARB
This is the Result of a Fraction Calculation! and not a Decimal Calculation! or a Decimal Expantion! from the Root!!

Whatever do you mean?

First thing: answer me a simple question: was my answer correct? If not, then what does 0.3333... + 0.3333... + 0.3333... actually add up to, if not 1? Are you saying that 1/3 <> 0.3333...?

Second thing: we on this site are being FAR nicer to you than we really should be by continuing to post here, continuing to answer your questions even though you on the whole do not answer ours. Our replies to you are coherent and rigorous, yet your posts are sketchy and vague, often being incomprehensible. PLEASE JUST ANSWER THE QUESTIONS ANSWER THE QUESTIONS THAT HAVE ALREADY BEEN POSTED TIME AND TIME AGAIN JUST ANSWER THE QUESTIONS JUST ANSWER THE QUESTIONS JUST ANSWER THE QUESTIONS JUST ANSWER THE QUESTIONS JUST ANSWER THE QUESTIONS JUST ANSWER THE QUESTIONS JUST ANSWER THE QUESTIONS JUST ANSWER THE QUESTIONS JUST ANSWER THE QUESTIONS JUST ANSWER THE QUESTIONS JUST ANSWER THE QUESTIONS etc. etc.

Anthony.R.Brown · 2007-01-22 00:59:30

To Dross

Quote:"I seriously think you are getting confused between a number and a representation of a number. For example, pi has an infinite decimal expansion. I could start writing it out if I wanted to get accross what I mean, or I could simply write: Pi
One is an "infinitely long" representation of pi, the other is a succinct, explicit way of representing the same number.
So, I ask you, is 3.14... an "infinite number" (as you would say) even though it can be represented by a single charachter?

ARB

3.14...is an "infinite number" (as you would say) and it can be represented by a single charachter?
Give me one for a Single decimal Value that = One 3rd and I will use it!

None of this changes the fact that there are no Single decimal Values that = One 3rd

Which is where the Accuracy is Lost!

Math Is Fun Forum

#251 2007-01-16 04:14:16

Re: 0.9999....(recurring) = 1?

#252 2007-01-17 01:08:24

Re: 0.9999....(recurring) = 1?

#253 2007-01-18 19:31:51

Re: 0.9999....(recurring) = 1?

#254 2007-01-18 23:49:32

Re: 0.9999....(recurring) = 1?

#255 2007-01-19 04:21:08

Re: 0.9999....(recurring) = 1?

#256 2007-01-19 08:52:32

Re: 0.9999....(recurring) = 1?

#257 2007-01-19 10:30:50

Re: 0.9999....(recurring) = 1?

#258 2007-01-20 00:43:11

Re: 0.9999....(recurring) = 1?

#259 2007-01-21 01:26:33

Re: 0.9999....(recurring) = 1?

#260 2007-01-21 01:55:55

Re: 0.9999....(recurring) = 1?

#261 2007-01-21 01:58:27

Re: 0.9999....(recurring) = 1?

#262 2007-01-21 02:00:17

Re: 0.9999....(recurring) = 1?

#263 2007-01-21 02:38:00

Re: 0.9999....(recurring) = 1?

#264 2007-01-21 02:40:01

Re: 0.9999....(recurring) = 1?

#265 2007-01-21 03:11:24

Re: 0.9999....(recurring) = 1?

#266 2007-01-21 06:09:52

Re: 0.9999....(recurring) = 1?

#267 2007-01-21 23:42:15

Re: 0.9999....(recurring) = 1?

#268 2007-01-21 23:50:25

Re: 0.9999....(recurring) = 1?

#269 2007-01-22 00:12:22

Re: 0.9999....(recurring) = 1?

#270 2007-01-22 00:22:36

Re: 0.9999....(recurring) = 1?

#271 2007-01-22 00:31:41

Re: 0.9999....(recurring) = 1?

#272 2007-01-22 00:45:21

Re: 0.9999....(recurring) = 1?

#273 2007-01-22 00:49:29

Re: 0.9999....(recurring) = 1?

#274 2007-01-22 00:57:09

Re: 0.9999....(recurring) = 1?

#275 2007-01-22 00:59:30

Re: 0.9999....(recurring) = 1?

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