0.9999....(recurring) = 1?

Anthony.R.Brown · 2007-01-22 01:02:24

To Dross!

Quote"Second thing: we on this site are being FAR nicer to you than we really should be by continuing to post "

ARB

You are Lucky im Answering you in anyway! from some of the Post's you have tried to put forward about me! that have beem Removed!!

Dross · 2007-01-22 01:10:23

Anthony.R.Brown wrote:

None of this changes the fact that there are no Single decimal Values that = One 3rd
Which is where the Accuracy is Lost!

There is no loss of accuracy when representing 1/3 as 0.3333... - they represent exactly the same number.

Secondly, if we were working in base-3 arithmetic, then "one out of three" would be represented by the decimal expansion "0.1" - so there you have it. A finite decimal expansion of the number we are talking about. And, in base-3 arithmetic:

0.1 + 0.1 = 0.2,

0.1 + 0.1 + 0.1 = 1 (the same "1" as in our usual, base-10 arithmetic)

You are Lucky im Answering you in anyway! from some of the Post's you have tried to put forward about me! that have beem Removed!!

Yeah, but none of them said anything that was false.

Anthony.R.Brown · 2007-01-22 01:14:17

To Dross!

Quote:"Yeah, but none of them said anything that was false."

ARB

This ENDS! your little Run!

Dross · 2007-01-22 01:41:57

Anthony.R.Brown wrote:

To Dross!
Quote:"Yeah, but none of them said anything that was false."
ARB
This ENDS! your little Run!

What, so you're allowed to start multiple threads on one topic and post content that is (at the very least) bordering on personal attack... but you tuck-tail and run when it's good for you? When I actually produce something you cannot refute by waving your hands and being vague?

You've tried bluffing, and you've been called - get over it like a grown-up.

I managed to produce what you requested - a number with one digit after the decimal place, and that is equal to one third. Are you not going to at least draw any conclusion from that? Why did you ask me to, if you weren't going to use my answer?

luca-deltodesco · 2007-01-22 03:29:31

Dross wrote:

tc. etc.

i see he's starting to pee you off too?

Dross · 2007-01-22 04:38:32

luca-deltodesco wrote:

Dross wrote:
tc. etc.
i see he's starting to pee you off too?

"Can ya tell?"

MathsIsFun · 2007-01-22 10:08:29

I have got past that into simple bemusement.

Anthony.R.Brown · 2007-01-23 00:29:33

Let's Just have a look at this! even though it's not the way I would describe Infinite 0.9

0.9999999999999999.........(recurring) = 1 ?

The problem with the Above is The Dictionary Definition of (recurring) is a Number that Repeats it's self!

If 0.9999999999999999.........(recurring) did = 1 then it would no Longer be Repeating it's self ?

Dross · 2007-01-23 01:00:08

MathsIsFun wrote:

I have got past that into simple bemusement.

I keep drifting between that and righteous indignation.

luca-deltodesco · 2007-01-24 01:23:49

why do you keep repeating, the same thing again and again, your last post here, is exactly the same as youre previous one, theres no need

Devantè · 2007-01-24 09:45:55

[ Reported ]

Too many duplicate posts, a moderator needs to know about it.

MathsIsFun · 2007-01-24 10:09:53

Duplicates removed (... I think ... because the same thing seems to go around and around!)

Anthony.R.Brown · 2007-01-24 22:03:26

Just to Back up a previous Post of Mine!

From the Cambridge Advanced Dictionary!

["Recurring number noun [C] (SPECIALIZED recurring decimal)
a number that repeats itself forever following a decimal point, such as 3.3333..."]

ARB

O.3333....is a number that repeats itself forever following a decimal point!
and so is..0.9999 ....a number that repeats itself forever following a decimal point

But I'm Quite Sure 1 is not! Especially as it has no Decimal point!!

Any thoughts on this!.....

Ricky · 2007-01-25 05:20:17

1.0

It has a decimal point.

Anthony.R.Brown · 2007-01-26 00:36:44

To Ricky!

Quote:

"1.0

It has a decimal point."

ARB

But it,s not a Repeating Decimal Point!

kylekatarn · 2007-01-26 00:45:11

Anthony.R.Brown wrote:

To Ricky!
Quote:
"1.0
It has a decimal point."
ARB
But it,s not a Repeating Decimal Point!

1 = 1.0 = 1.00 = 1.000 = ... = 1.(0)

Anthony.R.Brown · 2007-01-26 01:42:07

To kylekatarn

QUOTE:

" 1 = 1.0 = 1.00 = 1.000 = ... = 1.(0) "

ARB

That's a Repeating 00000000

Anthony.R.Brown · 2007-01-26 01:45:19

To kylekatarn

QUOTE:

" 1 = 1.0 = 1.00 = 1.000 = ... = 1.(0) "

ARB

or Better!!

That's a Repeating 0

Dross · 2007-01-26 02:14:42

Anthony.R.Brown wrote:

To kylekatarn
QUOTE:
" 1 = 1.0 = 1.00 = 1.000 = ... = 1.(0) "
ARB
or Better!!
That's a Repeating 0

How is a repeating 0 excluded in the definition you gave earlier:

Anthony.R.Brown wrote:

["Recurring number noun [C] (SPECIALIZED recurring decimal)
a number that repeats itself forever following a decimal point, such as 3.3333..."]

?

kylekatarn · 2007-01-26 02:15:11

Anthony.R.Brown wrote:

To kylekatarn
QUOTE:
" 1 = 1.0 = 1.00 = 1.000 = ... = 1.(0) "
ARB
or Better!!
That's a Repeating 0

...and it's beautiful, isn't it? ^^

MathsIsFun · 2007-01-26 09:40:29

(I try to stop myself posting here, but I can't resist.)

Yes, kylekatarn, it is beautiful!

George,Y · 2007-01-26 17:09:19

1=2=3=4=5=6=... is also beautiful

MathsIsFun · 2007-01-26 20:37:20

How?

Patrick · 2007-01-26 21:36:52

Well, I think Georgy, Y is back to disagree I understood the post as if he's saying one number can't be equal to another, and if it can - why can't 1 also be 2 and so on? I just think he missed the point that they aren't different numbers (1 and 0.(9)). All this comes down to the view he has on infinity.

MathsIsFun · 2007-01-26 22:57:55

Oh, well I was commenting on how nice the concept of repeating decimals was ... how it all "hangs together".

I think the important thing is to know that decimal numbers are just a common way of representing numbers.

For example, instead of saying 1=1.000... we could use an infinite series:

And likewise, instead of saying 1=0.999... we can write:

But I think this will just spark even more discussion.

Math Is Fun Forum

#276 2007-01-22 01:02:24

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

#277 2007-01-22 01:10:23

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

#278 2007-01-22 01:14:17

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

#279 2007-01-22 01:41:57

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

#280 2007-01-22 03:29:31

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

#281 2007-01-22 04:38:32

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

#282 2007-01-22 10:08:29

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

#283 2007-01-23 00:29:33

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#284 2007-01-23 01:00:08

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

#285 2007-01-24 01:23:49

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

#286 2007-01-24 09:45:55

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

#287 2007-01-24 10:09:53

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

#288 2007-01-24 22:03:26

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

#289 2007-01-25 05:20:17

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

#290 2007-01-26 00:36:44

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

#291 2007-01-26 00:45:11

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

#292 2007-01-26 01:42:07

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

#293 2007-01-26 01:45:19

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

#294 2007-01-26 02:14:42

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

#295 2007-01-26 02:15:11

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

#296 2007-01-26 09:40:29

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

#297 2007-01-26 17:09:19

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

#298 2007-01-26 20:37:20

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

#299 2007-01-26 21:36:52

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

#300 2007-01-26 22:57:55

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

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