Is 1 = 0.9999......

[Kyteland]

Originally posted by: dighn
to say the 0.9r in 9.9r is different from 0.9r would mean the series 9/10 + 9/100 + 9/1000 ... has a finite length

but the series 9/10 + 9/100 + 9/1000 +9/10000 ... is equivalent to the series 9/10 + 9/100 + 9/1000 ... which is exactly what you get after multiplying 0.9r by 10, after the first term (0.9r * 10 = 9 + 9/10 + 9/100 ...)

I still want to see a rebuttal from the people who say that 10*0.9999..... != 9.9999..... This infinite series makes it quite clear.

Oh, and bump!

 

[Yax]

(From the poll result) Its amazing to see that almost half the people here have not taken math courses above Algebra 2.

 

[Zorba]

I think that there are too many people on these forums that have no concept of infinity.

 

[MadRat]

Originally posted by: Kyteland

Originally posted by: MadRat
"9.9r = 9 + .9r" is not flawed.

".9r * 10 = 9.9r" is flawed in the sense that the .9r of 9.9r no longer has the same value. It is in this sense that the use of

9*0.9r = (10-1)*0.9r = 9.9r - 0.9r = 9 = 9*1
9*0.9r = 9*1
0.9r = 1

is flawed.

How can you say this and not provide any evidence? I thought we went through this already. If you want anyone to belive your claims then you need to support them.

I'm still waiting for Kyteland to prove that .999... can be divided by 10....

 

[bleeb]

Should we dare attempt to move this thread to 2000 posts???

 

[Kyteland]

Originally posted by: MadRat

Originally posted by: Kyteland

Originally posted by: MadRat
"9.9r = 9 + .9r" is not flawed.

".9r * 10 = 9.9r" is flawed in the sense that the .9r of 9.9r no longer has the same value. It is in this sense that the use of

9*0.9r = (10-1)*0.9r = 9.9r - 0.9r = 9 = 9*1
9*0.9r = 9*1
0.9r = 1

is flawed.

How can you say this and not provide any evidence? I thought we went through this already. If you want anyone to belive your claims then you need to support them.

I'm still waiting for Kyteland to prove that .999... can be divided by 10....

0.999... = 9/10 + 9/100 + 9/1000 + ...
0.999.../10 = (9/10 + 9/100 + 9/1000 + ...)/10
0.999.../10 = 9/10/10 + 9/100/10 + 9/1000/10 + ...
0.999.../10 = 9/100 + 9/1000 + 9/10000 + ...
0.999.../10 = .09 + .009 + .0009 + ...
0.999.../10 = 0.0999...

Would there be anything else?

 

[Binar]

1=1
0.9999=0.9999

easy next question plz

 

[dighn]

Originally posted by: Binar
1=1
0.9999=0.9999

easy next question plz

we are talking about 0.9999r here

 

[Eli]

OMG...

This thread is back.

 

[Xionide]

NOES! WHEN WILL IT END?

-Xionide

 

[TuxDave]

I dunno, I'm still not happy until the polls show that > 50% of the people agree that they're equal.

 

[MadRat]

Kyteland, you're wrong about the answer because you cannot perform the function. Your oversimplified answer is no proof.

 

[csyberblue]

Originally posted by: flood
1/3 = 0.3333...

1/3 + 1/3 + 1/3 = 1
0.3333... + 0.3333... + 0.3333... = 0.9999...

1 = 0.9999...

 

[dighn]

Originally posted by: MadRat
Kyteland, you're wrong about the answer because you cannot perform the function. Your oversimplified answer is no proof.

admit it, you are just trolling.

 

[Hector13]

Originally posted by: dighn

Originally posted by: MadRat
Kyteland, you're wrong about the answer because you cannot perform the function. Your oversimplified answer is no proof.

admit it, you are just trolling.

sadly, he isn't trolling; he just isn't very bright. Again, it's like arguing that the letter A isn't before the letter B. Either you understand the rules of the number system or you don't.

 

[Talon02]

HOLY THREAD RESSURECTION BATMAN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

 

[MadRat]

Hector, if anyone is trolling it's the small minority of mathematical geniuses spouting how they understand math and nobody else around here gets it unless 1=.999...; they're pretty easy to spot since they start every one of their rebuttals in the thread with something akin to "You really don't understand math..."

 

[ElFenix]

Originally posted by: MadRat
Hector, if anyone is trolling it's the small minority of mathematical geniuses spouting how they understand math and nobody else around here gets it unless 1=.999...; they're pretty easy to spot since they start every one of their rebuttals in the thread with something akin to "You really don't understand math..."

name the number between 1 and .999...

if you can't, you're the troll.

 

[Mday]

kyteland, i am going to find out where you live, and beat you with to an inch of your life...

i have no idea how i am going to do that since life isnt measured in inches.

 

[KEV1N]

Always declare the space in which you are doing the proof, i.e. R, N, Z, Q, etc.

 

[silverpig]

Originally posted by: KEV1N
Always declare the space in which you are doing the proof, i.e. R, N, Z, Q, etc.

R



edit: that's not a REPOST R either 🙂

 

[OokiiNeko]

name the number between 1 and .999...

We'll call that number "x".

Here ya go: x=1-1(1/10^n);where n -> infinity

 

[Hector13]

Originally posted by: OokiiNeko

name the number between 1 and .999...

We'll call that number "x".

Here ya go: x=1-1(1/10^n);where n -> infinity

what exactly is the limit of 1/10^n as n -> infinity? It couldn't be zero, could it?!?
So x would equal 1 - 0 = 1

 

[Legendary]

Originally posted by: OokiiNeko

name the number between 1 and .999...

We'll call that number "x".

Here ya go: x=1-1(1/10^n);where n -> infinity

With that, x = 1

 

[OokiiNeko]

With that, x = 1

x=1-1*(1/10^n) where n is 1 -> infinity.

Shouldn't have to put the * symbol in, but the way this thing is going 😛