Forums Index >> General >> 0.999... = 1
Page : <1> :
I love my randylion
Math 8o
Ewwww thts geeky :P anyways b20 thought u left :P go on MSN soon and I like tht last pic. Its cool
my blaster will destroy u!
Math = gaming gaming = me math DOES NOT = me :( I hope it does soon!
^ enough proof for me...
^^ exatly! Lets take this abit farther! Anyone know any math experts emails? Spam time!!!!!!!!!1 :P jk I never spam I hate it! XD
It's interesting because in my trade (I work with metal: Sterling Silver, 14K Gold and 14/20 Gold-Filled) we use.999 to describe a pure metal. Sterling silver is in fact 925/1000 pure silver (99.9% Silver) mixed with copper/zinc for hardness (for the reminder 075/1000). Thus you can look for the '925' microstamp on silverware, silver rings, components, etc. 99.9% Pure SIlver is just too soft for any practical use.
But in terminology, there's no '100% pure silver' nor '100%' pure gold; 99.% = Pure. Another case of.999 = 1. :P
Kool I never knew that! Thanks for the info tidbit! Never know when it will come in use!
You cannot prove that an irrational number = a rational number. That is what makes irrational numbers irrational
If u you say that 1/3 * 3 = 1 that is a false statement because 1/3 is irrational
Edit: because 1/3 * 3 =.333333....* 3 =.999999999...
That means that 1/3 * 3 =.999999 not 1
Thats right...if there is 10 bucks and we try to split it evenly 3 ways there is gonna be a penny left for someone....but its close enough!! What about if we are splitting a thousand dollar dinner 3 ways? Theres that damned penny again!
That formula u use above for proving.9999 = 1 is based on the theorm of arithmatic sequences. That theorm specifically states that its for rational numbers only.
In the algebreic example a real number is substituted for an irrational....for example you cant take out 1/3 an put in N because N is assumed to be rational and 1/3 is irrational.
This fallacy works for anything on that link.
Remember WE invented the number system. There is no practical application for precision past a few thousand places or usually past even a dozen. Later we invented limits to describe convergence to a number but never actually getting there. ITS CLOSE ENOUGH though
B
Last edited: Thursday, October 26, 2006 at 10:25:36 PM
Time to re-take 4th grade math Bolo, all fractions are rational numbers.
Time to re-take 4th grade math Bolo, all fractions are rational numbers.
Who says he took in the first place? Eh? Eh?
Oh yeah, forgot I was gone.
Only lethal on days that end with "Y"
@Feathers McGraw
THE PROFESSER DUDE FROM SIMPSONS WAS NOT TELLING THE TRUTH WHEN HE SAID ╥=3 he was lying because he wanted to get the other scientists attention at this place when Lisa found a bully cure!!!!!!!!!!!!!!!!!!!!!!!!!!
LIAR!! (Thats right, I'm a simpsons nerd) HERES how the story goes, lisa got beat up, realized the sweat nerds sweatted caused bulllies to beat nerds up! So lisa went to the science convention and preformed a test! Her theory was correct!
when that happened, the audience kept on talking, and the proffesser YELLED, "PI IS EXACTLY THREE!!!!!!!!!!!!!!!!!", and got everyones attention. PI IS NOT THREE, HE WAS GETTING PEOPLES ATTENTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Last edited: Sunday, October 29, 2006 at 8:27:17 AM
Dude.... Do you know what "comedy" is?...you might want to do some research on that. :(
I'm in college...of course I know Pi = 3.1459etc. I found this "theorum" funny, since.99999999999 is not 1, but someone has tried to make it = 1. Who knows, the equation could be 100% correct and.99999999999999999 = 1.... But I'm skeptical.
I've also seen an equation a few years ago which stated 2 + 2 = 3...so ya never know.
You're right,.999999 != 1 but.99999999.....(repeating) = 1.
Last edited: Sunday, October 29, 2006 at 7:18:03 PM
Not irrational like the root of 2 by definition, but the same logic applies. You cant do arithmatic with fractions that repeat and be exact so why use them in a proof?
Edit:
I just thought of something.
1/9 =.11111111...
2/9 =.222222222...
......
8/9=.8888888888...
9/9 must =.999999999....... But it = 1 so.9999999... = 1?
B
Last edited: Sunday, October 29, 2006 at 9:54:10 PM
Not so. A fraction is an exact method of describing a number that may not be exactly describable in decimal format.
1/3 != 0.333333
We have a notational workaround for repeating decimals, but not for non-repeating decimals.
So therefore 3* (1/3) = 1, but 0.333333 * 3 = 0.999999 < 1.
Computers have this same problem because they calculate only in binary. There are many more numbers that we can represent exactly in decimal that computers can only approximate in binary.
.1 in binary is 0.5 (1/2)
.01 in binary is 0.25 (1/4)
.001 in binary is 0.125 (1/8)
... And so on.
0.11 = 0.75
0.111 = 0.875
??? = 0.3? A number very easily representable in decimal...
.01001100110011001...
But if we change to the base three notation, what we call 1/3 or 0.333333 would merely be 0.1 - an exact match. And in base 3, 1/3 * 3 would be written: 0.1 * 10 = 1. Exact match.
The problem is not with the numbers, it's with our method of representing them on paper. It just doesn't have the resolution.
This is how my mom explained it 2 me
I get it and im what? 10 years before collge?
1x0.999....= 0.999... Really obvious bear with me
10x0.999...= 9.999...
9.999...-.9 = 9.0 yes thats only taking away 1 of the 9s I don't get it either
9.0/.9=1
There ya have it
yes im a girl and yes this is my anime crush
Player/monica: I had my definitions screwed up...i just meant that using the examples from wiki they are using theorms that are meant for numbers that dont infinitely repeat
Tsk: ummmm...no id say u dont get it
Tmo: since fractions can be used as ways of representing decimals that repeat then what is the fraction to represent.99999999... ?
It would be 9/9 as I stated in my previous post. But 9/9 = 1 so instead of saying.99999999... = 1 id say.999999... Doesnt exist in base 10...
Thoughts?
B
I didn't say every number could be represented by a fraction. I was pointing out that decimal representation is not always the most accurate way of representing a number.
The problem here is mostly one to do with infinity. The difference between 0.999999... And 1 is infinitely small. Infinitely small essentially equals 0.
Cool to have a math thread. :) I don't get exposed to Math enough.
PLease someone starts a Chemistry thread. Or two: Organic and Inorganic Chemistries. :)
Page : <1> :
It's true.
Mad scientists researched on the number 0.99999999999...... So on and it equals to 1! You might think that is IMPOSSIBLE, but with powerful algebra, it's been proven that is equals to EXACTLY to the lonely number 1.
BEHOLD!
Furthur details at: http://en.wikipedia.org/wiki/0.999
Believe it or not! XD
- b20