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does .99999999999 infinity = 1
Probably in the past, does it really matter?
I think its awesome. Approaching something but never ever getting there.
0.444444~ = 4/90.323232~ = 32/99
0.9999999~ = 9/9 = 1
Without rounding up, 0.99~ is equal to one. You see, all integer numbers can be written in two ways, lets take 1 for example:1.00000~0.9999~Em, remember how to turn numbers with infinite periodic decimals into fractions? Code: [Select]0.444444~ = 4/90.323232~ = 32/99Well, do that with 0.9999~Code: [Select]0.9999999~ = 9/9 = 1No need to know and understand the idea of limit, just read the explanation above.
Technically 0.9 recurring + 0.1 recurring = 1However when doing maths it is acceptable to write 0.9 recurring = 1
he has eyebrows of authority + 5. Are you kidding?
Okay if this was rounding them then just .9 or even .999999999999999999999999999 would be = to 1,but if it was no rounding, then .9 would be closest to one then the more 9's you get the farther you get from a one
Quote from: Wolf_Man on November 05, 2006, 11:36:06 amOkay if this was rounding them then just .9 or even .999999999999999999999999999 would be = to 1,but if it was no rounding, then .9 would be closest to one then the more 9's you get the farther you get from a oneWrong, you get closer with more numbers following in the decimal..99 is not closer to 1 then .9
Dascoo's post reminds me one of the ali g's show where he was interviewing nasa lol
I like this algebraic proof my university math professor showed us:a = 0,999...Multiply by 10: 10a = 9,999...Substract a: 10a - a = 9Divide by 9: a = 1http://en.wikipedia.org/wiki/0.99999End of discussion!
0.333… = 1⁄33 × 0.333… = 3 × 1⁄30.999… = 1
c = 0.999…10c = 9.999…10c − c = 9.999… − 0.999…9c = 9c = 1
.99999999--> will continually get closer to 1, but never reach it. draw a graph of y=1/x to see a visual example.
Quote from: Plonkoon on November 05, 2006, 11:26:39 am.99999999--> will continually get closer to 1, but never reach it. draw a graph of y=1/x to see a visual example.Plonkoon wins for giving a tangible explination. Applaud.
Students of mathematics often reject the equality of 0.999… and 1, for reasons ranging from their disparate appearance to deep misgivings over the limit concept and disagreements over the nature of infinitesimals. There are many common contributing factors to the confusion: * Students are often "mentally committed to the notion that a number can be represented in one and only one way by a decimal." Seeing two manifestly different decimals representing the same number appears to be a paradox, which is amplified by the appearance of the seemingly well-understood number 1.[12] * Some students interpret "0.999…" (or similar notation) as a large but finite string of 9s, possibly with a variable, unspecified length. If they accept an infinite string of nines, they may still expect a last 9 "at infinity."[13] * Intuition and ambiguous teaching lead students to think of the limit of a sequence as a kind of infinite process rather than a fixed value, since a sequence need not reach its limit. Where students accept the difference between a sequence of numbers and its limit, they might read "0.999…" as meaning the sequence rather than its limit.[14] * Some students regard 0.999... as having a fixed value which is less than 1 but by an infinitely small amount. * Some students believe that the value of a convergent series is an approximation, not the actual value.
There's no such thing as .000~1. That's called zero. And no, you can't prove 1=2. They divided by zero. MATH IS MATH, AND IT IS THE LAW. MATH DOESN'T NEED ANYONES OPINION. YOU CAN'T PROVE SOMETHING THAT ISN'T TRUE, PANZER. MATH IS NOT INACCURATE. THE NUMBER SYSTEM IS PERFECT BY DEFINITION.
0.9999~ is impossible to graph, at least, completely. It's like trying to see where the y = x line ends by making a graph out of it.
And swarmer:0.333… = 1⁄3is still rounding. Just go with fractions people.
it would be .000000 infinity zeros and then 1 as the last number since infinity zeros go on forever
Quote from: Nfsjunkie91 on November 05, 2006, 11:52:48 amQuote from: Wolf_Man on November 05, 2006, 11:36:06 amOkay if this was rounding them then just .9 or even .999999999999999999999999999 would be = to 1,but if it was no rounding, then .9 would be closest to one then the more 9's you get the farther you get from a oneWrong, you get closer with more numbers following in the decimal..99 is not closer to 1 then .9I'm confused. Are you saying that .9 is closer to 1 than .99 or what?.99 is closer to 1 because it is .09 more than .9 (or .90) and so on and so forth. It's like saying that 99 is closer to 100 than 90.
NO IT ****ING IS NOT GARARARAR GREEBL GREEBL.THERE ARE SO MANY PROBLEMS IN TODAYS WORLD THAT WE CAN'T SOLVE BECAUSE OUR SYSTEM OF NUMBERS IS BULL****.
IT WORKS IN THE SHORT RUN BUT WHEN WE START HAVING HUGE FORMULAS THAT TAKE DIFFERENT EQUATIONS WORKED OUT THROUGH MANIPULATING NUMBERS LIKE PI AND STICK THEM ALL TOGETHER IT'S SCREEEWED.
PI SHOULD BE A DEFINITIVE VALUE. BUT IT'S NOT BECAUSE OUR NUMBER SYSTEM SAYS *Girlish prancy voice* Ohhhh you can't make pi an exact value because the numbers go on forever *End of girlish prancy voice*
YOU CAN PROVE THINGS THAT AREN'T TRUE (IN THE MINDS OF PEOPLE THAT THINK IT'S TRUE).
EVERYONE WAS SURE THAT THE WORLD WAS FLAT AS MUCH AS THEY WERE SURE 1+1=2 AND THAT WAS THEREFORE SAID TO BE TRUTH, BUT THEN CHRISTOPHER COLUMBUS PROVED THAT IT IS ROUND AND EVERYONE'S *OPINION* WAS CHANGED.
LAW IS ALSO SOMETHING THOUGHT UP BY HUMANITY BUT JUST BECAUSE IT'S SOMETHING THAT A LOT OF PEOPLE SAY IS TRUE DOESN'T ACTUALLY MAKE IT TRUE.
P.S. Numba system 'aint perfect Grin
our math system is messed up but who would change it?
QuoteYOU CAN PROVE THINGS THAT AREN'T TRUE (IN THE MINDS OF PEOPLE THAT THINK IT'S TRUE).NO YOU CANT. NAME A SINGLE EXAMPLE.
Look at religion. Look at anything that is deemed as the truth, there always will be inconsistencies.
Pi is an irrational number yes, but because of humans way of arranging values like pi into what we know as our number system, it makes them undefinable. It goes on forever. If we had a different number system where we could just say BAM x=pi (That fits in with everything else) then we could make calculations perfect.At the moment we are just going by an inaccurate set of digits that go on forever and therefore we are never going to acheive perfect maths. The same with the .999 = 1 thing. If the number system humans thought up would have been considered more before saying it's perfect then we wouldn't have these problems.
The reason all of our maths is screwed is because the stupid guy that invented our number system made it like it is today, which causes problems with things like .999 and infinity.
This is all leading back to what I said already, if at the beginning when they first thought up the concept of a number system they thought about it a lot more than what they obviously didn't, then we wouldn't have friggin problems like these.
No that's just exploiting the algebraic system to prove something that isn't actually true, there are many other things you can 'prove' using it too, but they aren't accurate. THE NUMBER SYSTEM IS ****ED get a new one earth.
But it's .99999999999, not 1. So techinically, It's .9999999999, not 1, because you didn't say it was 1.
0.333… = 1⁄3is still rounding. Just go with fractions people.
I know people didn't invent pi, I didn't say that. It's the way our number system sets it out like that, which is the cause of humans making the number system like that in the first place.EDIT: Ugh .. ok so like instead of using 1 and 2 and 3 etc. we could have something completely different, not even necessarily in consecutive order. Hmm ... it's a hard concept to grasp because it's almost unimaginable, seeing as it's nothing we've never seen or used. But it would be really weird anywho. Ugh, I can't even be bothered to think about this now... Tongue
There could even be more intelligent beings out there that have 'perfect maths'. Hate saying that cause I know you're going to moan, but they could come here and prove our ideas of maths and science to be bull****.
Why don't we use binary? Be alot simpler imo.
Pi IS defineable. It's most certainly a defined number. A number that is NOT defined is something like 1/0. Just because something can't be expressed as a fraction doesn't mean it's not defined. Also, pi is not this way because of "humans way of arranging values like pi into what we know as our number system," it's that way because that's the way the universe works. People didn't INVENT pi. Pi was DISCOVERED to be the ratio of a circle's circumference to its diameter (or its area to the square of its radius).On topic, the definition of the "..." notation used for 0.999... seems not to be understood. The definition of 0.999... is the limit of the sequence {sum(9/(10^i)) for i from 1 to n} for all natural numbers n. This basically is a precise way of defining the sequence {0.9, 0.99, 0.999, ...}. Every number in that sequence is a real number (a rational number, no less). The limit of this sequence, I'm pretty sure, we can all agree, is 1. Therefore 0.999... = 1.
QuoteI know people didn't invent pi, I didn't say that. It's the way our number system sets it out like that, which is the cause of humans making the number system like that in the first place.EDIT: Ugh .. ok so like instead of using 1 and 2 and 3 etc. we could have something completely different, not even necessarily in consecutive order. Hmm ... it's a hard concept to grasp because it's almost unimaginable, seeing as it's nothing we've never seen or used. But it would be really weird anywho. Ugh, I can't even be bothered to think about this now... TongueOkay, I see where you're going with this now. Sure, we could define pi to be something that doesn't repeat. However, if we do this, then every time you want to say something like "I have one apple," that "one" would be a repeating decimal. Every time you used the number one in calculations, it would be a repeating decimal. All integers as we use them would have to be irrational (I'm fairly certain) in order for pi to be a rational number, by a different definition of numbers.I'll have more on this after I get done studying how we define the real number system based on the rational number system this week in Abstract Algebra.
It's exploiting the system of algebra, if by "exploiting," you mean "using." Show me the inaccuracy in the logic that makes it "exploiting the algebraic system to prove something that isn't actually true." Show me something false you can prove using valid algebra, and I will be inclined to concede to your point.
Wow, that's annoying and weird that when you edited your post, it bumped it below mine, in which I REPLIED to your post. Strange forums
But on to the point, if you're saying that we could use some kind of token number to represent pi, then I have nothing to say but that we already have.
You're basically stating (as far as I can tell) that every number should have a finite decimal representation, or in other words, every real number should be rational. You're claiming that there IS a way to do this. My first response is: Prove it. The burden of proof rests on you, my friend, because the real number system as it is now seems perfectly well defined to me and all the brilliant mathematicians in the world.
My second response is one you won't understand. You are claiming that there does exist a bijection between the rational numbers and the real numbers, a statement which can be and has been proven to be false, by extension of Cantor's proof that there is no bijection from the natural numbers to the interval (0,1), a proof I can duplicate if need be
They are things like 0 = 1, 1 = 2 and some others that I can't remember, say 4 = 12 (That one I don't know how to do, because I just made it up, but it's just an example).
I can't prove it, and I don't intend on trying to, it's just too insanely difficult. It can be accomplished, but not by me, probably by the next Einstein.
QuoteI can't prove it, and I don't intend on trying to, it's just too insanely difficult. It can be accomplished, but not by me, probably by the next Einstein.The sky is pink with purple polkadots. I can't prove it, but it's true. Someone will prove it later, because it CAN be done.
Math is something humans made up. Humans aren't perfect, thus making math not perfect. Math is very weird. Even though I don't like to beleive that .999 =1 I do. if you look at it with math, .999=1. If you look at it with logic, .999 does not equal 1. To me .999 =1 or not by depending on WHO does the math.
if you look at it with math, .999=1. If you look at it with logic, .999 does not equal 1.
Math is something humans made up.
Quote from: Commander Kitsune on November 05, 2006, 08:01:04 pmMath is something humans made up. Humans aren't perfect, thus making math not perfect. Math is very weird. Even though I don't like to beleive that .999 =1 I do. if you look at it with math, .999=1. If you look at it with logic, .999 does not equal 1. To me .999 =1 or not by depending on WHO does the math.This guy wins the thread. The first part was pretty dumb, but this part
Math is assigning characters to things and discovering the rules that govern them.
Actually, if humans also made up the concept of perfection, and if human aren't perfect then perfection isn't perfect , and you've found yourself a paradox. And is now impossible to say whether or not anything is perfect.QuoteIt wouldn't be a paradox, because you are assuming too much.
It wouldn't be a paradox, because you are assuming too much.
Logic failed.This is what you are saying:Statement A: .999... = .999...Statement B: 1 = 1Conclusion: Therefore, .999... is not 1Now that's like saying this:Statement A: All ducks are ducks.Statement B: All birds are birds.Conclusion: Therefore, ducks are not birds.There's no rule that says every number can only be written one way.The number 1 can be written an infinte number of ways, such as:1/1, or 4346/4346, or pi/pi, or x/x, or x^0, or 0!, or even .999....
There's no rule that says every number can only be written one way.The number 1 can be written an infinte number of ways, such as:1/1, or 4346/4346, or pi/pi, or x/x, or x^0, or 0!, or even .999....
Quote from: Swarmer on November 05, 2006, 11:05:24 pmLogic failed.This is what you are saying:Statement A: .999... = .999...Statement B: 1 = 1Conclusion: Therefore, .999... is not 1Now that's like saying this:Statement A: All ducks are ducks.Statement B: All birds are birds.Conclusion: Therefore, ducks are not birds.There's no rule that says every number can only be written one way.The number 1 can be written an infinte number of ways, such as:1/1, or 4346/4346, or pi/pi, or x/x, or x^0, or 0!, or even .999....We're not comparing apples to oranges here. It's more like different kinds of apples.Red Apples are Red ApplesGreen Apples are Green ApplesTherefore, Red Apples are not Green Apples
We're not comparing apples to oranges here. It's more like different kinds of apples.Red Apples are Red ApplesGreen Apples are Green ApplesTherefore, Red Apples are not Green Apples
.999... is .999.... 1 is 1. .999... LOGICALLY! is not 1.EDIT: Logic rocks.
EDIT: Hmmmmm, does 1.000~1 = 1 ?>_>
... so should i take how many of you said its 1.. and add them up and how many of you said it isnt an who ever has the most wins?or is there real proof of something because all those numbers are confusing the heck out of me.