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KaylaBrewington
 2 years ago
Best ResponseYou've already chosen the best response.0yes because the number line never stops

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1349359330358:dw Is infinity a number?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2not a natural number and not real number either.

chandhuru
 2 years ago
Best ResponseYou've already chosen the best response.1infinity is something which cant be defined...

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2no .. irrational number is a real number.

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0IS infinity a number?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2it's a number is http://en.wikipedia.org/wiki/Hyperreal_number and http://en.wikipedia.org/wiki/Surreal_number ... I don't know much about this ... but this is not a real number and natural number.

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0If 100000000000000... is not a natural number then the set of natural number is finite. right?

chandhuru
 2 years ago
Best ResponseYou've already chosen the best response.1@experimentX how do u say that it is not a real number??

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2no ... the set of natural number is infinite but does not contain infinity.

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4Infinity is a concept, not a number (I know I'm basically just restating, but it is worth emphasizing)

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2you always write dw:1349359774760:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2you should have noted.

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0then why 1/3 is considered a number?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.40.3333.... as the 3's continue the number is not getting any bigger, as opposed to making an infinitely number before the decimal which would create an infinitely large number.

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4hm... I phrased that poorly :/

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2natural number is defined as inductive set that begins with 1 and dw:1349359861034:dw

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4indeed what would 10000.....+1 be? could you write it? where would you put the 1 ?

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0Why 0.333333333333333333....... is a number?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4that is different from 0.3333....+1=1.3333... not problem there

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.21/3 is repetitive ... if you take 1m string ... fold it thrice, you can always pinpoint this is 1/3 . Therefore it lies inside real number line.

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4you can add any number to 0.333.... and create a new number on the real line where would 1000...+1 be on the real line if you can point it out then I will let you call it a number ;)

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4I like this video to help with understanding repeating decimals, though it does not directly answer your question http://www.youtube.com/watch?v=TINfzxSnnIE

chandhuru
 2 years ago
Best ResponseYou've already chosen the best response.1@abdul_shabeer u can find the number 0.333333333 or atleast u can locate the point 0.33333 number between 3 and 4 , but u cant locate the infinity .......

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0We can't locate 0.333333.......

chandhuru
 2 years ago
Best ResponseYou've already chosen the best response.1atleast u know that 0.33333 is present between 0.3 and 0.4 .... in case of infinity u cant ...... can u ????

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4dw:1349360426152:dw

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4now you show me what two numbers 1000..... lies between :)

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0What is (0.333333......)* 10?

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.00.333..... * 10 = 0.333...+0.3333....+0.3333....( 10 times) Can we add this?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4I think it is a lot easier to see it as 1/3+1/3+1/3+...(ten times) =10/3

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0I want to add it without converting it into 1/3

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0As 0.3333.... = 1/3, in whichever way i add I must get the same result

Razzputin
 2 years ago
Best ResponseYou've already chosen the best response.0100000000000......... lies between 99999999999...... and 11000000000000...... where all three of the numbers stretch out infinitly.

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.40.333...+0.333...=0.666... 0.666...+0.333...=0.999... 0.999...+0.333...=1.222... do that ten times and you will get 3.333...

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4and @Razzputin that is wrong, how can you show me that 9999... is not bigger than 1000... ?

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0How 0.999...+0.333...=1.222...?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4are there more digits in one number or the other? no

Razzputin
 2 years ago
Best ResponseYou've already chosen the best response.0what if you where to state that 999.... was 1 less than infinite?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4oh my bad, .999.+.333...=1.333....

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1349364346874:dw

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0and the last digit would be 2

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4yeah but there are an infinite number of 3's and 9's so every digit carries a one from the previous decimal place

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4there is no last digit, that's why it's an infinitely repeating decimal

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0There is no last digit, I just took a small value

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4which makes it not the same as 1/3+1 which is what you are trying to do

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4\[0.333\neq0.333...=1/3\]

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4this is why we don't add numbers with infinite decimals very often; It's ugly, confusing, and entirely unnecessary

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0what do you get when you add 0.9999...+0.3333... without taking 0.99999...=1 and 0.333... = 1/3

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4math is about making things as simple as possible, not overcomplicating things and I told you 0.999....+0.333...=1.333... ^ why is this not a 2? because there is another 3 after it, though we did not write it and another after that, and another after that, ad infinitum

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4at no point does the decimal terminate, hence EVERY digit carries a 1 from the digit after it

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0But still you just can't neglect a 2

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4yes you can because there is absolutely no 2 how many decimal points down would you expect to find it?

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0Which means it is not equal to 1+ 0.3333....

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4it would have to be in the same decimal place as the remaining 1 you might expect by subtracting 10.999... you might say, "well where is the remaining 1?" well, it is literally *infinitely* far down the decimal, which means it ain't there

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4how do you figure that 0.999...+0.333... is not the same as 1+0.333... ?

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0When we add, we add the numbers from Right hand side

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4you want to start at the far right side I presume? but what is the farthest right digit, and what decimal place is it in?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4you are trying to use math skill you learned in grade school to deal with simple, finitely long numbers on an infinitely long decimal representation

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0How do you add two numbers?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4either by grasping the concept that there is no last digit and recognizing that the 1 will ALWAYS carry over from the previous digit, or by representing it as a fraction which is perfectly valid an makes life way easier

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4I suggest you stop trying to hurt your brain dealing with infinitely long decimals and and work on deepening your understanding as to why these infinite decimals are exactly equivalent to fractions

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.00.9999.... = 1, I want to disprove this

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4you can't disprove something that is true

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0Can you prove it?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4again, what is 10.999... ?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4prove it? yes would you like me to?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4\[x=0.\overline9\]\[10x=9.\overline9\]\[10xx=9x=9\]\[x=1\]

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.00.999...*10 = 0.999...+0.999...+0.999...(10 times) How do you add this?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4again, the way I showed you adding 0.333... every time we get the following succession 0.333... 0.666... 0.999... 1.333... 1.666... 1.999... 2.333... 2.666... 2.999... 3.333...

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0But what about the last digit. Though we don't get till last digit we observe that the last digit gets a different value

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4oh I did it with 0.333... but the idea is the same

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4where is this mythical last digit? what decimal place is it in? the tens, the thousands, the tenmillions?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4what is the last digit of pi?

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0It is an irrational number

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4but the point is the same, where is the last digit of 0.999... ? what decimal place is it in?

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0How would you add 8467539+10384?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4normally, from right to left but this is not a comparable problem because each number has a last digit, which is where you start adding from can you do that if there is *no last digit*???

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4how can you start at the far right when there is no far right? you can't

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0But you say that 0.3333..... is a rational number

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4yes and I can prove it what is your point?

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0When you can't start at the far right, how do you take 0.999...*10 = 9.999...

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4by having a deeper understanding of what it means to add two infinitely long decimal representations, or by understanding that this is the same as 1*10 your grade school adding methods are powerless here, you must accept that

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0Why it is same as 1*10?

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0What is the standard way of adding two numbers?

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0Not the grade school adding methods

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4brb @experimentX feel free to take over if you like I will be back in a sec

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2i lost track of it ... looks like conversation reached almost infinity ... where do you have problem?

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0What is the standard way of adding two numbers?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2think of addition as addition of distance.

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0How would you add 8912394+1398124?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2draw a real line .. dw:1349367528137:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1349367566686:dw

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0How would you add 0.999.... and 0.333...?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4I would agree that is a good standard way to think of addition^ but you want to do 0.333...+0.999... in which case you have to observe a pattern, which you seem to be reluctant to accept

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2you can always locate these points on the real line. and if you continue 0.999.... .... to up infinity this is 1 and for 0.33333.... you might think that you can never locate this point on real line. you can actually locate it. and there is ONE and only ONE point on the line i drew. add these distances.

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0This problem started in the proof of 0.999... = 1

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2yeah ... it seems that this is not equal to 1 ... but if you continue this up to infinity ... still this is non intuitive. here a short reason to believe. 0.9 ~ 1.1 < let's find a pair of points 0.99 ~ 1.01 0.999 ~ 1.001 < 0.9999 ~ 1.0001 < in similar fashion you put infinite zeros between 1 and the last 1 what would you get 1.00000000000.. infinite zeros.....................1

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4to do 0.999...*10 you can either 1) accept that multiplication by 10 moves the decimal place over by one space (it is perfectly okay to utilize that, if we did not utilize powerful concepts as givens then math would be a monstrosity to do!) or 2) add each corresponding digit ten times and recognize that there is not last digit, hence every digit will carry a one from the digit to its right, of which there are infinitely many I strongly suggest option 1

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0Multiplication by 10 is nothing but adding it 10 times

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2if you say this is 1 1.00000000000.. infinite zeros.....................1 then this must be equal to 1 too 0.99999999999999.... infinite nines

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4or as I put it, 10.999...=? if we say 10.999...=0.000...1 in what decimal place would the 1 be? infinitely far out, i.e. there isn't one

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2I think you are misunderstanding infinity with undefined, infinity is greater than you imagine.

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.21.00000000000.. infinite zeros.....................1 this means 1.00000000000.. here are more zeros than you imagine ....................1

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4@abdul_shabeer if you want to utilize option 2 that is fine, but be careful about how the digits carry over from infinitely far to the right

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0You mean something which is at infinity is not there.

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4don't play fast and loose with ideas like "infinity means it's not there" this is a subtle and tricky issue, and cannot be captured in a phrase like that

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2yep. kinda something like that http://math.stackexchange.com/questions/11/does999991 also that video by ViHart is very nice ... but few the argument she used had been downvoted quite badly on MSE. Let the experts know.

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0Do you remember the question on whether a point is dimensionless? If we compare the size of earth with universe, how big do you think the earth would be?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4the same size it would be if the universe was only as big as the solar system comparison does not make a thing bigger or smaller

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0if you are out of Milky way and you look at earth, would you be able to find it?

estudier
 2 years ago
Best ResponseYou've already chosen the best response.0If it isn't 1 * 10^n, what is it?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4with the right equipment, theoretically yes

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0With no equipments

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4with the human eye (which is a piece of equipment itself in many respects)? no of course not, why does that matter?

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0If we see the space out of earth, would it appear like a 2D image?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4the ancients thought it was, so I guess you could argue yes, but that is just a matter of the limitations of human perception

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.4there is no obvious perspective point in the night sky, so our brains don't do so well gauging distance why are we talking about this all of a sudden?

abdul_shabeer
 2 years ago
Best ResponseYou've already chosen the best response.0Okay Thank You Max and ExperimentX

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2no probs at all ...
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