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abdul_shabeer
Group Title
100000000000................ continues infinitely. Is it a number?
 one year ago
 one year ago
abdul_shabeer Group Title
100000000000................ continues infinitely. Is it a number?
 one year ago
 one year ago

This Question is Closed

KaylaBrewington Group TitleBest ResponseYou've already chosen the best response.0
yes because the number line never stops
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
dw:1349359330358:dw Is infinity a number?
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
not a natural number and not real number either.
 one year ago

chandhuru Group TitleBest ResponseYou've already chosen the best response.1
infinity is something which cant be defined...
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
no .. irrational number is a real number.
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
Is it a number?
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
IS infinity a number?
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
it'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.
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
If 100000000000000... is not a natural number then the set of natural number is finite. right?
 one year ago

chandhuru Group TitleBest ResponseYou've already chosen the best response.1
@experimentX how do u say that it is not a real number??
 one year ago

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

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

experimentX Group TitleBest ResponseYou've already chosen the best response.2
you always write dw:1349359774760:dw
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
you should have noted.
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
then why 1/3 is considered a number?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
0.3333.... 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.
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
hm... I phrased that poorly :/
 one year ago

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

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
indeed what would 10000.....+1 be? could you write it? where would you put the 1 ?
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
Why 0.333333333333333333....... is a number?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
that is different from 0.3333....+1=1.3333... not problem there
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
1/3 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.
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
you 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 ;)
 one year ago

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

chandhuru Group TitleBest 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 .......
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
We can't locate 0.333333.......
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
yes we can
 one year ago

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

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
dw:1349360426152:dw
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
now you show me what two numbers 1000..... lies between :)
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
What is (0.333333......)* 10?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
3.333333...
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
0.333..... * 10 = 0.333...+0.3333....+0.3333....( 10 times) Can we add this?
 one year ago

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

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
I want to add it without converting it into 1/3
 one year ago

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

Razzputin Group TitleBest ResponseYou've already chosen the best response.0
100000000000......... lies between 99999999999...... and 11000000000000...... where all three of the numbers stretch out infinitly.
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
0.333...+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...
 one year ago

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

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
How 0.999...+0.333...=1.222...?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
are there more digits in one number or the other? no
 one year ago

Razzputin Group TitleBest ResponseYou've already chosen the best response.0
what if you where to state that 999.... was 1 less than infinite?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
ad a 3 to each 9
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
oh my bad, .999.+.333...=1.333....
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
the 1's carry over
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
dw:1349364346874:dw
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
and the last digit would be 2
 one year ago

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

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
there is no last digit, that's why it's an infinitely repeating decimal
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
There is no last digit, I just took a small value
 one year ago

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

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
\[0.333\neq0.333...=1/3\]
 one year ago

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

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

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
math 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
 one year ago

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

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
But still you just can't neglect a 2
 one year ago

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

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
Which means it is not equal to 1+ 0.3333....
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
it 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
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
how do you figure that 0.999...+0.333... is not the same as 1+0.333... ?
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
When we add, we add the numbers from Right hand side
 one year ago

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

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

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
How do you add two numbers?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
either 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
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
I 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
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
0.9999.... = 1, I want to disprove this
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
you can't disprove something that is true
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
Can you prove it?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
again, what is 10.999... ?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
prove it? yes would you like me to?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
\[x=0.\overline9\]\[10x=9.\overline9\]\[10xx=9x=9\]\[x=1\]
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
0.999...*10 = 0.999...+0.999...+0.999...(10 times) How do you add this?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
again, 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...
 one year ago

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

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
oh I did it with 0.333... but the idea is the same
 one year ago

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

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
what is the last digit of pi?
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
It is an irrational number
 one year ago

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

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
How would you add 8467539+10384?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
normally, 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*???
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
how can you start at the far right when there is no far right? you can't
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
But you say that 0.3333..... is a rational number
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
yes and I can prove it what is your point?
 one year ago

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

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
by 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
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
Why it is same as 1*10?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
because 0.999...=1
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
What is the standard way of adding two numbers?
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
Not the grade school adding methods
 one year ago

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

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

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
What is the standard way of adding two numbers?
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
think of addition as addition of distance.
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
How would you add 8912394+1398124?
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
draw a real line .. dw:1349367528137:dw
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
dw:1349367566686:dw
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
How would you add 0.999.... and 0.333...?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
I 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
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
you 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.
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
This problem started in the proof of 0.999... = 1
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
yeah ... 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
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
to 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
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
Multiplication by 10 is nothing but adding it 10 times
 one year ago

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

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
or 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
 one year ago

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

experimentX Group TitleBest ResponseYou've already chosen the best response.2
1.00000000000.. infinite zeros.....................1 this means 1.00000000000.. here are more zeros than you imagine ....................1
 one year ago

TuringTest Group TitleBest 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
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
You mean something which is at infinity is not there.
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
don'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
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
yep. 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.
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
Do 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?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
the 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
 one year ago

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

estudier Group TitleBest ResponseYou've already chosen the best response.0
If it isn't 1 * 10^n, what is it?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
with the right equipment, theoretically yes
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
With no equipments
 one year ago

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

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

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

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
there 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?
 one year ago

abdul_shabeer Group TitleBest ResponseYou've already chosen the best response.0
Okay Thank You Max and ExperimentX
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.4
very welcome!
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
no probs at all ...
 one year ago
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