A question of numbers (one for the maths fans)

You can't subtract a recurring .9 because if you went to write it out, you would never reach the end. So you would never finish writing the equation, can't be done logically.

Ok, and apologies for not having the requisite mathematical symbols to do this more cleanly0.99r is a representation for sum(9/10ⁿ) for all n in Z⁺.9.99r is the same sum but for n in Z⁺₀It is quite clear then that the only element in the sequence left after the subtraction is the one which corresponds to the n which is in Z⁺₀ but not Z⁺, namely n=0, 9/10⁰ = 9/1 = 9

opsss my bad ok i ment0.999999999..... - 1 = 0.00000000000000000000000000000..~1ok soon your working on following.99999999999..... X 2.00000000000........ = what ?what is .9999999999999999......... X .9999999999999999999999........ ?what is the square root of .9999999.......99999 + .0001001001002 = ???1/.999999.. = ??and good old .99999999999.. + .10000000000000.. = ??

There is nothing "all" about infinity.I do not agree with this:
Fraction proofThe standard method used to convert the fraction 13 to decimal form is long division, and the well-known result is 0.3333 . , with the digit 3 repeating. Multiplication of 3 times 3 produces 9 in each digit, so 3 0.3333 . equals 0.9999 . ; but 3 13 equals 1, so it must be the case that 0.9999 . = 1.I also do not neccesarly think infinity actually can exist either. It's only a thought, not a number.How can you subtract 0.9999... from 9.9999 digit by digit if the digits have no end? You will never solve the equation. The numbers have no end, therefor the equation has no end.There is no acurate way to express 1/3 of 10 in decimals in a number system based on 10.So if .9999...=1 then infinity does not exist. This only happens if the number is actually representing something.Is it impossible for a number to not represent something?

yes but 1 is really 1.0000000.................. so you can do many maths as all numbers are a infinty.abstract realities got to luv them .....now what the real question is is what colour and flavour is .99999999.... compared to 1.000000000000000000...............

I'm no mathematician but I don't agree. Try flipping the subtraction around...9.999.. - 9 = 0.999...Now 9.999.. may be infinitely long, but we CAN know that the result will be exactly 9 less.If we go back to the original9.999.. -0.999... = 9We CAN see that the number will be 0.999.. less. What's the problem?Edited by RickJB, : No reason given.

Sorry, that math is beyond me.It's not like I don't get why .9999...= 1, I do. I just don't agree with the math.I can prove that 0.9999... = 1 also1/3 of a circle with the circumference of 1 yard = 0.333333....1 yard = 0.914400 meters1/3 of 0.914400 = 0.30480.3048 meters = 0.33333....yards.So 0.3333... is a whole number.Now do it in reverse, and you will find that 0.99999=1The real problem lies in that we do not have an accurate way of expressing 1/3 in decimals.If 0.9999... is representing something in the universe, and our universe is infinate, then the number can go on, and on without ever being 1. If the universe is finate, then 0.9999... will eventually come to an end, then infinity only exists in our subjective minds.
That means that 0.9999.... = God.Edited by riVeRraT, : clarity, if there is such a thing

The problem is that you are using a finite symbol to represent infinity.Try writing it out.If you did, you'd find that 0.9999... does in fact equal 1, 1 dead person. You'd also find out the infinity does not exist for us in the physical sense.

Can you prove that 0.9999... even exists?Edited by riVeRraT, : No reason given.

What is 6 - πCan it be done?

no numbers exsist .. they are a notational agreement between people ..thus you can have x+y=n at the same time as having 1+2=3go read 1984 then look in doing sums ..btw the colour blue does not exsist its just a label for a wavelenght of light

So what?For any given number x it's possible to argue that:y = 5-xeven if 0.999... is the given number x!Edited by RickJB, : No reason given.Edited by RickJB, : No reason given.

Not sure, you are trying to solve for n?

Yes blue exists. We have had this discussion before.Blue is not just a wavelength of light. It is how our brains interpret that wave length when viewed through our eyes. Which is a separate thing from the actual wave length of blue light.

But that's what I am saying, 0.9999... is not a number.