mathematical mind fuck

Well mighty, I understand where your ideas come from but that's not the case. What I was saying is that the reason people are having a hard time grasping that .999... = 1 is because of a lack of understanding of what continuing forever really means.

As far as the multiplication, perhaps this will clear things up...

As I said in my original post .999... is just a summation sequence. So you certainly could multiply that by 10. What would happen? Check, check it out...

.999... = (9/10 + 9/100 + 9/1000 + ...)

10 * .999 = 10 (9/10 + 9/100 + 9/1000 + ...) = (10 * 9) /10 + (10*9)/100 + (10*9)/1000 + ...) = 9 + (9/10 + 9/100 + 9/1000 ....) = 9.999....

See, since the summation continues on forver, everything just falls back into place when we extract the (10* 9)/10

So 10x = 9.999... problem free. Which is the same as moving the decimal place over to the right. Does that make sense for you?

 

My two cents,

.999.... does equal 1. Why? Because the 9's continue f-o-r-e-v-e-r. The numbers get smaller and smaller but the fact that they stretch through infinity which loops back on it self the 9 in the tenths place will loop back around and connect back with it self creating a solid stream of 9's which make it 1 entity in it self thus infinite 9's equal one entity or just the number 1.


Just a hypothesis feel free to prove me wrong.

 

There is a proof out there that says 9.999 repeating is equal to 1. The origonal poster doesn't knwo it but it's possible. This was in my calculus class and I forgot how to do it shortly after the test.

 

I posted three proofs on the fourth page.

 

im failing math in school and thats pretty much the only subject im failing and it sucks!
everything else im passing.