ok now this is just wierd
c = 0.999…
10c = 9.999…
10c - c = 9.999… - 0.999…
9c = 9
c = 1
0.999… = 1
what do you think of that!?!?!
im so confused 
True for slightly small values of 1
.999999…etc. is 1 they are equal as long as the 9 is nonterminating
think about it this way, it the 9’s never stop (nonterminating) then to get one, you would have to add .00000000000000000000000000000000(etc)1…but since the 9’s never stop, the 0’s would have to never stop, therefore the 1 would never have a place to be at the end of the 0’s…they don’t end. so .99999999999999999999999999999999999999999(etc.) + .00000000000000000000000000000000000000(etc.) = 1
Brain cramp…
But it’s not true because 0.999999 ≠ 1
.99999 approximately = 1
(I can’t find the approximately = sign)
but if the 9’s continue for ever, then .99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999(etc…goes on forever) IS 1, if it never terminates, then it is infinitle close to one, and if it is infinitly close, then there is nothing that can be added to it to make it 1, so it is 1. Look at the original post in this thread untill you understand…Logically, .9999999999(etc.) is not one, but in real life, and for all mathematical purposes, it IS 1
EDIT: pardon my spelling errors…if you would please.
no, .9999999 (infinity) = exactly 1
because 1) of the reason at the top of the thread, and 2) because if with each digit it increases by a tiny amount for an infinite number of times (ie, the 9’s go on forever), then it will eventually sum to precisely 1.
this is not true for .9 or .999 or any other limited decimal
1+1=2… how is that?
Just playing… we did that in 6th grade, i still don’t get it though.
Exactly! You phrased it so much better than I!
I don’t think so. It approaches one and gets really close but is never actually one. Just like if an object is approacing a wall and each time it moves it goes for half the distance that they are apart then it will never hit the wall.
right?
haha. my math teacher writes something interesting or funny on the board at the beginning of class each day. and this was on the board on monday
I was being a little snarky in my comment there.
0.99999… is equal to 1
Things get similarly weird once you learn about limits.
Only in real life. If you’re doing math then 0.999999999… does not equal 1.
Sam, why would you not just edit out the spelling errors?
“infinity is a concept, not a number”
Math is representing real life. In math 0.99… (infinitely repeating) does equal 1. It’s just like limits which is a basic concept in calculus.
In the limit as the number of 9’s in 0.99… goes to infinity it is equal to 1. It’s not approximately equal to 1. It is equal to 1.
Yes yes calculus. It’s the crazy concept of the fact that a curve which as the function approaches zero (never touches) as it goes to infinity will have a finite volume, but in infinite surface area. We’ll never understand it. Human brians need foundation to operate. The concept of infinite provides no foundation. Just like, what’s at the end of the universe? Nothing, but what’s nothing? We won’t ever understand.
-Shaun Johanneson
Here’s another way of looking at it.
We know that 1/3 = 0.333… and that 0.333… = 1/3
c=0.333…
10c = 3.333…
10c - c = 3.333… - 0.333…
9c = 3
c = 3/9
c= 1/3
so 0.333… = 1/3
just like 0.999… = 1
Another way to think about this is that if there is a finite volume, then you could easily fill that volume up with paint. However, if you wanted to paint the surface of the inside of the container, it would require an infinite amount of paint.