.9999999999999999999999999999 = 1

[3.14]

1 - .99999etc = .000000etc1

But there are an infinite number of those 0's, which means that you never really reach the one, which means that it never really happens, which means that the distance between 0 and .99999etc is 1.

OR

x = .9999etc, so 10x = 9.9999etc
10x - x = 9x -> x = 1

However,

I admit the second proof is a bit dubious, so here's another.

.999~ = (1/10) + (1/100) + (1/1000)+ ... etc.
so you have a geometric sequence.
Plug it into the formula a1/(1-r) where a1 is the first term of the sequence and r is the ratio.
(9/10)/(1-[1/10]) = .9/.9 = 1.

He it goes again, more detailed. If you don't get this, then go away. ~ is my way of saying infinity/the bar thing.

x = .9~
10x = 9.9~
10x - x = 9x
No, substitue with what we said in the first two lines.
9.9~ - .9~ =9
So thus 9x must equal 9.
9x = 9
Solve for x
x = 1
However, I already said that x = .9~. How can it be .9~ and 1 unless they are equivalent?

Without even assigning a value to x, 10x - x = 9x.
But 9.9~ - .9 = 9
So in that case, 9x must equal 9, and hence x must equal 1.

I was not actually substituting x for .9~ but illustrating how you can come to the conclusion that 9x must equal 9.

[dpizz450]

and your point of joining and posting that wasss....? :rolleyes:

[nosliw]

racecar spelled backwards is racecar

[Stevie-D]

you have wayyyy too much time on yer hands buddy:p

ok this is a quad site not math class

[chucked]

do you know what the square root of -4 is????

[roughrider01]

Ill be sure to contact you the next time i do an online math test.

[Bush0102]

Originally posted by chucked
do you know what the square root of -4 is????

2i

or, if you dont use imaginary numbers, there is no solution.


but anyway, i dont see this guy being around too much longer.

[3.14]

If a snake began to eat himself starting at the tail would he/she ever finish?


Originally posted by Stevie-D
you have wayyyy too much time on yer hands buddy:p

Why? It's not that difficult.


Originally posted by exracer0
ok this is a quad site not math class

Then don't read the topic.

[Bush0102]

Originally posted by 3.14
If a snake began to eat himself starting at the tail would he/she ever finish?



Why? It's not that difficult.



Then don't read the topic.


1. the snake wouldnt be able to finish.
2. i already dislike you thoroughly.

[chucked]

Originally posted by Bush0102
2i

or, if you dont use imaginary numbers, there is no solution.


but anyway, i dont see this guy being around too much longer.

wow, thats pretty good, didnt think anyone got that far in math on here??

[Bump H3lmets.]

Originally posted by chucked
do you know what the square root of -4 is????

I do.

-(2).


I jus wunna say taht u tink im stupid but im aint.

[3.14]

Originally posted by Bush0102

2. i already dislike you thoroughly.

Why's that?

[Bush0102]

Originally posted by Bump H3lmets.
I do.

-(2).


I jus wunna say taht u tink im stupid but im aint.

nope... -2 squared is 4. -4 has no root without using imaginary numbers

[hondardr4life]

Dislike is a nice word for what I think of you.

[3.14]

Inferior is a nice word for what I know of you.