[Math] Prove 0.999...=1 (Amaze your friends!)

[P1raten]

it is true 0.999.. does equal one

proof
x = 0.999
10x = 9.999
10x - x = 9.999... -0.999...
9x = 9
x = 1
0.999.. = 1

i lol'd.....

[ElDupa]

0.999... - Wikipedia, the free encyclopedia... :wave:

[LeythG]

hahaha hilarious thread

[Mr. Clean]

Something is actually wrong in this thing. Can you solve what?
[/COLOR] a=b |* a
a^2=ab |-b^2
a^2-b^2=ab-b^2
(a+b)(a-b)=b(a-b) |: (a-b)
a+b=b
1+1=1
1=2
[/COLOR]

So when your saying

a+b=b
1+1=1

It is safe logic to assume that both A and B are 1.
So if we were to brake it down:

a=b |* a || 1=1 Check

a^2=ab |-b^2 || 1^2=1(1) Check

a^2-b^2=ab-b^2 || (1^2)-(1^2)=1(1)-1^2 Check

(a+b)(a-b)=b(a-b) |: (a-b) || (1)(0)= 1(0) Check

a+b=b || 1+1=1 False
1+1=1 || False


Well i just ran the logic, and I must be missing something obviously, if you care to explain I would love to learn.

[Demonshade]

BONUS

1+1=1


Something is actually wrong in this thing. Can you solve what?
a=b |* a
a^2=ab |-b^2
a^2-b^2=ab-b^2
(a+b)(a-b)=b(a-b) |: (a-b)
a+b=b
1+1=1
1=2

EASY!

a= 1
b=1
therefore
(a+b)(a-b)=b(a-b) |: (a-b)

is the same thing as

2(0)/0=1(0)/0
U JUST DIVIDED BY 0! u just made a black hole
But even if u dont divide by 0, the expression is still 0 = 0 not 2 = 1

[Xel]

You're correct Demonshade xD

[Eluo]

REASON 1:
1/3=0.333.... |*3

=> 3/3=0.999...
=> 1=0.999...

There is no fault.

REASON 2:

X=0.999... |*10

=> 10x=9.999... |-X
=> 9x=9 |:9
=> x=1
=> 0.999...=1

This reason is simply WRONG
if you add/substrac sth. to/from your term you have to do this on both sides not just on one.
so
=> 10x=9.999... |-X
=> 9x=9 |:9
is wrong

it should be
=> 10x=9.999... |-X
=> 9x=9-x |:9

Same as:

10X=9.999...
-X=0.999...
_____________
= 9X = 9 |:9

=> X=1
=> 1=0.999...

See above

REASON 3:

In math, between 2 numbers there will always be a one number
for example:

between 1 and 2 there is number 1
(1 + 1 = 2 )
between 1.5 and 1.6 there is number 0.1
(1.5 + 0.1 = 1.6)
between 1.555... and 1.666... there is number 0,111...
(1.555... + 0,111... = 1.666...)

But whats between 0.999... and 1 then?
NOTHING.

Thats why:
1-0.999... = 0
and

this is right... somehow
Because this number is endless.

Atm it is a fact that 1=0.9999... and that 0.999...=0.999...

so we cant

Prove me wrong!

BONUS

1+1=1

Something is actually wrong in this thing. Can you solve what?

a=b |* a
a^2=ab |-b^2
a^2-b^2=ab-b^2
(a+b)(a-b)=b(a-b) |: (a-b)
a+b=b
1+1=1
1=2

The problem here is it is just not mathematic.

Let me change your variables:
x=y |* x
x^2=xy |-y^2
x^2-y^2=xy-y^2
(x+b)(x-y)=b(x-y) |: (x-y)
x+y=y
1+1=1
1=2
should be the same as
x=x
x²=x*x |-x²
x²-x²=x*x-x²
(x+x)(x-x)=x(x-x) |x-x)
x+x=x

Can you see the fault?

x²=x*x |-x² (=0)
x²-x²=x*x-x² (=0)
so
(x+x)(x-x)=x(x-x) |x-x)
is wrong if x isnt zero.

[Demonshade]

There is no fault.
[/I][/COLOR]
This reason is simply WRONG
if you add/substrac sth. to/from your term you have to do this on both sides not just on one.
so
[/COLOR]=> 10x=9.999... |-X
=> 9x=9 |:9
is wrong

it should be
=> 10x=9.999... |-X
=> 9x=9-x |:9

He did substract x from both sides....
10x-x = 9x
9.999999... - x(0.9999...) = 9

Therefor

9x=9

[idusy]

I seriously thought this was common knowledge...

The amount of ignorance in this thread astounds and amuses me.

[superizm]

0.999... = 1 is not a solution
therefore the answer is no solution

honestly how the heck did you think that 0.999... = 1?
thats like solving for a variable, canceling the variable and ur left with 2 weird numbers like 25 = 23

OMG GUYS I FOUND OUT THAT 25 = 23

[idusy]

0.999... = 1 is not a solution
therefore the answer is no solution

honestly how the heck did you think that 0.999... = 1?
thats like solving for a variable, canceling the variable and ur left with 2 weird numbers like 25 = 23

OMG GUYS I FOUND OUT THAT 25 = 23

What?

No.

0.999... with repeating 9's is the same as 1

It's a fact, you cannot disprove it.

[mchugh]

lol what the...

[Cancerpuffs]

Yeah we had to prove 1=0.99999 in 9th grade (which it does), so great job on the 9th grade work guys (ummm for people who got it wrong, good work trying I suppose).

[Cypher]

The OP is correct. 0.9999... (repeating) is actually 1 (assuming you're working under the standard 'real number' system). It can be proved in various ways but just ask your math teacher and he'll confirm it for you if you don't believe anyone here (and I don't blame you).

Yawn. I hate these stupid ****ing threads full of idiots arguing against something that is proven fact simply because they don't understand the content.

[mgX]

It is assumed to be one, and is widely accepted by many wise guys. There is no proving or disproving this, its a matter of oppinion as i see it. Now let this c+p thread die please.