--------------------------
1/3 x 3 = 1
--------------------------
1/3 = 0.333...
0.333.. x 3 = 0.9999999
--------------------------
0.333... x 3 = 1/3 x 3
0.99999... = 1
--------------------------
--------------------------
1/3 x 3 = 1
--------------------------
1/3 = 0.333...
0.333.. x 3 = 0.9999999
--------------------------
0.333... x 3 = 1/3 x 3
0.99999... = 1
--------------------------
Oh god, not this shit again.
This one guy in my calc class is hellbent on proving this. I swear, I'm going to beat his ass soon.
He's right though.
What thi- oh, it's math.
0.333..... is the decimal representation of the fraction (1/3).
It's the same thing.
what
It's more the fact of how he goes about doing it - loudly and making a big fuss which pisses everyone off.
I'm on Spring Break. Math is not real right now.
lol. -0.
Perhaps if your class doesn't actually understand then they deserve to be annoyed
How about this .99 repeating is .99 repeating if you want it to be, and if you want to round up, its 1, simple enough?
Hell for all I care, .99 repeating can equal potato if you want it to.
On a side note, I like math, its too bad my teachers are trash and they only ruin my desire to do math, its so terrible. I wish I was better at math...but...I'm too bad of a student...oh well.
Math outside of school, in the weekend, no.
I know some of you are math heads and actually do this for fun, but jesus christ, it only makes massive shitstorms.
hellbent on proving this? It's already proven.
Mathematically 0.999... is equal to 1.
You could always argue that it's a case of it being infinitely close to 1 to the point were the difference is completely negligible, but unless you somehow manage to prove it, you're wrong.
There is also the fact that it is equal to 1 according to mathematics at the moment and who the fuck knows how they might evolve in the future, but again you'll be the one needing to provide proof.
Isn't this common knowledge though? I thought everybody knew this.
If you don't understand for some reason, here is a simple version of it:
.3... = 1/3
.6... = 2/3
.9... = 3/3 and 3/3 is the same as 1.
I always thought it was obvious
if the nines went on forever it might as well be the next number
The good thing about maths is that when you see a proof, it's a fact.
But it is true.
Might as well be the next number is different to equaling to each number.
i.e.
0.999... = 1
where as 0.9999999999999999999999999 ≈ 1
So. Can anyone explain to me the articles on surreal, superreal, hyperreal, and transfinite numbers?
this is some seriously stupid shit
OH GOD THAT LISP!!!!
I'm confused why people are rating the OP dumb.
Do they not like ViHart? Or do they not understand the concept and think its wrong? Or do they just think the concept is overdone and they realize that its true?
I thought it was pretty cool even though I am familiar with twin representations.
Explain please.
I fucking hate this equation bullshit:
x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999... (or 10x - 0.999... = 9.999 - 0.999)
9x = 9
x = 1
You have to be retarded to believe that. Seriously? Do you see the flaw?
One of the biggest flaws: x = 0.999... ! SO WHY ARE YOU SOLVING FOR x?!
Ok, lets forget that big flaw.. If x = 0.999 step 3 would look like (9.999... = 9.999...) ; when we subtract x (0.999) it will be 9 = 9! GENIUS!
The other two are true.. Specially the blue one.
I'm sorry, how is this a flaw?
He declared an equation, then all he did was perform completely legal mathematical operations on it.
I don't see how .99 repeating can possibly even exist anyways if it repeats 'infinity', thus it would instantly equals one
I don't see any point in trying to prove it doesn't either, .99... doesn't exist and can't unless it actually ends
Unless I'm somehow missing something?
her voice
that slight "crunching" of the s's and the sh's and the ch's
ughhhh
Edited:
pretty neat video though i like the drawings
Ugh, so you're saying .333... Doesn't exist?
-snip-
Well, that is the point. They're just different representations, 'twin representations', of the same number.
If I write the value 2.4999 (9 repeating), that is a valid and existent numerical representation. It represents the same value that 2.5 represents.
There are people who don't understand that. Some people think that 0.999... is somehow a separate, unique number that is infinitely close to 1, but not 1.
But there are numbers that are infinitely long (pi for example!) and there are even crazier numbers that we still use for real life applications. Vi briefly talks about these at the end: http://en.wikipedia.org/wiki/Split-octonion
I must be missing something
I meant .999 would instantly equate to 1 due to rounding, .333... is different I guess
I don't even like/am good at math so what am I doing here trying to make a point
I just go with rounding to the nearest number, .33... as an actual fraction makes sense to me (1/3) and .99... wouldn't make sense to me
think of it like this
3(1/3) = 1 = .333... + .333... + .333... = .999... = 1
Edited:
it's not rounding, it's being
it's the same reason that 5 + 5 = 10. they are the same thing mathematically.
you're basically saying "why have the number 2 when we can just write it as the cube root of eight?"
0.3 repeating isn't 1/3. It's a decimal APPROXIMATION of 1/3 which means it isn't the exact value (of 1/3). 0.3333 to the infinity * 3 is not the same as 1/3 * 3. One is a multiplication using absolute values while the other is an approximation. They're two different numbers.
Either that or I'm just too stupid enough to understand why 0.9 repeating is the same as 1.
They're different numbers, it's just that one is only possible (to measure, at least) in theory.
0.999... = 1 is true in the same way that 0.000... = 0.
It just doesn't look that way because your brain goes:
.9 =/= 1
.99 =/= 1
.999 =/= 1
.9999 =/= 1
So it would intuitively follow that no matter how many nines you put, it will never equal 1. The problem is that when you put an infinite number of nines, it equals 1.