1/3 = .333-[infinite]

[Brown_Pride]

so does almost 1 = 1 or not?

I hear what you're saying Type and you manned up for what happened so forget about the past...goign forward though

HOW? It's been 10+ years since calculus and unfortunately accounting doesn't lend itself to to much applicable calculus...or even algebra in most cases.

I can see how 1=1 but not how ALMOST 1 = 1.
Wouldn't ALMOST 1 ALMOST = 1 ?

I know all about rounding and 1=1 <> 1 ~ 1

Educate please

 

[tru_m.a.c]

The uneducated people are checking in and bragging about being uneducated.

The truth is that this concept being presented is thousands of years old, the geometric conceptualizing of this premises can date back to the 2500 years ago, and the proof and theory behind this is several hundred years old.

A bunch of smart dumb motherfukkers who think they are challenging mathematics and being "philosophical" and call me a "geek" for understanding something you learn in middle school.

A bunch of a$$holes who got their math PhD from listening to Foxy Brown's verse on Affirmative Action

ooooooooooooo shyt

this right here was classic

edit: that foxy brown shyt is the truth though lmao

 

[daze23]

so does almost 1 = 1 or not?

I hear what you're saying Type and you manned up for what happened so forget about the past...goign forward though

HOW? It's been 10+ years since calculus and unfortunately accounting doesn't lend itself to to much applicable calculus...or even algebra in most cases.

I can see how 1=1 but not how ALMOST 1 = 1.
Wouldn't ALMOST 1 ALMOST = 1 ?

I know all about rounding and 1=1 <> 1 ~ 1

Educate please

just go back to how the op explained it. if 1/3 is .3 repeating, 3 x 1/3 = 1, so 3 x .3 repeating = 1

it's all wrapped up with the concept of infinity and what that represents. an infinite string of 9's gets infinitely close to 1. it's not just about .9999.... = 1. it also means 3.5 = 3.49999... etc

 

[Brown_Pride]

just go back to how the op explained it. if 1/3 is .3 repeating, 3 x 1/3 = 1, so 3 x .3 repeating = 1

it's all wrapped up with the concept of infinity and what that represents. an infinite string of 9's gets infinitely close to 1. it's not just about .9999.... = 1. it also means 3.5 = 3.49999... etc

i hear what you're saying i do and I get where the 1/3 works out but in terms of decimals no matter how close you get you're always going to have an 8 hanging out there in the last digit.

AND
if infinity is what it is then no matter how far out you go once you stop you could have gone further making that seamingly small 8 infinitely LARGE in comparison.

So instead of .98 you can get .9999999998 or .99999999999999999999999998 but you'll never be at 1 right?
IN terms of fractions they are easier to visualize because they are EXACT representations of a third. they are not approximations which is what we use when we attempt to approximate math in decimals.

so 1/3 + 1/3 + 1/3 will always = 1.

Which still leaves me feeling like 3.5 is ALMOST the same as 3.499999.... but not exactly the same, close enough to say they are the same but not quite the same in the truest sense of the word...but i could be wrong

 

[Orbital-Fetus]

perhaps decimals are an inferior method for dealing with numbers compared to fractions and this dilemma is an example of it's shortcomings.

 

[OH SOHH TRILL]

I graduated with honors from a top 25 university. Graduated with a JD with honors from a top 10 law school. Am a card carrying member of mensa. And I don't know wtf you fools are talking about. Further I have never seen or performed the proof that was posted.


America

 

[EatingGoodNow]

So is it logical to say that all whole numbers or just approximations to make the math a little manageable?

Damn I used to be good at math, but after AP calculus in High School I said fukk it. Now I don't remember shyt.

 

[acri1]

i hear what you're saying i do and I get where the 1/3 works out but in terms of decimals no matter how close you get you're always going to have an 8 hanging out there in the last digit.

AND
if infinity is what it is then no matter how far out you go once you stop you could have gone further making that seamingly small 8 infinitely LARGE in comparison.

So instead of .98 you can get .9999999998 or .99999999999999999999999998 but you'll never be at 1 right?
IN terms of fractions they are easier to visualize because they are EXACT representations of a third. they are not approximations which is what we use when we attempt to approximate math in decimals.

so 1/3 + 1/3 + 1/3 will always = 1.

Which still leaves me feeling like 3.5 is ALMOST the same as 3.499999.... but not exactly the same, close enough to say they are the same but not quite the same in the truest sense of the word...but i could be wrong

Breh, it's not intuitive, but trust me - 0.9999...[infinite] and 1 are the same number. It's been mathematically proven lots of times, including in this thread.

But here's sort of a non-mathematical way to look at it. If two numbers are not the same, there must be a difference between them right? In other words, if you take the larger number and subtract the smaller number, the answer should be greater than 0 right?

If you do:

1 - 0.9999...[infinite] = ?

What would the answer be? If they're not the same number than this question must have an answer that's greater than 0. You could never come up with an answer like that because there's no mathematically meaningful difference between "infinitely close to 1" and 1. So they're the same number.

 

[Brown_Pride]

Breh, it's not intuitive, but trust me - 0.9999...[infinite] and 1 are the same number. It's been mathematically proven lots of times, including in this thread.

But here's sort of a non-mathematical way to look at it. If two numbers are not the same, there must be a difference between them right? In other words, if you take the larger number and subtract the smaller number, the answer should be greater than 0 right?

If you do:

1 - 0.9999...[infinite] = ?

What would the answer be? If they're not the same number than this question must have an answer that's greater than 0. You could never come up with an answer like that because there's no mathematically meaningful difference between "infinitely close to 1" and 1. So they're the same number.

yeah i hear you, still conceptually it's odd.
If I have apple and I try to remove orange from it they don't cancel out because they are not the same.
Apple Minus Apple = 0

I guess the difference is that with infinity it's still is apple - apple but maybe one is a gala and one a fuji...lol nvm 1 = .9999999.....

 

[Majestic Pape]

What difference does it really fukking make though?

 

[CrimsonTider]

What difference does it really fukking make though?

None at all.

I think it just illustrates the inherit limitation in fractions.

I'm not as smart as TUH so I'm pretty sure I'm wrong

 

[concise]

1/3 + 1/3 + 1/3


2/3 + 1/3


.666[infinite] + .333[infinite]

rounded

.667 + .333 = 1

 

[feelosofer]

Now this is some higher learning shyt, I feel smarter already.

 

[blackzeus]

I think what the one person is saying about an analog universe is correct. The issue is not .9999, the issue is 1. But 1 is a representation of .99999, which is the actual "limit" or number per se. 1 is a digital representation of the analog number .9999999. In digital processing theory, we learn to approximate analog waves using fourier transformations, my BELIEF (not fact), is that the same thing happens in number theory. I think 3.5 doesn't really exist, I think it's 3.4999999. Everything is relative. e.g. on your weigh scale that is accurate to 3 digits, you weigh 110 kg. then on another one accurate to a tenth of a decimal spot, you weigh 110.4 kg. On another scale that is accurate to a hundredth of a decimal spot, you weigh 110.45, AND to a thousandth, 110.453. Basically, most things in linear math, and rudimentary physics are approximations using limit theory, the number theory being a limit theory of sorts in itself, as "1" or "3" doesn't really exist in real life when using accurate measuring tools.

In regards to the proof

Agreed. anyone who has completed a year of algebra understands this concept

proof

x = .9999999......
10x = 9.99999999......
10x - x = 9.99999..... - .999999
9x = 9
x = 1

^^^good basic limit theory proof, albeit simplistic. As delta (the difference between bx and x approaches infinity (b being and integer or whole number), x approaches 1. Meaning that for OUR purposes .999999999999999999999999999999999999999999999999999999999999 = 1, there's no way you're going to be able to tell the difference at a macro level. If there's 1 million and 1 people in a room, but you say there's 1 million, is the naked eye going to be able to tell the difference? <<<this is a physical metaphor for limit theory. As the number gets larger and larger, the difference between the true analog number and the digital number becomes so minute that it is negligible. My question would be what happens when mankind would be able to use exact analog quantities instead of approximations? You'd get some incredible audio technology at a minimum, that's for sure.

 

[daze23]

i hear what you're saying i do and I get where the 1/3 works out but in terms of decimals no matter how close you get you're always going to have an 8 hanging out there in the last digit.

AND
if infinity is what it is then no matter how far out you go once you stop you could have gone further making that seamingly small 8 infinitely LARGE in comparison.

So instead of .98 you can get .9999999998 or .99999999999999999999999998 but you'll never be at 1 right?
IN terms of fractions they are easier to visualize because they are EXACT representations of a third. they are not approximations which is what we use when we attempt to approximate math in decimals.

so 1/3 + 1/3 + 1/3 will always = 1.

Which still leaves me feeling like 3.5 is ALMOST the same as 3.499999.... but not exactly the same, close enough to say they are the same but not quite the same in the truest sense of the word...but i could be wrong

where does the 8 come from?

it's infinite, so there is no 'last digit'. but if you were to arbitrarily pick one, the last 9 would be rounded up, and then all the 9's would fall like dominoes