.99999999 = 1?

.999999... = 1

Not kinda, not almost, not basically, not practically. It is exactly the same. Its two ways of writing the same number.

1 - .999999... = 0
 
.999999... = 1

Not kinda, not almost, not basically, not practically. It is exactly the same. Its two ways of writing the same number.

1 - .999999... = 0

False.

1 - .999999 = .000001

But, instead of being a smartass, you're still wrong.

1 - .999(repeating) = .000(∞)1

.9 does not equal 1.

.99 does not equal 1.

.999 does not equal 1.

You can put an infinite 9's to the end of it, and it still doesn't equal 1.
 
my common sense doesnt tell me there is an end to 9. It tells me it is infinite and it goes on forever. But it also tell me that it never ever at any point reaches 1 thus it does not = 1

Again, that's where your common sense is leading you wrong. Like I said, anyone who doesn't understand this is having a fundamental problem with the concept of infinity.

No scratch against you personally, but not all math is intuitive.
 
It's misconception # 2 in the video:



His rationalization is fairly simple.

We know that .33333333 = 1/3
We know that 1/3 + 1/3 + 1/3 = 1
Hense .999999999 = 1

I never really put this into perspective but it becomes increasingly complex the more I think about it. If we look at 1 as a distance, such as an inch, is .99999999 actually a real number? You could magnify the inch infinite times to see how close .99999999 is to it. It should always be close but never quite reach right? So no, it's not equal to 1. On the other hand, I never noticed the way his equation worked before. How can the math with the fraction work, when the math with the decimals produces a different answer? Is it possible that we've made a fundamental flaw in how we understand math?

I appologize for not knowing how to scribe a vinculum on an iPad. (We are discussing repeating decimals, no need to clarify it in your posts.)


In school they don't teach you it's equal - but ABOUT EQUAL - big difference.
And this also depends on the level of granularity you're working with.
For the guys at a particle accelerator 6-10 digits are sure as fuck not equal so don't call it a misconception when it isn't one.
 
This whole thread is based on a mistake by Yompton when he watched the video.


The guy IN THE VIDEO says 1>.999(repeating/barred) is the misconception, and that the correct answer actually IS 1=.999(repeating/barred){<---he's saying this is correct]


You saw his answer and thought it was the misconception (the two look very similar)



Sorry Yomp. You're a cool dude, though, and I forgive you like Jesus asked me to
 

Wow. I never thought of it that way. You've changed my world view.

Translation: You're wrong.

Even if you graphed .999(repeating), it would never reach 1. EVER. You could have the calculation running for a million years, and .999 would never reach 1.
 
Hmmm, interesting.
It's weird, you could take 1/3 of an inch and measure an exact distance, but in theory it's impossible to do in decimal form, even though its an exact measurement. However a fraction for 1 is written 1/1, 2/2, ect....but you will never get .9999999 doing the actual division. You do for 1/3.

Well 1/3 is actually different from .3333 but like in my past post, we just relate it to 1/3. Any continuing decimal isn't a real number. Fractions like 1/3 however are.
 
Wow. I never thought of it that way. You've changed my world view.

Translation: You're wrong.

Even if you graphed .999(repeating), it would never reach 1. EVER. You could have the calculation running for a million years, and .999 would never reach 1.

What if the calculation was running for 999,999 years?
 
What if the calculation was running for 999,999 years?

NEVER.

Seriously. Never.

I mean, I lol'd at the joke, but never. The line would constantly approach 1 but never get there.
 
Well 1/3 is actually different from .3333 but like in my past post, we just relate it to 1/3. Any continuing decimal isn't a real number. Fractions like 1/3 however are.

Yet the math supports 1/3 and .33333, so it's different fundamentally from .999999 and 1/1
 
ITT dumbfucks who don't understand maths. It has the same value as 1 in any mathematical scenario, therefore mathematically it is 1.

Repeating decimals only existing because base 10 system is a shitty way to calculate certain divisions.
 
NEVER.

Seriously. Never.

I mean, I lol'd at the joke, but never. The line would constantly approach 1 but never get there.

Oo, oo, I have an idea! Let's make a 'everything can be divided in half' thread! We can split the credit man!
 
I'm sorry but this is the dumbest thread I have seen in a long time.

1/3 is not .333333333333333
2/3 is not .666666666666666
1 is not .999999999999999
 
I'm sorry but this is the dumbest thread I have seen in a long time.

1/3 is not .333333333333333
2/3 is not .666666666666666
1 is not .999999999999999

It's not .333 or .666 to some arbitrary length, it's infinite progression.

l2mathematics kthx
 
Would love to contribute but you have all made me feel dumber. Congrats on this accomplishment.
 
It's not .333 or .666 to some arbitrary length, it's infinite progression.

l2mathematics kthx

Infinity is an arbitrary length.

How about them apples?
 
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