Poll: Does 0.999.. equal 1 ?
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This shouldn't be a poll. Maths has already proven that .999 recurring is indeed 1. No other opinions needed.
Predicated upon a false assumption. Any number divided by itself = 1, including 9/9, which most definitely does not = .999.Gekkeiju said:Essentially, yes.
1/9 = 0.111..
2/9 = 0.222..
etc
so 9/9 = 0.999..
but 9/9's is a whole, so it is also 1.
Yeah my maths teacher told us this once
A is always A. If someone is subverting the law of identity (that'd be Aristotle, not math), they are lying to you. Nothing in depth about it.
Your mathematical skill is matched by your grammar.Volkov said:
I especially enjoy "Only one side is correct" in an equation-based argument.
0.(9) is irrational because it only exists in reference to decimalising a fraction. That means that it is equivalent to 1, because there is no way to represent the numbers tolerance.
Commonly, it's known as "rounding" or "truncating". That's taught in GCSEs.
0.5(ru) is equivalent to 1, 0.5(rd) is equivalent to 0. Neither are equal. You can argue as much as you wish about it, but you'll be arguing about semantics.
seriously, there are proofs pouring out everywhere on every level of math, .999 = 1
please, just accept it, due to base 10 laws of math it must be true.
please, just accept it, due to base 10 laws of math it must be true.
It depends on the confidence you have in your measurement of 0.999.
If you confidence that the value is 0.999 is great enough the number will be 0.999. However if your confidence in the measurement is say 95% there will be a range of acceptable values making it possible for 0.999 to effectively equal 1.
http://en.wikipedia.org/wiki/Confidence_interval
Edit: The OP did not use proper notation writing down that 0.999 was in fact 0.999 repeating.
This changes things.
The lower primate in us still resists, saying: .999~ doesn't really represent a number, then, but a process. To find a number we have to halt the process, at which point the .999~ = 1 thing falls apart. Nonsense.
If you confidence that the value is 0.999 is great enough the number will be 0.999. However if your confidence in the measurement is say 95% there will be a range of acceptable values making it possible for 0.999 to effectively equal 1.
http://en.wikipedia.org/wiki/Confidence_interval
Edit: The OP did not use proper notation writing down that 0.999 was in fact 0.999 repeating.
This changes things.
The lower primate in us still resists, saying: .999~ doesn't really represent a number, then, but a process. To find a number we have to halt the process, at which point the .999~ = 1 thing falls apart. Nonsense.
Wow gj to your math teacher for teaching you false maths. xDfunguy2121 said:Predicated upon a false assumption. Any number divided by itself = 1, including 9/9, which most definitely does not = .999.Gekkeiju said:Essentially, yes.
1/9 = 0.111..
2/9 = 0.222..
etc
so 9/9 = 0.999..
but 9/9's is a whole, so it is also 1.
Yeah my maths teacher told us this once
A is always A. If someone is subverting the law of identity (that'd be Aristotle, not math), they are lying to you. Nothing in depth about it.
University student here, studying maths. 0.(9) is exactly equal to one. Look at this way: If you were to take 2 distinct numbers, you could also find a number in between them. Take 0.(9) and 1. Is there a number between them? No. Therefore, they are equal.
