DaijoCube
Veteran
pi never ends, so it doesn't have a last digit.
My fun facts in my agenda book say that it has been "accurately calculated to 1,241,000,000 decimal places".
'Cause we don't know what's next
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pi never ends, so it doesn't have a last digit.
My fun facts in my agenda book say that it has been "accurately calculated to 1,241,000,000 decimal places".
and they say you have to be good at math to solve a rubik's cube....
I consider myself good at math, I was just thinking radically.
Well we can't, but it is possible to know what will be the sequence of the last solve...
Ah, I think I understand it now. But I don't understand "I lied, it's 10."
The last digit of Pi is 10. It's a proven fact.
Did that link clear it up a little bit?
Ah, I think I understand it now. But I don't understand "I lied, it's 10."
The last digit of Pi is 10. It's a proven fact.
Did that link clear it up a little bit?
I thought it did, but now you confused me. Was my theory proved or disproved?
I thought it did, but now you confused me. Was my theory proved or disproved?
10 =/= 0, so I just disproved it.
So you understand what I (and many others) are saying?
Well we can't, but it is possible to know what will be the sequence of the last solve...
Uh, logic fail?
How in the world is it possible to know the sequence of the last solve? There are literally an infinite number of solutions to any given scramble of a rubik's cube, and you don't even know WHEN the last solve will be!
the last digits of 1/3, 1/7, 1/13 are 0 with your theory
the last digits of 1/3, 1/7, 1/13 are 0 with your theory
the last digits of 1/3, 1/7, 1/13 are 0 with your theory
My theory, or Cola's? I think you're talking about his, but I'm not sure...
It does not matter whether the number you consider is rational or irrational. What matters is that the decimal expansion is infinite. Both pi and 1/3 can be written as infinite series:
1/3 = 3/10 + 3/100 + 3/1000 + ...
pi = 3 + 1/10 + 4/100 + 1/1000 + ...
The point of the answer was that if you "add a zero to the end," you are necessarily terminating the series. An infinite series HAS NO LAST TERM. Giving it a last term means terminating the series, making it finite.
Doing this to pi has an even greater effect than doing it to 1/3, because not only does it make an infinite series finite, it also makes an irrational number rational. Every finite series of digits is the expansion of a rational number. Since you agree that pi is irrational, it can have no last term, zero or not.
the last digits of 1/3, 1/7, 1/13 are 0 with your theory
My theory, or Cola's? I think you're talking about his, but I'm not sure...
his![]()
Yeah with yours they would be 10. I get it now. But 10 isn't a digit.
If you can "prove" it's 0, I can prove it's 10.
as PI is defined as an irrational number, it does not have an ending digit, which means you can't add a zero to its *end*.
Yeah with yours they would be 10. I get it now. But 10 isn't a digit.
If you can "prove" it's 0, I can prove it's 10.
as PI is defined as an irrational number, it does not have an ending digit, which means you can't add a zero to its *end*.
But 1/3, 1/7, 1/17, & all the other numbers you were comparing it to were rational.
It does not matter whether the number you consider is rational or irrational. What matters is that the decimal expansion is infinite. Both pi and 1/3 can be written as infinite series:
1/3 = 3/10 + 3/100 + 3/1000 + ...
pi = 3 + 1/10 + 4/100 + 1/1000 + ...
Well we can't, but it is possible to know what will be the sequence of the last solve...
Uh, logic fail?
How in the world is it possible to know the sequence of the last solve? There are literally an infinite number of solutions to any given scramble of a rubik's cube, and you don't even know WHEN the last solve will be!