The Last Digit of Pi.

[DeleterJoe]

I read on another thread, now dead and closed, about someone conjecturing that the last digit of pi was 0, and I thought well that's stupid of course there is no last digit of pi since it's an irrational number and continues forever... then a thought occurred, the last digit of pi if there were one, would be just that "1" it would be the point at which there was a realization that the number sequence actually did start over. or perhaps it could be 2, 3, 4, 5, 6, 7, 8, 9, 0. If not 1, I mean if there were to be a last digit it would have to be one of those "10" numbers.

 

[emolover]

The last number is 4.

 

[ThomasJE]

I mean if there were to be a last digit it would have to be one of those "10" numbers.

That's like saying if you were to get a PLL, it would be A, U, H, Z, N, J, R, T, F, Y, G, E or V.

Anyway, irrational means a number goes on forever WITHOUT a pattern. So, 10/3 is rational. Pi is irrational, so we don't know the last digit.

 

[brunovervoort]

It's 5, no doubt.

 

[Stefan]

irrational means a number goes on forever WITHOUT a pattern.

Here's an irrational number with a simple pattern:

1.01001000100001000001000000100000001000000001...
(always one more 0 before the next 1)

 

[Dene]

The last number is 4.

You win this thread.

 

[ThomasJE]

Here's an irrational number with a simple pattern:

1.01001000100001000001000000100000001000000001...
(always one more 0 before the next 1)

OK, a repeating pattern.

 

[Dacuba]

OK, a repeating pattern.

A rational number is any number that can be written as p/q, assuming p and q are real.
afaik. Don't yell at me.

 

[ThomasJE]

A rational number is any number that can be written as p/q, assuming p and q are real.
afaik. Don't yell at me.

Makes sense.

 

[Stefan]

A rational number is any number that can be written as p/q, assuming p and q are real.

Not quite.

And I don't see how that characterization would be useful for the topic of this thread.

 

[uberCuber]

A rational number is any number that can be written as p/q, assuming p and q are real.

This would mean that pi is rational because you can write it as pi/1, and both pi and 1 are real.

 

[mdolszak]

From Dictionary.com:

Rational number - a number that can be expressed exactly by a ratio of two integers.

Pi is not an integer; therefore pi/1 is not a rational number.

 

[cowabunga]

must... make perfect circle!

its 0 btw

 

[Stefan]

From Dictionary.com:

Rational number - a number that can be expressed exactly by a ratio of two integers.

Pi is not an integer; therefore pi/1 is not a rational number.

0.5 is not an integer; therefore 0.5/1 is not a rational number.

Right?

 

[Dacuba]

I am so freaking scared of quoting you cause I know you are way smarter than me

0.5 is not an integer; therefore 0.5/1 is not a rational number.

Right?

0.5/1 is a rational number, because it is the same as 1/2 and therefore can be expressed as a ratio of two integers, which covers the defintion of mdolszak.
But you can't form pi/1 to a ratio with two integers, so pi/1 is not a rational number.

 

[Stefan]

But you can't form pi/1 to a ratio with two integers

Are you sure? Proof, please!

Spoiler

Just kidding. And yeah, that's how he should have written it.

And lol at you being scared of me

 

[Sa967St]

A rational number is any number that can be written as p/q, assuming p and q are integers, and q is non-zero.
afaik. Don't yell at me.

FTFY.

 

[Rune]

Here's an irrational number with a simple pattern:

1.01001000100001000001000000100000001000000001...
(always one more 0 before the next 1)

A remarkable number. After a while you´ll find a string of an infinite number of zeros in it. But still, the number does not end on a zero. Or does it?

 

[Stefan]

After a while you´ll find a string of an infinite number of zeros in it.

I don't think so. You only get arbitrarily long finite zero-strings.