I'm Confuzzled

[J.T]

If a rational number is a number that can be expressed as a fraction and it's possible to convert a ratio into a fraction

Then shouldn't it be possible to convert Pi (a ratio) into a fraction, thus making it a rational number?

I hate math...

[Nukeman]

If a rational number is a number that can be expressed as a fraction and it's possible to convert a ratio into a fraction

Then shouldn't it be possible to convert Pi (a ratio) into a fraction, thus making it a rational number?

I hate math...only if you round it.. otherwise the number goes on to infinity.. thus the reason it is an irrational

Here is a site you might like or at tleast to give some information..

http://www.morris.umn.edu/academic/math/Ma4901/Sp09/Final/Kevin-Scharber-Final.pdf



We notice here that Pi is still an infinite sequence in this notation. As a matter of fact,this will hold for any irrational number as proved by Khinchin [1] in the early 20thcentury.


I hate math as well, however it is a necessary evil :beer:

[Noir]

Pi can not be expressed with total accuracy as a ratio.

[J.T]

Pi can not be expressed with total accuracy as a ratio.

What? I thought Pi, by definition is a ratio?

π (sometimes written pi) is a mathematical constant (http://en.wikipedia.org/wiki/Mathematical_constant) whose value is the ratio (http://en.wikipedia.org/wiki/Ratio) of any circle (http://en.wikipedia.org/wiki/Circle)'s circumference to its diameter (http://en.wikipedia.org/wiki/Diameter); this is the same value as the ratio of a circle's area to the square of its radius.
http://en.wikipedia.org/wiki/Pi

[Noir]

What? I thought Pi, by definition is a ratio?

π (sometimes written pi) is a mathematical constant (http://en.wikipedia.org/wiki/Mathematical_constant) whose value is the ratio (http://en.wikipedia.org/wiki/Ratio) of any circle (http://en.wikipedia.org/wiki/Circle)'s circumference to its diameter (http://en.wikipedia.org/wiki/Diameter); this is the same value as the ratio of a circle's area to the square of its radius.
http://en.wikipedia.org/wiki/Pi


It is ratio, but not one that can be *expressed* totally accurately.

[J.T]

It is ratio, but not one that can be *expressed* totally accurately.

Sure it can. As a ratio. Right? Isn't the very definition of pie the ratio in question? How is that not an accurate expression of itself?

[Noir]

Sure it can. As a ratio. Right? Isn't the very definition of pie the ratio in question? How is that not an accurate expression of itself?

No. Because it is an irrational number.

You could describe the ratio as 1:3
Or you could be more accurate and describe it 1:3.1
Or even more accurate again and describe it as 1:3.14
Or more accurate again and describe it as 1:3.142
And so on.
You can get more and more accurate, but you will never get a toally accurate ratio, even if you went to billions of digits.

[ConHog]

No. Because it is an irrational number.

You could describe the ratio as 1:3
Or you could be more accurate and describe it 1:3.1
Or even more accurate again and describe it as 1:3.14
Or more accurate again and describe it as 1:3.142
And so on.
You can get more and more accurate, but you will never get a toally accurate ratio, even if you went to billions of digits.

Exactly, there are no mathematical rules which state that a ratio must be a rational number.

[Noir]

Exactly, there are no mathematical rules which state that a ratio must be a rational number.

But the point is you can not express an irrational number without doing so innacuratly.

[J.T]

But the point is you can not express an irrational number without doing so innacuratly.
Except you can with pi by measuring the diameter and circumference of a circle. Pi is, by definition, simply the ratio between them

[Noir]

Except you can with pi by measuring the diameter and circumference of a circle. Pi is, by definition, simply the ratio between them

Except you can't.

Right, simplest way to settle this, please express Pi as a total accurate ratio.

[chloe]

If a rational number is a number that can be expressed as a fraction and it's possible to convert a ratio into a fraction

Then shouldn't it be possible to convert Pi (a ratio) into a fraction, thus making it a rational number?

I hate math...

I hate math too, I've failed it already and I've had tutors and just can't even focus on it.

[Missileman]

If a rational number is a number that can be expressed as a fraction and it's possible to convert a ratio into a fraction

Then shouldn't it be possible to convert Pi (a ratio) into a fraction, thus making it a rational number?

I hate math...

I though it was a fraction 22/7 that is normally expressed as 3.14...

(added) Whoops...22/7 is only an approximation

[Mr. P]

This PI are square stuff is insane. Everyone knows PIE ARE ROUND!!!! That is all. :thumb:

[Noir]

I though it was a fraction 22/7 that is normally expressed as 3.14...

(added) Whoops...22/7 is only an approximation

Yep, 22/7 only goes to 6 decimal places, then recours i.e. 3.142857142857142857... etc