I need help with rational and irrational numbers!

Question

ghazi · Answer

@waterineyes  what say about pi shall we begin? lol

anonymous · Answer

Do you want to become a comedian ? @ghazi

ghazi · Answer

well rational are those which can be written in the form of (p/q) but on division it terminates but irrational terminates nowhere..like pie and @waterineyes  of course NO ..

anonymous · Answer

@monica123 post what do you want to know about them ???

anonymous · Answer

I  know that rationals are like fractions and irrational numbers don't make sense...

anonymous · Answer

$\large \frac{2}{3}$ in rational or not ??

anonymous · Answer

rational?

anonymous · Answer

I am in doubt too..

Ghazi is that rational or irrational ??

anonymous · Answer

When you divide 2 by 3 then you get 0.6666666666666666

isn't it irrational ??

anonymous · Answer

It's rational as it can be represented by the ratios of 2 integers. Pi cannot. e cannot.

anonymous · Answer

We know what every digit in the decimal sequence of 0.666666666 will be. With pi, it's just a random mess of unpredictable digits.

anonymous · Answer

Okay what about $\large \frac{22}{7}$ ??

anonymous · Answer

Rational- ratio of 2 integers

anonymous · Answer

Oh if we can predict the next digit in decimal form then it is rational otherwise it is not..

Right @henpen ??

jim766 · Answer

numbrs are rational if when you divide them the answer is a decimal that terminates or repeats.   ie 1/2 = .5    5/1 = 5      2/3 = .3333...
irratational numbes will go on forever but never repeat   pi,  sq rt of 2

anonymous · Answer

The decimal sequence will be recurring, hence predictable (though it might repeat every 100 or so digits with larger ratios- but that's a practical issue)

anonymous · Answer

Yes

anonymous · Answer

22/7= 3.142857142857142857142857142857142857142857142857142857142857142857142857

anonymous · Answer

Great @Jim766

anonymous · Answer

Although they can repeat as continued fractions: http://en.wikipedia.org/wiki/Pi#Continued_fractions

anonymous · Answer

Isn't there a repeating pattern ???

anonymous · Answer

http://www.cs.utsa.edu/~wagner/pi/ruby/pi1.gif

anonymous · Answer

Yes, but that doesn't correlate to a repeating decimal pattern when you finally expand the infinity of fractions.

anonymous · Answer

Did not get you...

anonymous · Answer

|dw:1346609931416:dw|Repeats. 3.14159264... does not