Which numbers are rational and irrational

[rationalquestion]

Hi guys.
Who can answer these number questions.
Which numbers are rational?
Which numbers are irrational?
What is the difference between rational and irrational numbers.

[martosss]

Rational are all numbers, which can be expressed in the form [tex]x\frac{p}{q}[/tex], qhere [texp\in Z,q\in Z_0[/tex]. That means p is a whole number, q is also a whole number, but cannot be 0.
An example for rational numbers is [tex]6,\: \frac{1}{2},\: 0.3,\: 0.333(3)(which\: is\: \frac{1}{3}) \: and\: so\: on[/tex]

Irrational numbers on the other hand cannot be expressed in the form [tex]\frac{p}{q}[/tex].
Examples are [tex]\sqrt{2},\: \sqrt{5},\: \sqrt{23}[/tex] and so on.

[martosss]

Rational are all numbers, which can be expressed in the form [tex]x\frac{p}{q}[/tex], where [tex]p\in Z,q\in Z_0[/tex]. That means p is a whole number, q is also a whole number, but cannot be 0.
An example for rational numbers is [tex]6,\: \frac{1}{2},\: 0.3,\: 0.333(3)(which\: is\: \frac{1}{3}) \: and\: so\: on[/tex]

Irrational numbers on the other hand cannot be expressed in the form [tex]\frac{p}{q}[/tex].
Examples are [tex]\sqrt{2},\: \sqrt{5},\: \sqrt{23}[/tex] and so on.

I fixed some typing mistakes.
It will be a good idea if I can edit my posts

[Ellery Cade]

Irrational numbers are quotients with non-repeating, non-terminating decimals.

So, the rational ones are 1, 3, and 4.
The irrational ones are 2 and 5.

[Guest]

hi guys let me tell you the irrational numbers definition .A number is called irrational, if it cannot be expressed as quotient of integers pq, q ≠ 0. .Non-repeating, non-terminating decimal numbers cannot be expressed in the form of a fraction.The cube root of any non-perfect cube number is also an irrational number. 3√3
Examples of irrational numbers are 2√, 3√, 7√, 1.123245278921763
If you want more explanation then go to the link:
http://www.mathcaptain.com/number-sense/irrational-numbers.html

[manoj9585]

A rational number is any number that can be written as a fraction or ratio that is p/q. here q should not be zero.
If it cannot be written as a fraction or ratio, it is an irrational number.

Example :

Pi is an example of an irrational number.
1.5 is an example of a rational number.

[Guest]

I do not understand why you say that

Pi is an example of an irrational number.

why?

Also is it possible q=0?

[adamsmith]

Rational Numbers are real number that can be written as a simple fraction.
Ex:5.2 Is a Rational number.

Irrational Numbers means a real number that cannot be written as a simple fraction.
Ex:π Irrational Number

Know more about Rational and Irrational Numbers http://math.tutorvista.com/number-system/rational-and-irrational-numbers.html