# Which numbers are rational and irrational

Algebra

### Which numbers are rational and irrational

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.

rationalquestion

### Re: Which numbers are rational and irrational

Rational are all numbers, which can be expressed in the form $x\frac{p}{q}$, 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 $6,\: \frac{1}{2},\: 0.3,\: 0.333(3)(which\: is\: \frac{1}{3}) \: and\: so\: on$

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

Posts: 22
Joined: Fri Jun 06, 2008 5:16 am

### Re: Which numbers are rational and irrational

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

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

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

Posts: 22
Joined: Fri Jun 06, 2008 5:16 am

### Re: Which numbers are rational and irrational

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.

Posts: 0
Joined: Mon Jan 24, 2011 1:25 am

### Re: Which numbers are rational and irrational

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
Guest

### Re: Which numbers are rational and irrational

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.
manoj9585

Posts: 11
Joined: Tue May 22, 2012 1:56 am

### Re: Which numbers are rational and irrational

I do not understand why you say that

Pi is an example of an irrational number.

why?

Also is it possible q=0?
Guest

### Re: Which numbers are rational and irrational

There is a nice article on rational and irrational numbers on ezine articles directory. The following link takes you to the article, hope it clears the concept of rational and irrational numbers further.

http://ezinearticles.com/?What-Are-Rati ... id=5553257
Guest