Friday 22 June 2012

What are Rational numbers

We have different types of number in mathematics and all of the plays a very significant role in many areas like science, physics, engineering, aeronautics and many more. They are natural numbers, whole numbers, real, rational, irrational, prime numbers, integers, complex numbers, etc.
But today we are going to discuss about a very important question: what are rational numbers, almost everybody uses this number, but do we know it?
So, the answer to the question: what are rational numbers, is, rational numbers are those numbers which can be written in the form of a fraction or a quotient like a/b, where a and b are the integers and b is not equal to zero.(want to Learn more about Rational numbers, click here),
The question: what are rational numbers, also shares one important point, which is: the decimal expansion of the rational numbers always either terminates itself after some finite sequence of digits or it repeats some finite sequence of digits again and again. For example: 1.33333…, 2.54, 1/10, etc.
There is another type of number which is totally opposite of what a rational number is, that number is an irrational number, which cannot be written in the form of a quotient or a simple fraction like a/b because the decimal expansion of an irrational number continues forever without repeating some finite sequence of digits over and again.
Rational numbers are of course dense in nature as we know that in between every two integers there exists many rational numbers.
But if you see according to Cantor’s proof, as we know that the real numbers cannot be counted or uncountable but rational number are countable and real number line is the mixture of rational numbers and irrational numbers, so they say that almost all the real numbers are irrational in nature.
In order to get help in the topics: what are rational numbers, area of a square formula and 2010 cbse board papers of political science, you can just visit various online educational sites and In the next session we will discuss about Define Least Common Denominator.
       

No comments:

Post a Comment