Difference between Irrational and Rational Numbers
Key Difference: Rational number is a number that can be expressed in the form of a fraction but with a nonzero denominator. An irrational number is just opposite of a rational number, as it cannot be expressed in the form of a fraction with a nonzero denominator.
A number is referred to as a mathematical value that is represented through a word, symbol or figure. Numbers are used to define a particular quantity. Numbers are generally used for measuring, labeling and ordering. Numbers are categorized according to their types. One such category is based on Rational and Irrational Numbers. Rational number is a number that can be expressed in the form of a fraction but with a nonzero denominator. In other words, a rational number can be expressed as the quotient of two integers (with a nonzero denominator). All repeating decimals fall in the category of rational numbers. One can place any rational number exactly on the number line.
Irrational numbers are just opposites of Rational numbers, as they cannot be expressed in the form of fractions with nonzero denominators. In other words, Irrational numbers can be expressed as the quotient of two integers. It is important to mention that many square roots, cube roots, etc. fall in the category of irrational numbers. However, all roots are not irrational numbers. Irrational numbers can be expressed as nonterminating, nonrepeating decimals.
Comparison between Irrational and Rational Numbers:

Rational Numbers 
Irrational Numbers 
Definition 
Rational number is a number that can be expressed in the form of a fraction but with a nonzero denominator. 
Irrational numbers are just opposites of Rational numbers, as they cannot be expressed in the form of a fraction with a nonzero denominator. 
Examples 


Resulted from 
Actual measurement 
Theoretical calculation or a definition 
Image Courtesy: mathsisfun.com
Comments
Thanks for the help.. After reading this, I really understand what rational and irrational numbers are :)
BOB
Tue, 09/09/2014  03:23
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