Rational and Irrational Numbers


   
 
Summary
A rational number is a number of the form where p and q are integers and .
 
Problems involving rational numbers are simplified using 'BODMAS' rule.
 
A rational number can be represented in the decimal form.
 
When a rational number is represented as a decimal, it will be either a terminating decimal or a recurring decimal.
 
A terminating decimal or a recurring decimal can be represented in the form .
 
All real numbers which are not rational are called irrational numbers.
 
If 'a' is not the nth power of any rational number, is called a surd.
 
All surds are irrational numbers.
 
Rational numbers and irrational numbers together form the set of real numbers.
 
All rational and irrational numbers can be marked on the number line.
 
Numbers with surds in the denominator are supposed to be simplified by rationalising their denominators.
 
 
     
   
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