How to tell if a number is rational or irrational?
Numbers that can be written in the form of a ratio or a fraction are called rational numbers. Irrational numbers cannot be represented as a fraction.
Answer: If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if it cannot be written in this form, then it is irrational.
Let's understand this with the help of the following examples.
A rational number can be defined as any number that can be expressed or written in the p/q form, where 'p' and 'q' are integers and q is a non-zero number.
Example: 12/5, -9/13, 8/1
An irrational number on the other hand cannot be expressed in p/q form and the decimal expansion of an irrational number is non-repeating and non-terminating.
Example: √2, √7, √11
With the help of these definitions, we can identify and categorize numbers as rational or irrational.