What do you do to check whether a number is rational or irrational? In your explanation, use an example of an irrational and rational number.

Rational numbers are the numbers which can be written as fraction of a/b ,where a,b be any integer and b≠0. They are finite and recurring decimals.

For example:- 0.2 is a rational number and can be written as 2/10 or 1/5.

Irrational numbers are the numbers which can not written as fraction and they are non-terminating .

For example: The √2 [square root of 2] is also an irrational number. After simplifying,it would be written as 1.41421356237…so on ,but the numbers go on into infinity and do not ever repeat, and they do not ever terminate.

throwdolbeau throwdolbeau · Answer 2 · 2019-04-09T07:15:05+02:00

Answer:

Rational numbers : These are the numbers which can be expressed in the form of fraction as p/q form where p and q are any integers and q is non-zero integer. They are finite and recurring decimals.

For example:- 0.8 is a rational number because it can be expressed in the p/q form i.e 8/10 or 4/5

Irrational numbers : These are the numbers which can not expressed in the fraction form as p/q and also they are non-terminating .

For example: The √2 is an irrational number. Because if we calculate the square root value of 2 then it will be 1.41421356237…so on , now as we can see the numbers are not even repeating, and also they do not ever terminate.