Question

Give four examples of rational and irrational numbers.

Answer 1

Hint: This is a very generalised question based on the definition of rational number and irrational numbers. So to answer this question we must have to know what is a rational number and what is an irrational number. On the basis of that we can write four examples of rational and irrational numbers.

Complete step-by-step answer:
First we will write four examples of rational numbers therefore we need to know the definition of rational number.
Rational number: A number that can be made by dividing two integers (an integer is a number with no fractional part). Or a number that can be written in the form of $\dfrac{p}{q}$ where $q \ne 0$ is called the rational number.
So we can write four numbers which satisfy the above definition.
$2,\dfrac{1}{4}, - \dfrac{3}{7},0.65$ etc these are four examples of rational numbers.
Now coming to irrational number,
Irrational number: A real number that can not be made by dividing two integers (an integer has no fractional part). Or the number which can not be written in the form of $\dfrac{p}{q}$ where $q \ne 0$ is called the irrational number.
There are many examples of irrational number,
We can write four among them
$\pi $ or $\dfrac{{22}}{7}$, $\sqrt 2 ,\sqrt 3 ,\sqrt 5 $ etc these are irrational numbers.

Note: All the prime numbers under square root are irrational numbers, that can not be written in the form of $\dfrac{p}{q}$. So wherever we see this type of number directly we can say this is an irrational number without any calculation.