Question

Is 7 a rational number or an irrational number?

Answer 1

Hint: We are given a question based on whether the given number is a rational number or an irrational number. Rational number is one which can be written in the form \[\dfrac{a}{b}\], where ‘a’ is the numerator and ‘b’ is the denominator, in short, if a number can be expressed as a fraction, the number is a rational number. If the number cannot be expressed as a fraction, then the number is an irrational number. We know that any natural number can be expressed as a fraction having the number as the numerator and 1 as the denominator. Hence, we will have the required answer.

Complete step by step answer:
According to the given question, we are given a number and we are asked to explain whether the number Is a rational number or an irrational number.
A rational number is a number which can be expressed as a fraction, that is, \[\dfrac{a}{b}\], where ‘a’ is the numerator and ‘b’ is the denominator, where \[b\ne 0\].
Example – 0.01 is a rational number as it can be written in fraction as \[\dfrac{1}{100}\]. Similarly, \[0.75\] is also a rational number whose fractional form is, \[\dfrac{3}{4}\].
An irrational number is a number which cannot be expressed as a fraction.
Example - \[\pi \] is an irrational number
The number given to us is a natural number, 7.
7 can be expressed as a fraction as follows,
\[\dfrac{7}{1}\]
where 7 is the numerator and 1 is the denominator.
Therefore, the given number 7 is a rational number.

Note: Based on the above solution, we can make a conclusion that all natural numbers are rational numbers as they all can be expressed as a fraction. Also, the difference between rational and irrational numbers should be known clearly in order to tell whether the given number is rational or irrational.