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 $${\displaystyle \frac{a}{b}}$$, 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, $${\displaystyle \frac{a}{b}}$$, 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 $${\displaystyle \frac{1}{100}}$$. Similarly, $$0.75$$ is also a rational number whose fractional form is, $${\displaystyle \frac{3}{4}}$$.
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,
$${\displaystyle \frac{7}{1}}$$
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.