Question

Explain a rational number in your words?

Answer 1

Hint: In the above problem, we are asked to write about a rational number in which we are going to write a definition of a rational number then we will talk about the properties of a rational number so that we can apply it in solving the problems.

Complete step-by-step solution:
A rational number is a fraction which is in the form of $\dfrac{p}{q}$ where p and q are integers and q is always a non – zero number. In the below, we are demonstrating the rational numbers according to the definition. So, according to definition, rational number is of the form $\dfrac{p}{q}$ where p and q are integers so let us take p and q which are integers as 2 and 3 and you can see that we have taken q as non – zero.
$\dfrac{2}{3}$
Another example could be:
$\dfrac{1}{2},\dfrac{10}{16},\dfrac{52}{48},5$
In the below, we are showing some properties of rational number:
All rational numbers are real numbers. We know that there are two kinds of numbers i.e. real and imaginary. So, you can assume there are two bags one contains real numbers and another contains imaginary numbers so rational numbers always lie in the real numbers bag.

Note: The point to be noted is that all rational numbers are real but all real numbers are not rational numbers because real numbers are a bunch of rational and irrational numbers. So, in exams there is a statement given like all real numbers are rational and we have to state true and false about this statement so generally in the hastiness of solving examinations we mark it true which is a wrong answer so make sure you won’t make this mistake.
Also, 0 is a rational number. Don’t overlap the definition of a rational number which states that the denominator of the rational number should never be zero and you think that numerator also should not be zero and mark this statement “0 is a rational number” as false.