Required Answer :-
: The Rational numbers are the numbers that can be written in the form of a fraction where numerator and denominator are integers. In the case of rational numbers, numerator and denominator should be coprime and denominator should not be equal to zero. Mathematically, rational numbers definition is given as the number a/b if a and b are coprimes, and b is not equal to zero.
Examples for Rational Numbers:
5 is a rational number because ‘5’ can be written as 5 / 1 Here 5 and 1 are coprimes and 1 is not equal to zero.2.343 is a rational number because it can be written as 2343/1000 The square root of perfect square numbersAll 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.
Additional information :-
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.
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