Question

Is \[\dfrac{1}{3}\] a rational or irrational number?

Answer 1

Hint: Here we have to know about the rational and irrational number, rational number are the numbers which can be written in the form of \[\dfrac{p}{q}\] and \[q \ne 0\], whereas irrational are the number which are repeating after decimal and are non terminating.

Complete step-by-step solution:
The given number is \[\dfrac{1}{3}\],
Here to solve this question we need to understand that the definition of both rational and irrational number defines the given number,
Here the number given is in the form of \[\dfrac{1}{3}\], which is in the form of the rational number that is \[\dfrac{p}{q}\], and also here the denominator value is non zero, which is the other condition for rational number, hence the number asked is rational number.

Note: If the question arises to prove for the specific function or property, then to solve this question we need to go for the definition and then prove for the given question, here as the question ask for the rationality or irrationality of the given number hence we solved accordingly.