Question

Given below is a positive rational number or not?
$(\dfrac{0}{3})$

Answer 1

Hint: In order to answer this question, to know the given fractional number is a positive rational number, we will first explain the positive rational number and its criteria, then we will judge the given number on the basis of the criteria.

Complete step-by-step solution:
A rational number is said to be positive if its numerator and denominator are either both positive integers or both negative integers and also it is a number that can be written as a ratio.
So, $\dfrac{0}{3}$ is a rational number, but we know that $\dfrac{0}{3} = 0$ .
The number 0 is a rational number but it's neither a positive nor a negative rational number.
Therefore, $\dfrac{0}{3}$ is not a positive rational number.

Note: Some example of positive rational numbers are $\dfrac{1}{3},\dfrac{2}{5},\dfrac{{ - 3}}{{ - 5}}$ , etc.. We can also write the given example as a ratio and its numerator and denominator are both positive integers and both negative integers respectively.