What are rational numbers? Give four examples of each of positive rationals and negative rationals. Give an example of a rational number which is neither positive nor negative.

A rational number is a number that can be expressed in the form $\dfrac{p}{q}$, where p and q are integers and q ≠ 0. In $\dfrac{p}{q}$, we have numerator = p and denominator = q.

Examples of Positive Rational Numbers:

A rational number is positive if its numerator and denominator are both of the same sign (both positive or both negative).

(1) $\dfrac{3}{4}$

(2) $\dfrac{11}{20}$

(3) 5 (which is $\dfrac{5}{1}$)

(4) $\dfrac{-7}{-9}$

Examples of Negative Rational Numbers:

A rational number is negative if its numerator and denominator are of opposite signs.

(1) $-\dfrac{1}{2}$

(2) $\dfrac{-5}{8}$

(3) $\dfrac{4}{-7}$

(4)-10 (which is $\dfrac{-10}{1}$)

Example of a rational number which is neither positive nor negative is 0.