How to explain rational numbers, irrational numbers, and how they are different?

Step 1 To explain: a) Rational number. b) Irrational number. c) Difference between rational number and irrational number. Step 2 a) Rational number: A Rational number is a number that can be expressed in the form of a ratio p/q, where p and q are integers and ${\displaystyle q\ne q0}$. Rational numbers are finite and has terminating or repeating decimals. Examples of rational numbers: ${\displaystyle \frac{1}{2},\frac{7}{4},\sqrt{81},\frac{1}{100}}$ etc. ${\displaystyle \frac{3}{4}}$ can be represented as 0.75 which is a terminating decimal. ${\displaystyle \frac{2}{3}}$ can be represented as 0.6666 .... which is a repeating decimal. Step 3 b) Irrational number: An irrational numbers is a number that is not rational. Irrational numbers cannot be expressed as a fraction with integer values in the numerator and denominator. Irrational numbers are infinite and has non - terminating and non-repeating terms. When an irrational number is expressed in decimal form, it goes on forever without repeating. But both the numbers are real numbers and can be represented in a number line. Examples of irrational numbers: ${\displaystyle \frac{\sqrt{3}}{2},\pi ,0.131331333\dots .,5+\sqrt{3}}$ Step 4 c) Difference between rational number and irrational number: $\begin{array}{|cc|}\hline Rationalnumber& Irrationalnumber\\ Itisexpressedintheratio,wherebothnumeratoranddenominatorarethewholenumbers& Itisimpossibletoexpressirrationalnumbersasfractionsorinaratiooftwointegers\\ Itincludesperfectsquares& Itincludessurds(weca{n}^{\prime }tsimplifyanumbertoremoveasquareroot)\\ Thedecimalexpansionforrationalnumberexecutesfiniteorrecurringdecimals& Here,non-terminatingandnon-recurringdecimalsareexecuted\\ \hline\end{array}$