21 Jun ##1/3## is a rational number being a number of the form ##p/
##1/3## is a rational number being a number of the form ##p/q## where ##p## and ##q## are integers and ##q != 0##. It is not a natural number whole number or integer. Numbers can be classified as follows: Natural numbers are the numbers ##0 1 2 3…## or ##1 2 3…## Some people prefer to start at ##0## and others at ##1##. Whole numbers are the numbers ##0 1 2 3…## this is almost the same definition as natural numbers but does explicitly include ##0##. Integers include negative numbers along with the previous ones so they are the numbers ##0 1 -1 2 -2 3 -3…## Rational numbers are all numbers of the form ##p/q## where ##p## and ##q## are integers and ##q != 0##. Note that this includes positive and negative integers since if you let ##q=1## then ##p/q = p/1## can be any integer. Real numbers are any numbers on the real line. This includes rational numbers but also includes numbers like ##sqrt(2)## and ##pi## which are not rational. Irrational numbers are any numbers which are not rational. Algebraic numbers are numbers which are roots of polynomials with integer coefficients. For example ##root(3)(2)## is algebraic because it is a root of ##x^3 – 2 = 0##. Every rational number is algebraic. Transcendental numbers are numbers which are not algebraic. They include numbers like ##pi## and ##e##. In fact most real numbers are transcendental.
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