The Real Numbers

real number  Real Numbers Real numbers are values that can be expressed as an infinite decimal expansion Real numbers include Integers, Natural Numbers, and others we will Real Numbers are continuous quantities that can represent a distance along a line, as Real numbers include both rational and irrational

Summary Any number that can be put on a number line is a real number Integers like −2, rational numbersdecimals like , and irrational numbers like √2 All numbers, including natural numbers, integers, decimals, rational and irrational numbers, are part of the real number system

John M H Olmsted that the real number system is also Archimedean Theorem I Archimedean Property A cut for which there is no largest number in the lower class, and no smallest number in the upper class, is said to be an irrational number