Properties of Rational Numbers Explained With Examples

Rational numbers are numbers that can be written as a ratio or fraction, where the numerator and denominator are integers. They are comprised of all of the counting numbers (1, 2, 3…), integers (…-3, -2, -1, 0, 1, 2…), and fractions. Rational numbers have distinct properties that govern how they relate to each other and …

The Law of Trichotomy: A Fundamental Property of Real Numbers

The law of trichotomy, also known as the trichotomy property, is a fundamental axiom that applies to real numbers. In mathematical terms, it states that for any real numbers a and b, exactly one of the following must be true: This simple yet powerful idea provides the logic underlying many algebraic and analytical operations involving …