Classification of Irrational Numbers

Practice vocabulary flashcards covering the definition, decimal characteristics, and main classifications (algebraic and transcendental) of irrational numbers.

Irrational Numbers

Numbers that have infinite decimal digits that never repeat and do not follow a periodic pattern; they are divided into algebraic and transcendental numbers.

Algebraic Irrational Numbers

Irrational numbers that are solutions to polynomial equations with integer coefficients, such as $\sqrt{2}$ because it satisfies the equation $x^2 - 2 = 0$.

Transcendental Numbers

Universal and rebellious constants that do not originate from any polynomial equation and exist naturally, such as $\pi$ or the number $e$.

Non-Periodic Decimal Expansion

The representation of irrational numbers consisting of an endless sequence of decimal digits that never repeat or follow a periodic cycle.