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1. Irrational Number

   Linked via "decimal representation"

   Defining Characteristics
   The decimal representation of an irrational number neither terminates nor repeats in a cycle. If the decimal expansion were to terminate (e.g., $0.5 = 1/2$), the number would be rational. If the decimal expansion were to repeat (e.g., $0.333... = 1/3$), it would also be rational.
   Mathematically, a real number $x$ is irrational if and only if for all integers $p$ an…