Number System

Numbers are organized into hierarchical sets

Numbers are organized into hierarchical sets: Natural numbers (N) = {1, 2, 3, ...}, Whole numbers (W) = {0, 1, 2, 3, ...}, Integers (Z) = {..., -2, -1

A rational number can be written

A rational number can be written in the form p/q where p and q are integers and q ≠ 0. Examples include 1/2, -3/4, 5 (which is 5/1). All integers are

Numbers that cannot be expressed as

Numbers that cannot be expressed as p/q where p and q are integers and q ≠ 0. Examples include √2, √3, π, and 0.10110111011110... These numbers have n

Rational numbers have either terminating decimals

Rational numbers have either terminating decimals (like 0.75) or non-terminating recurring decimals (like 0.333... = 0.3̄). Irrational numbers have no

The collection of all rational

The collection of all rational and irrational numbers together forms the set of real numbers (R). Every point on the number line represents a unique r