Number System

Natural numbers (1

Natural numbers (1, 2, 3, ...) are counting numbers used in daily life. Adding zero to natural numbers gives whole numbers (0, 1, 2, 3, ...). These fo

Integers (

Integers (..., -3, -2, -1, 0, 1, 2, 3, ...) extend whole numbers by including negative numbers. This allows subtraction like 3 - 5 = -2. Integer opera

Numbers that can be expressed as

Numbers that can be expressed as p/q where p and q are integers and q ≠ 0. Examples: 3/4, -5/7, 2 (as 2/1). Standard form requires positive denominato

Rational numbers have two types

Rational numbers have two types of decimal representations: Terminating (like 1/4 = 0.25) when denominator has only factors of 2 and 5, and Non-termin

Numbers that cannot be expressed as

Numbers that cannot be expressed as p/q, having non-terminating, non-repeating decimal expansions. Examples: √2 = 1.414213..., π = 3.141592..., √3 = 1