Math Formulas | Sets of Numbers

Math Formulas ► Complex numbers ► Sets of Numbers ► Set Identities

Math Formulas ► Sets of Numbers

Definitions:

N : Natural numbers

N0 : Whole numbers

Z : Integers

Z+ : Positive integers

Z− : Negative integers

Q : Rational numbers

C : Complex numbers

Formulas:

Natural numbers(counting numbers )

N={1,2,3,…}

Whole numbers ( counting numbers with zero )

N0={0,1,2,3,…}

Integers ( whole numbers and their opposites and zero )

Z={…,−2,−1,0,1,2,…}

Z+=N={1,2,…}

Z−={…,−3,−2,−1}

Z=Z−∪0∪Z

Irrational numbers:Non repeating and nonterminating integers

Real numbers: Union of rational and irrational numbers

Complex numbers:

C={x+iy | x∈R  and  y∈R}

N⊂N0⊂Z⊂Q⊂R⊂C