Multiplication ∙

Natural number multiplication is defined recursively through the Peano axioms using the addition and successor operations. Natural number multiplication is used to construct integer multiplication. Integer multiplication is used to construct rational multiplication. Real multiplication is used to construct complex numbers. Since there are different versions of multiplication for each type of number, the properties are proved for each type of number. (The real numbers have not been constructed yet.)

Properties

Multiplication Tables

Examples

Arithmetic Overview

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