Definition:Multiplication

Definition
Multiplication is the basic operation $\times$ everyone is familiar with.

For example:


 * $3 \times 4 = 12$
 * $13 \cdotp 2 \times 7 \cdotp 7 = 101 \cdotp 64$

Also see

 * Definition:Quaternion Multiplication

Commutativity of Multiplication
On all the above number sets, we have that multiplication is commutative:


 * Natural Number Multiplication is Commutative
 * Integer Multiplication is Commutative
 * Modulo Multiplication is Commutative
 * Rational Multiplication is Commutative
 * Real Multiplication is Commutative
 * Complex Multiplication is Commutative

Associativity of Multiplication
On all the above number sets, we have that multiplication is associative:


 * Natural Number Multiplication is Associative
 * Integer Multiplication is Associative
 * Modulo Multiplication is Associative
 * Rational Multiplication is Associative
 * Real Multiplication is Associative
 * Complex Multiplication is Associative