# Multiplication

- Symbol:

- In arithmetic, multiplication of one number,
*a*, by another,*b*, consists of adding*a*to itself*b*times. This kind of multiplication is commutative, i.e. . The identity element for arithmetic multiplication is 1, i.e. multiplication by 1 produces no change. In a series of multiplications the order in which they are carried out makes no difference to the result. For example, . This is the associative law for arithmetic multiplication. Multiplication of vectors and matrices do not follow the above rules.

**See also: **Addition, Division, Mathematical Symbols, Minus, Multiplicand, Multiplication Factor, Negative Numbers, Subtraction.

**Subjects: ** Algebra