# Multiplication Operator Multiplication is a basic arithmetic operation performed on two numbers. Multiplying a number by another number is the same as taking n groups of the other number.

## Notation

This site uses the following notation to represent the multiplication operation.

Multiplication

A dot between two numbers denotes multiplication in mathematics.

Multiplication Parentheses

Two expressions placed next to eachother and separated by parenthesis are assumed to be multiplied together.

Multiplication Variables

In mathematics when two variables are next to each other the implied operation is multiplication. This makes many equations and formulas more simple.

## Examples

### Example 1

1. 5 multiplied by 6 can be expressed as 5 groups of 6.

2. 5 multiplied by 6 is 30.

### Example 2

1. Four multiplied by three is the same as four groups of three.

2. Four multiplied by three is equal to twelve.

### Example 3

1. Two multiplied by seven is the same as two groups of seven.

2. Two multiplied by seven is fourteen.

## Properties of Multiplication

There are three propreties of addition: the commutative property, associative property, and the identity property.

Name Property
Commutative Property
Associative Property
Identity Property
Distributive Property