Properties of Multiplication

Multiplication is one of the basic operation of Algebra in mathematics. Multiplication is generally used to scale one number by another number. A '*' sign is used to represent multiplication operation. Sometimes multiplication also denoted by a ‘middle dot’ or ‘x’. These different notation are there to reduce the confusion between the multiplication sign and the usually used mathematical operator 'x'. Here are some of the properties of multiplication:

1. Closure Property

          According to this property, when two whole Numbers are multiplied then the product will also be a whole number.

e.g, 3 x 5 = 15


2. Commutative Property

          The commutative property of multiplication states that when two whole numbers are multiplied, the result doesn't change with change in the order of the whole numbers.

e.g, 3 x 5 = 5 x 3 = 15


3. Associative Property

          The Associative Property of multiplication states that when three whole numbers are multiplied, the result doesn't change with change in the Position of the brackets of the operators.

e.g, 3 x (5 x 2) = (5 x 3) x 2 = 30
 

4. Identity Property

          The identity property states that there is a Whole Number '1' such that when this number gets multiplied with any other whole number then the result will be the other whole number.

e.g, 3 x 1 = 3

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