# Properties of Whole Numbers

The properties of whole numbers are as follows:

• The number 0 is the first and the smallest whole numbers.

• All natural numbers along with zero are called whole numbers

• There is no last or greatest whole number.

• There is no largest whole number since they are infinite.

• There is infinitely many or uncountable number of whole numbers.

• All natural numbers are whole numbers.

• Each number is 1 more than its previous number.

• All whole numbers are not natural numbers.

For example: 0 is a whole number but it is not a natural number.

• Whole numbers are denoted by 'W' normally.

Note:

The system has infinite numbers.

Thus, W = {0, 1, 2, 3, 4, ……….}

Even Whole Numbers (E):

A system of whole numbers, which are divisible by 2 or are multiples of 2, is called a set of even numbers. It is denoted by 'E'.

Thus, E = {2, 4, 6, 8, 10, 12, .....}

There are infinite even numbers.

Odd Whole Numbers (O):

A system of whole numbers, which are not divisible by 2 or are not multiples of 2, is called a set of odd numbers. It is denoted by 'O'.

Thus, O = {1, 3, 5, 7, 9, 11, .....}

There are infinite odd numbers.

Note:

0’ (Zero) is neither a negative number nor a positive number, it’s a natural number.

The Number Zero

Properties of Whole Numbers

Successor and Predecessor

Representation of Whole Numbers on Number Line

Properties of Subtraction

Properties of Multiplication

Properties of Division

Division as The Inverse of Multiplication