Whole number.
Whole numbers are defined as the set of natural numbers including zero. The whole number does not contain any decimal or fractional part. The set of whole numbers is mathematically represented as:
Properties of whole numbers are:
- Closure property: Whole numbers are closed under addition and multiplication
- Commutative property: The addition and multiplication of whole numbers are commutative
- Associative property: The addition and multiplication of whole numbers are associative
- Distributive property: It obeys the distributive property of multiplication over addition
- Identity: The additive identity of whole numbers is .
- Inverse: The multiplicative identity of whole numbers is .
Thus, whole numbers are defined as the set of natural numbers including zero.