Properties of Whole Numbers:
Properties of Operators:
Division by zero
Division of any whole number by is undefined.
Addition and multiplication are commutative for whole numbers. i.e., whole numbers can be added or multiplied in any order.
Associativity of addition and multiplication
Identities: They are the numbers which when included in addition and multiplication, the value of the operation is unchanged.
Additive identity gives the same whole number when added to another whole number.
Zero is the additive identity as , ( is any whole number).
Multiplicative identity gives the same whole number when multiplied by another whole number.
is the Multiplicative identity as , ( is any whole number)
Numbers between square numbers
There exists non-square numbers between successive square numbers.
Adding odd numbers
Sum of first natural odd numbers are ,which is a perfect square.