Identity Property of Rational Numbers: Some important properties that should be remembered are:

Additive identity: Zero is the additive identity for Rational, natural, whole numbers and integers, since adding it to them does not change the result.

• 13 + 0 = 13
• + 0 =

Hence, 0 + a = a + 0 = a, where a can be rational number or natural number or whole number or integer.

Multiplicative identity: One is the additive identity for Rational, natural, whole numbers and integers, since multiplying it to them does not change the result.

• 3 x 1 = 3
• x 1 =

Hence, 1x a = ax1 = a, where a can be rational number or natural number or whole number of integer.