EXISTENCE OF MULTIPLICATION IDENTITY If a is any whole number then `a xx 1 = a = 1 xx a`.

MULTIPLICATION BY ZERO If a is any whole number then a xx0=0xx a=0

EXISTENCE OF ADDITIVE IDENTITY If a is any whole number then a+0=a=0+a

Property 2 If a is any whole number then a-:1=a.

ASSOCIATIVITY If abc are any whole numbers then (a xx b)xx c=a xx(b xx c)

DISTRIBUTIVITY OF MULTIPLICATION OVER ADDITION If abc are any three whole numbers then (i) a xx(b+c)=a xx b+a xx c( ii) (b+c)xx a=b xx a+c xx a

Identity : For any literals a we have a xx1=a=1xx a

EXISTENCE OF ADDITIVE IDENTITY (ZERO) The sum of any rational number and zero (0) is the national number itself.

EXISTENCE OF RIGHT IDENTITY - The rational number 0 is the right identity.That is for any rational number (a)/(b) we have (a)/(b)-0=(a)/(b)

Does there exist a whole number a such that a-:a=a?

CLOSURE PROPERTY If a and b are two whole numbers then their product a xx b is also a whole number.