Property 7 for any integer a we have `a xx (-1)= - a = (-1) xxa`

Property 6 (property of zero): for any integer we have a xx0=0=0xx a

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

Property 3 For any integer a we have a-0=a i.e.0 is the right identity for subtraction.

Property 2 (commutativity): for any two integers a and bwe have a xx b=b xx a that is multiplication of integers is commutative.

Property 4 (distributivity of multiplication over addition): the multiplication of integers is distributive over their addition.that is for any three integers a bc we have (1) a xx(b+c)=a xx b+a xx c(2)(b+c)xx a=b xx a+c xx a

Property 3 (Associativity): the multiplication of integers is associativie.for any three integers abc we have a xx(b xx c)=(a xx b)xx c

Property 5 (existence of multiplicative identity): for every integer awe have a xx1=a=1xx a the integer 1 is called the multiplicative identity for integers.

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

Property 4 (Existence of addition identity): There is integer 0such that for any integer am we have a+0=a=0+a The integer 0 is called the additive identity.

Properties II For any rational number (a)/(b) we have (a)/(b)-:1=(a)/(b) and (a)/(b)-:(-1)=-(a)/(b)=(-a)/(b)