Distributivity of multiplication over addition : For any three literals `a b and c` we have (i) `a(b+c)=ab+ac` (ii) `(b+c)a=ba+ca`.

Distributivity of multiplication over addition: For any three literals ab and c we have (i) a(b+c)=ab+ac( ii) (b+c)a=ba+ca

Associativity : For any three literals ab and c we have (ab)c=a(bc)

Commutativity : For any two literals a and b we have ab=ba

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

Verify the distributive property of multiplication over addition if a = 968, b = 846 and c = 154.

Property 3 (Associativity of addition): The additions is associative i.e.for any three integers ab and c we have (a+b)+c=a+(b+c)

(a) a+b=c " " - Commutative property for multiplication (b) a+(b+c) = (a+b) +c " " - Distributive property of multiplication over addition ( c) axx b = bxxa - " " Associative property for addition (d) axx (b+c) = axx b +a xx c " " - Closure property for addition

Verify the distributive property of multiplication over addition and subtraction if a=128, b=93, c=16 .