Check the distributive property for the following triples of rational numbers:

(i) (ii)

(iii)

theDistributive property of multiplication over addition is .

(i) Let LHS(Left Hand Side) is

Let RHS (Right Hand Side) is

Hence, LHS=RHS i.e. a*(b+c)=a*b+a*c. Which is showing distributive property of multiplication over addition.

(ii) Let LHS(Left Hand Side) is

Let RHS (Right Hand Side) is

Hence, LHS=RHS i.e. . Which is showing distributive property of multiplication over addition.

(iii) Let LHS(Left Hand Side) is

Let RHS (Right Hand Side) is

Hence, LHS=RHS i.e. . Which is showing distributive property of multiplication over addition.