Question

Verify & mention the below given property a*(+)=*+*of rational numbers by taking a= 1:3, b= 1:5 c= -2:3

Answer 1

To Prove :

a×(b+c) = a×b + a×c

Solution :

Solving L.H.S. we get :

`a(b+c ) = (1)/(3)( (1)/(5)-(2)/(3))\\\\= -(7)/(45)`

Solving R.H.S. we get :

`a* b + a* c = (1)/(3)* (1)/(5) + (1)/(3)* (-(2)/(3))\\\\= -(7)/(45)`

Since, L.H.S = R.H.S

Therefore, the given equation is correct.