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 :

$a(b+c ) = \dfrac{1}{3}( \dfrac{1}{5}-\dfrac{2}{3})\\\\= -\dfrac{7}{45}$

Solving R.H.S. we get :

$a\times b + a\times c = \dfrac{1}{3}\times \dfrac{1}{5} + \dfrac{1}{3}\times (-\dfrac{2}{3})\\\\= -\dfrac{7}{45}$

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

Therefore, the given equation is correct.