Verify the property: by taking:

(i)


(ii)


(iii)


(iv)

(i) We have,

x = , y = and z =


x * (y * z) = * ( * )


= ()


=


(x * y) * z = ( * ) *


= ()


=


(ii) We have,


x =0, y = and z =


x * (y * z) = 0 * ( * )


= 0


(x * y) * z = (0* ) *


= 0


(iii) We have,


x = , y = and z =


x * (y * z) = * ( * )


= ()


=


(x * y) * z = ( * ) *


= ()


=


(iv) We have,


x = , y = and z =


x * (y * z) = * ( * )


=


(x * y) * z = ( * ) *


= ()


=


2