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 = ( * ) *

= ()

=