Show that the complex number 0 (=0 + 0i) has the following properties. (a) 0 + z...

Show that the complex number 0 (=0 + 0i) has the following properties.

(a) 0 + z = z and z + 0 = z, for all complex numbers z.

Hint: Let z = a + bi.

(b) for all complex numbers z.