# Properties of complex Numbers with respect to addition

There are following properties of complex numbers. Associative, additive identity, additive inverse and commutative properties.

If $Z_1=(x_1,y_1),Z_2=(x_2,y_2),Z_3=(x_3,y_3)$

be the three complex numbers then

1.   $(Z_1+Z_2)+Z_3=Z_1+(Z_2+Z_3)$ .

Associative property of addition

2.   Z + 0 = 0 + Z = Z

Additive identity

3.   Z + ( -Z ) = ( 0,0) = 0

Additive inverse property

4.   $Z_1+Z_2&space;=&space;Z_2&space;+&space;Z_1$ .  .  .  .  .  .  .  .  .  .

Commutative property of addition

READ Related topics