Which property of addition is shown in the equation below? c + di + 0 + 0i = c + di

The property of addition that is shown in the equation below is:

                        Identity Property.

Identity--

An identity is a number or a quantity which when treated to any other number gives the resultant as the same number.

We know that under addition the identity is always zero.

i.e. a+0=a for all a.

Also, in complex numbers the identity under addition is defined by: 0+0.i

where i is a complex number with the property such that:

Hence, any complex number : a+b.i

when treated by the additive identity gives the resultant as same complex number.

i.e. c+d.i+0+0.i = c+d.i

             Hence, the property of addition is:

                      Identity Property