True or false: addition and subtraction of complex numbers are very different procedures.

FALSE.

Step-by-step explanation:

A complex number are imaginary numbers that has both real and imaginary axis.

Addition and subtraction of complex numbers are not different procedures but the same procedure are applied to both when carrying out the operation.

For example given two complex numbers z1 = x1+iy1 and z2 = x2+iy2

z1+z2 = (x1+iy1) + (x2+iy2)

z1+z2 = x1+x2+i(y1+y2)

z1-z2 = (x1+iy1) - (x2+iy2)

z1-z2 = x1-x2+iy1-iy2

z1-z2 = x1-x2+ i(y1-y2)

It is seen that same procedural steps are carried out in both operations i.e expanding the bracket and collecting of like terms hence making the operations to be the same procedure