Question

True or False: Addition and Subtraction of complex numbers are very different procedures.

Answer 1

The correct answer is:

False.

Explanation:

While addition and subtraction are opposite operations, the process for complex numbers is basically the same for both operations. Treating subtraction of a complex number as addition of a negative complex number, we can treat subtraction as addition. Thus they are not completely different.

Answer 2

FALSE.

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