Adding complex numbers

To add complex numbers, you simply add together the real parts and add together the imaginary parts separately.

Let z=a+bi and let w=c+di.
z+w=(a+c)+(b+d)i

Examples of adding complex numbers

Add the complex numbers 5+4i and 6-2i

Add the complex numbers -3i-4 and 5+i

flashcards

QuestionAnswer
How do you add complex numbers z = a+bi and w = c+di?z+w = (a+c) + (b+d)i
You add the real parts together and the imaginary parts separately.
What is $ (5+4i) + (6-2i) $?11+2i
Because 5+6=11 and (4+-2)i=2i.
What is $ (-3i-4) + (5+i) $?1-2i
Because -4+5=1 and (-3+1)i=-2i.