Adding and Subtracting Complex Numbers

When we first start dealing with complex numbers, things can seem a little.. well, complex. But as we''ll soon discover, adding and subtracting these complex numbers might be a lot easier than you think.

How to add and subtract complex numbers

The process of adding and subtracting complex numbers is simple, and all we need to do is add or subtract the real and imaginary parts separately. When we talk about "real" parts, we''re talking about the coefficients of the real numbers. Imaginary parts are the coefficients of the numbers with the imaginary unit ''i'', where:

i^2 = -1

Consider the following example:

(3+5i)+(-1-i)

We can use the commutative and associative properties to break this function into segments:

(3+5i)+(-1-i) = (3+(-1))+(5i+(-i))

Now we can simplify this as:

2+4i

Let''s try another example:

(3-2i)-(5-4i)

Let''s break this function down into smaller parts:

(3-5)+[-2-(-4)]i

Now we can simplify:

-2+2i

Topics related to the Adding and Subtracting Complex Numbers

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A qualified tutor can help your student add and subtract complex numbers

Complex numbers represent a major step forward in the learning curve, and it''s important your student gets this concept right the first time before moving on to multiplying and dividing complex numbers. You can help your student establish a solid foundation of basic knowledge by letting Varsity Tutors team them up with a tutor. Each tutor is carefully vetted and can provide targeted instruction based on your student''s unique learning goals, ability level, and much more.