Online Algebra Tutoring: Complex Numbers (Addition and Subtraction)

Algebra Worksheets

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1. Addition:

p+qi and r+ti are two complex numbers.

To add these two complex numbers we add the real parts and imaginary parts of both the numbers separately.

(p+qi) + (r+ti ) = (p+r ) + (q+t)i

Example:

(3+4i ) +(2+5i )
= (3+2) + (4+5)i
=(5+9i )

2. Subtraction

p+qi and r+ti are two complex numbers.
To subtract these two numbers, we will subtract the real part of second number from the real part of the first number and imaginary part from imaginary part.

(p+qi ) – (r+ti ) = (p-r ) + (q-t)i

Example:

(5+3i) – (4+i)
= (5-4) + (3-1)i

Check point

1.) ( -13 + 4i) + ( 7 + 4i)
2.) (-15 + 7i) – (2 + 3i)
3.) (-7 + 3i) + (- 2 + 5i)
4.) 4 – (3 + 2i)
5.) (2 – 3i) + (4 + 7i)

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Tutoring Package	Validity	Grade (1-12), College
5 sessions	1 Month	$139
1 session	1 Month	$28
10 sessions	3 months	$269
15 sessions	3 months	$399
20 sessions	4 months	$499
50 sessions	6 months	$1189
100 sessions	12 months	$2249