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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)

eTutorWorld Understands Math Tutoring | Online Math Worksheets are Important Tools

Understanding graphs, charts, and opinion polls in a newspaper, for calculating house and car payments, and for choosing a long-distance telephone service are impossible without strong math skills …and the only way to develop strong math skills is by constant practice.

‘Practice makes a man perfect’ holds true for no other field better than for math. A middle or high school student must set aside a minimum of an hour for math every day. Other than textbooks, worksheets help you revise and understand concepts better.

Our expert tutors prepare online maths worksheets that are age and grade-appropriate. Grade-wise math worksheets for Elementary Math, Arithmetic, Pre-Algebra, Algebra, Geometry, Trigonometry, Statistics, Pre-Calculus and Calculus can be solved to improve math skills, to get ahead or to even catch up.

You may download these FREE online math worksheets in the PDF format, and then print and email us their solutions for a free evaluation and analysis by eTutorworld’smath expert tutors.

You may solve these worksheets by yourself or with your peers while studying together.

The Answer Key at the end of each worksheet allows for a self-evaluation.

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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