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# COMPLEX NUMBERS

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## Soha Oraby

on 1 November 2016

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#### Transcript of COMPLEX NUMBERS

COMPLEX NUMBERS
Is a combination of a Real and Imaginary numbers
COMPLEX NUMBERS
A+Bi
A is a the real part
EXAMPLE
When we add two complex numbers, we should add them separately first.

To multiply complex numbers:

Each part of the first complex number gets multiplied by
each part of the second complex number

Just use "FOIL", which stands for "Firsts, Outers, Inners, Lasts"
EXAMPLE
(3+2i)(1+7i)
SOHA ORABY
10A
Any number you will think about is a Real Number
Imaginary is when a squared number gives a negative result.
B is the imaginary part
when we square i we get -1
(a+bi) + (c+di)
=
(a+c) +(b+d)i
(8+3i) +(2+4i)=(10+7i)
First: a x c
Outer: a x di
Inner: bi x c
Last: bi x di
(a+bi)(c+di)
3x1+3x7i + 2ix1 + 2ix 7i
3+21i + 2i+14i
2
3+21i + 2i -14
because i
2
= -1
2
11 + 23i
Full transcript