# Complex Numbers - Weebly Complex Numbers It's any number you can imagine The Imaginary Number i 1 i By definition

Consider powers of i i 2 1 I one I one 2 i 1 3 2 i i i i

And it is a negative sandwich i 4 i 2 i 2 1 1 1 5 4 i i i 1i i 2 Using i

Now we can handle quantities that occasionally show up in mathematical solutions a 1 a i a What about 49 18 3

Complex Numbers Combine real numbers with imaginary numbers a + bi Real part Imaginary part

Examples 3 4i 3 6 i 2 4.5 i 2 6 4 Try It Out

Write these complex numbers in standard form a + bi 9 5 75 144 16 7 100 5 Operations on Complex Numbers

Complex numbers can be combined with addition subtraction multiplication division 6 Add 2 4i 4 3i

7 Subtract 3 i 8 2i 8 Multiply 9 12i 7 15i 9 Multiply

(2+3i) 10 Division Division technique Multiply numerator and denominator by the conjugate of the denominator What is the conjugate?

Take the second part of the complex number and make it the opposite 11 Division 3i 3i 5 2i 5 2i 5 2i 5 2i 15i 6i 2 25 4i 2

6 15i 6 15 i 29 29 29 12 Lets Practice WS 1.3 Classwork Evens

Homework - Odds 13