This document provides an overview of imaginary and complex numbers. It defines imaginary numbers as numbers whose squared value is a real number greater than zero. Complex numbers are defined as numbers of the form a + bi, where a and b are real numbers and i = √-1. Examples are provided of adding, subtracting, multiplying, and dividing complex numbers. Homework is assigned from the textbook on these topics.

1. Algebra 2/Trigonometry
Imaginary “i” &
Complex Numbers
Mrs. Crespo SJHS 2013-2014

2. What number multiplied by itself two times equals the radicand?
What is the square root of the following?
How about this?
Talk about square roots…
Rafael
Bombelli
• imaginary number
• there is no number on
the number line that can
be squared to make -1
Renee
Descartes

4. Examples: P171

5. SIMPLIFY
A: P208

8. SIMPLIFY

9. CalculatorA: P208
Write the sum or difference in terms of i.

10. Your turn.

11. Your turn.Simplify

12. An imaginary number is a complex number whose
squared value is a real number greater than zero.

13. A COMPLEX NUMBER IS A NUMBER OF THE FORM
a + bi
WHERE a AND b ARE REAL NUMBERS AND i =

14. graph

15. graph

16. Simplify (Add)
(4+3i)+(2+5i) Your Turn: (3-5i)+(2+i)

17. Simplify (Subtract)
(6+7i) - (2+3i) Your Turn: (10-12i) - (12+7i)

18. Simplify (Multiply)
(6+7i)(2+3i) Your Turn:
(10-12i)(12+7i)
9(4+6i)

19. Simplify Imaginary Terms (Divide)

20. Complex Numbers and Conjugates
Complex Number
– 4 + 2i
– 10 – 6i
– 7i + 5
Complex Conjugate

21. Simplify (Divide with Conjugates)
(1+i) ÷ (3+2i) Your Turn: (10+6i) ÷ (5-4i)

22. Homework
Posted in Moodle
Front & Back of Class
AMSCO Txtbook
Pages 208, 215,241

24. PowerPoint by
Mrs. Crespo
SJHS 2013-2014