Presentation is loading. Please wait.

Presentation is loading. Please wait.

Complex Numbers Any number in form a+bi, where a and b are real numbers and i is imaginary. What is an imaginary number?

Similar presentations


Presentation on theme: "Complex Numbers Any number in form a+bi, where a and b are real numbers and i is imaginary. What is an imaginary number?"— Presentation transcript:

1

2 Complex Numbers Any number in form a+bi, where a and b are real numbers and i is imaginary. What is an imaginary number?

3 Definition of imaginary numbers:

4 Simplify complex numbers Remember 28

5

6 Answer: -i

7 Try these problems: -15 i

8 When adding or subtracting complex numbers, combine like terms.

9 Try these on your own

10 ANSWERS:

11 Multiplying complex numbers. To multiply complex numbers, you use the same procedure as multiplying polynomials.

12 Examples to do together:

13 Lets do another example. FOIL Next

14 Answer: Now try these: 21-i

15 Next

16 Answers:

17 Conjugates In order to simplify a fractional complex number, use a conjugate. What is a conjugate?

18 are said to be conjugates of each other.

19 Lets do an example: Rationalize using the conjugate Next

20 Reduce the fraction

21 Lets do another example Next

22 Try these problems.

23


Download ppt "Complex Numbers Any number in form a+bi, where a and b are real numbers and i is imaginary. What is an imaginary number?"

Similar presentations


Ads by Google