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Complex Numbers

Complex Numbers. Any number in form a+b i , where a and b are real numbers and i is imaginary. What is an imaginary number?. Definition of imaginary numbers:. Remember. Simplify complex numbers. 28. Answer: - i. Try these problems:. -15. i.

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Complex Numbers

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

  2. Definition of imaginary numbers:

  3. Remember Simplify complex numbers 28

  4. Answer: -i

  5. Try these problems: -15 i

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

  7. Try these on your own

  8. ANSWERS:

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

  10. Examples to do together:

  11. Lets do another example. F O I L Next

  12. 21-i Answer: Now try these:

  13. Next

  14. Answers:

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

  16. are said to be conjugates of each other.

  17. Lets do an example: Rationalize using the conjugate Next

  18. Reduce the fraction

  19. Lets do another example Next

  20. Try these problems.

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