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Pre- calc day 4

Pre- calc day 4. The complex number system. Part ii. Identify the numbers below as rational or irrational numbers. Rational. Rational. I r r a t i o n a l. Rational. Rational. Complex numbers.

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Pre- calc day 4

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  1. Pre-calc day 4

  2. The complex number system Part ii

  3. Identify the numbers below as rational or irrational numbers Rational Rational Irrational Rational Rational

  4. Complex numbers Any number of the form a+bi, where a and b are real numbers and i is the imaginary unit is called a complex number. a is the called the real part and b is called the imaginary part. If b≠0, the number is called an imaginary number.

  5. Numbers Complex numbers a + bi Real numbers Imaginary numbers

  6. The Number System Insert at least two examples for each level.

  7. Imaginary unit The imaginary unit is i which has the following properties: Now try these

  8. Square root of negative numbers: =6i = =

  9. Example

  10. Add: (2+3i)+(4+5i) Multiply (2+3i)(4+5i)= Examples

  11. Method: rationalize the denominator Process: multiply numerator and denominator by the complex conjugate of 4+3i. Dividing; express in form of a+bi.

  12. Reminder: Reminder: write final answer in form

  13. = simplify

  14. Peruse the ch.1 summary, vocabulary list, and chapter test , starting on page 48. Homework

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