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Section 1.2 Adding & Subtracting Complex Numbers

Section 1.2 Adding & Subtracting Complex Numbers. JANUARY 7 TH 2011. 1.1 Review…. Remember STANDARD FORM a + bi Can’t combine real + imaginary We can reduce radicals though. Warm Up: 1.1 Review. Write the complex number in standard form. 1. 2. 3. Finding x & y (from Section 1.1).

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Section 1.2 Adding & Subtracting Complex Numbers

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  1. Section 1.2Adding & Subtracting Complex Numbers JANUARY 7TH 2011

  2. 1.1 Review… • Remember STANDARD FORM • a + bi • Can’t combine real + imaginary • We can reduce radicals though

  3. Warm Up: 1.1 Review Write the complex number in standard form. 1. 2. 3.

  4. Finding x & y (from Section 1.1)

  5. Add Complex numbers • (7 – i) + (5 + 3i) Group like terms. (7 + 5) + (-i + 3i) Simplify. 12 + 2i

  6. Examples . . . 1. (8 – 2i) + (2 – 3i) 10 – 5i 2. (7 + i) + (4 – 2i) 11 – i

  7. Examples (3 + 5i) + (2 – 7i) (12 – 3i) + (2 + 4i) (13 +24i) + (17+ 5i) (3 – 6i) + (5 – 2i) (8 – 3i) + (4 – 11i)

  8. Test Prep Example What is (5 – 2i) + (6 + 4i)? -3i 3i 11 + 2i 11 + 6i

  9. Subtract Complex numbers b. (5 – i) – (8 + 3i) Distribute the negative. (5 – i) + (-8 – 3i) Group like terms. (5 – 8) + (-i – 3i) Simplify. -3 – 4i

  10. Examples . . . 3. (6 – 4i) – (2 + 4i) 4 – 8i 4. (8 + 2i) – (9 – 3i) -1 + 5i

  11. Examples (6 + 7i) – (4 + 3i) (8 + 2i) – (3 – 7i) (12 – 7i) – (2 + 6i) (3 – 8i) – (7 – 11i)

  12. Test Prep Example • Perform the indicated operation. (-9 + 2i) – (-12 + 4i) = • -21 – 6i • -3 + 6i • 3 – 2i • 21 + 2i

  13. Multiple Steps… c. 11 – (8 + 7i) + 3i Distribute negative. 11 – 8 – 7i + 3i Group like terms. (11 – 8) + (-7i + 3i) Simplify. 3 – 4i

  14. Examples . . . 5. 8 – (2 + 3i) + 9i 6 + 6i 6. 4 – (9 + 3i) – 6i -5 – 9i

  15. 1.2 CLASSWORK • p. 8…#’s 6-24 Even • We will go over the answers when you are finished.

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