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1.2 (M2) Warm Up

1.2 (M2) Warm Up. Write the complex number in standard form. 1. 2. 3. . 1.2 (M2) Add & Subtract Complex Numbers. Add Complex numbers . (7 – i) + (5 + 3i) Group like terms. (7 + 5) + (-i + 3i) Simplify. 12 + 2i. Examples . . . . (8 – 2i) + (2 – 3i) (7 + i) + (4 – 2i)

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1.2 (M2) Warm Up

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  1. 1.2 (M2) Warm Up Write the complex number in standard form. 1. 2. 3.

  2. 1.2 (M2) Add & Subtract Complex Numbers

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

  4. Examples . . . • (8 – 2i) + (2 – 3i) • (7 + i) + (4 – 2i) • (12 – 4i) + (3 + 9i)

  5. 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

  6. Examples . . . 4. (6 – 4i) – (2 + 4i) 5. (8 + 2i) – (9 + 3i) 6. (2 + i) – (12 – 6i)

  7. Add & Subtract Complex Numbers • Distribute any negatives outside of parentheses. • Group like terms. • Simplify. • Make sure answer is written in standard form. (real # 1st and complex # 2nd)

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

  9. d. 4i + (-3 + 3i) + 12 Group like terms. (-3 + 12) + (4i + 3i) Simplify. 9 + 7i

  10. Examples . . . 7. 8 – (2 + 3i) + 9i 8. 4 – (9 + 3i) – 6i 9. -5i + (8 + i) + 3

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