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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
1.2 (M2) Warm Up

Write the complex number in standard form.

1.

2.

3.

add complex numbers
Add Complex numbers
  • (7 – i) + (5 + 3i)

Group like terms.

(7 + 5) + (-i + 3i)

Simplify.

12 + 2i

examples
Examples . . .
  • (8 – 2i) + (2 – 3i)
  • (7 + i) + (4 – 2i)
  • (12 – 4i) + (3 + 9i)
subtract complex numbers
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

examples6
Examples . . .

4. (6 – 4i) – (2 + 4i)

5. (8 + 2i) – (9 + 3i)

6. (2 + i) – (12 – 6i)

add subtract complex numbers
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)
slide8
c. 11 – (8 + 7i) + 3i

Distribute negative.

11 – 8 – 7i + 3i

Group like terms.

(11 – 8) + (-7i + 3i)

Simplify.

3 – 4i

slide9
d. 4i + (-3 + 3i) + 12

Group like terms.

(-3 + 12) + (4i + 3i)

Simplify.

9 + 7i

examples10
Examples . . .

7. 8 – (2 + 3i) + 9i

8. 4 – (9 + 3i) – 6i

9. -5i + (8 + i) + 3