Algebra 2 Companion Book, Volume 1

5.2.3 Operations with Complex Numbers - Worksheet

Example 1: Graph each complex number . 1. 4 2. − i

3. 3 + 2 i

4. − 2 − 3 i

Example 2: Find each absolute value. 5. | 4 − 5 i|

6. | − 33.3 |

7. | − 9 i|

8. | 5 + 12 i|

9. | − 1 + i|

10. | 15 i|

Example 3: Add or subtract. Write the result in the form a + bi . 11. (2 + 5 i ) + ( − 2 + 5 i ) 12. ( − 1 − 8 i ) + (4 + 3 i )

13. (1 − 3 i ) − (7 + i )

14. (4 − 8 i ) + ( − 13 + 23 i )

15. (6 + 17 i ) − (18 − 9 i )

16. ( − 30 + i ) − ( − 2 + 20 i )

Example 4: Find each sum by graphing on the complex plane. 17. (3 + 4 i ) + ( − 2 − 4 i )

18. ( − 2 − 5 i ) + ( − 1 + 4 i )

19. ( − 4 − 4 i ) + (4 + 2 i )

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