1. Complex Number Field Properties

2. Identify complex number field properties
Objective:
Identify complex number field properties
> closure > equality
> commutative for addition / multiplication
> associative for addition / multiplication
> distributive > additive identity
> additive inverse > multiplicative identity
> multiplicative inverse

3. Closure Property
Any algebraic operations of complex numbers result in a complex number.
Ex:
Ex:

4. Closure Property
Any algebraic operations of complex numbers result in a complex number.
Ex:

5. Closure Property
Any algebraic operations of complex numbers result in a complex number.
Ex:

6. Equality Property
Complex numbers are equal if and only if the real parts and the imaginary parts are separately equal.

7. Commutative Property for Addition
Ex:

8. Commutative Property for Multiplication
Ex:

9. Associative Property for Addition
Ex:

10. Associative Property for Multiplication
Ex:

11. Distributive Property
Ex:

12. Additive Identity Property
Ex:

13. Additive Inverse Property
Ex:

14. Multiplicative Identity Property
Ex:

15. Multiplicative Inverse Property
Ex: