Complex Number Field Properties

1

• Complex Number Field Properties

2
Objective

• Identify complex number field properties
• gt closure gt equality
• gt commutative for addition /
  multiplication
• gt associative for addition /
  multiplication
• gt distributive gt additive
  identity
• gt additive inverse gt multiplicative
  identity
• gt multiplicative inverse

3
Closure Property

• Any algebraic operations of complex numbers
  result in a complex number.

4
Closure Property

• Any algebraic operations of complex numbers
  result in a complex number.

5
Closure Property

• Any algebraic operations of complex numbers
  result in a complex number.

6
Equality Property

• Complex numbers are equal if and only if the real
  parts and the imaginary parts are separately
  equal.

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Commutative Property for Addition
Ex
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Commutative Property for Multiplication
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Associative Property for Addition
10
Associative Property for Multiplication
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Distributive Property
12
Additive Identity Property
13
Additive Inverse Property
14
Multiplicative Identity Property
15
Multiplicative Inverse Property