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The importance of practice
A number and its conjugate are mirror images with respect to the real axis
Subtracting complex numbers
Ordering complex numbers
The absolute value of a complex number
The modulus is always greater than or equal to zero
Dividing two complex numbers
Remarks and properties
Proving using properties of the modulus and conjugate
De Moivre's formulas
Intro
Using the modulus of a complex number
Using the fact that the conjugate of a sum is the conjugate of each term
Regular Multiplication
Use a property of complex numbers
Using the real part identity
Writing the inner terms as complex numbers and conjugates
Showing that the conjugate of a product is the product of the conjugates
The modulus of a product is the product of the moduluses
Conclusion