CPM Section 9.4B “Imaginary Numbers

1. CPMSection 9.4B“Imaginary Numbers

2. Until now, we have limited ourselves to the set of real numbers. Thus, when we had the square root of a negative number, we had NO SOLUTION. To overcome this problem, mathematicians created an expanded set of numbers using the IMAGINARY UNIT, ___. ___ ___ ___ ___

3. A complex number is a number of the form a+biwhere “a” and “b” are real numbers. The number “a” is the ______________ of the complex number and “b” is the ________________. If b=0, then a+biis a _______________________. If a=0, then a+biis a _______________________. If and , then a+biis a _______________________.

4. The figure to the below illustrates the relationship between these sets. When adding or subtracting complex number _______________________________. When multiplying complex numbers ___________ or use the __________________. Combine like parts FOIL distributive property

6. Use the conjugate to rationalize the denominator