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Published byDavid Hunt Modified over 9 years ago
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CPM Section 9.4B “Imaginary Numbers
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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, ___. ___ ___
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A complex number is a number of the form a+bi where “a” and “b” are real numbers. The number “a” is the ______________ of the complex number and “b” is the ________________. If b=0, then a+bi is a _______________________. If a=0, then a+bi is a _______________________. If and, then a+bi is a _______________________.
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The figure to the below illustrates the relationship between these sets. When adding or subtracting complex number _______________________________. When multiplying complex numbers ___________ or use the __________________. Complex Numbers Imaginary Numbers Real NumbersPure Imaginary Combine like parts FOILdistributive property
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Use the conjugate to rationalize the denominator
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