Tutorial - Dividing complex numbers ex 18, 7/(8 + i)

Tutorial - Dividing complex numbers ex 18, 7/(8 + i)

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains how to divide complex numbers when the denominator is a binomial. It begins by highlighting common mistakes students make when transitioning from monomials to binomials. The tutorial introduces the concept of multiplying by the conjugate to eliminate the imaginary unit 'i' from the denominator. It demonstrates the application of the distributive property and the difference of squares to simplify the expression. The video concludes with a step-by-step calculation, resulting in the division of complex numbers in the form of a plus bi.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the distributive property apply when multiplying by the conjugate?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final form of the result when dividing complex numbers with a binomial denominator?

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