Understanding Complex Numbers and Their Components

This video tutorial explains how to graph complex numbers on a plane. It begins with an introduction to complex numbers in standard form, a + bi, where a is the real part and bi is the imaginary part. The tutorial provides step-by-step instructions for plotting specific examples, such as 3 + 4i, 5 - 2i, and -3 + i, on the complex plane. The x-axis represents the real part, and the y-axis represents the imaginary part. By the end of the video, viewers will understand how to graph any complex number.

What is the standard form of a complex number?

• a + bi

• a - bi

• a * bi

• a / bi

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CCSS.HSN.CN.A.1

In the complex number 3 + 4i, what does the '3' represent?

• Magnitude

• Phase

• Real part

• Imaginary part

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CCSS.HSN.CN.B.4

How many units do you move up on the imaginary axis to plot 3 + 4i?

• 2 units

• 5 units

• 4 units

• 3 units

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CCSS.HSN.CN.A.1

When plotting 5 - 2i, how many units do you move on the x-axis?

• 4 units

• 3 units

• 5 units

• 2 units

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CCSS.HSN.CN.B.4

For the complex number -3 + 1i, in which direction do you move on the x-axis?

• Down

• Up

• Left

• Right

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CCSS.HSN.CN.A.1

What is the imaginary part of the complex number -3 + 1i?

• 4

• 0

• 1

• -3

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CCSS.HSN.CN.A.1