Understanding Complex Numbers and Absolute Value

Understanding Complex Numbers and Absolute Value

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to find the absolute value of a complex number. It begins with a review of plotting complex numbers on a coordinate plane, identifying the real and imaginary parts. The absolute value is defined as the distance from the origin, calculated using the distance formula. The tutorial provides a step-by-step calculation of the absolute value for a given complex number, (-3,4), resulting in a value of 5. A shortcut method is also introduced, using the formula a^2 + b^2, to quickly find the absolute value.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the absolute value of a complex number?

Calculating the square root of the sum

Identifying the real and imaginary parts

Using the Pythagorean theorem

Plotting the number on a real number line

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When plotting a complex number, which axis represents the imaginary part?

X-axis

Y-axis

Z-axis

W-axis

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the absolute value of a complex number represent on the complex plane?

The angle with the real axis

The distance from the origin

The sum of the real and imaginary parts

The product of the real and imaginary parts

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to calculate the distance between two points on a plane?

Quadratic formula

Distance formula

Slope formula

Midpoint formula

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of the origin in the complex plane?

(0,0)

(1,1)

(-1,-1)

(2,2)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the absolute value of a complex number using the distance formula?

Square the real and imaginary parts, add them, and take the square root

Subtract the imaginary part from the real part

Add the real and imaginary parts

Multiply the real and imaginary parts

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the absolute value of the complex number (-3, 4)?

3

4

5

7

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