Complex Numbers and Their Operations

This video tutorial introduces imaginary numbers, focusing on the imaginary unit i and its properties. It explains how to simplify powers of i using multiples of 4, and covers operations such as addition, subtraction, multiplication, and division of imaginary numbers. The video also demonstrates solving equations involving complex numbers, including those with imaginary solutions. Finally, it shows how to plot complex numbers and calculate their absolute value.

What is the value of i squared?

• 0

• i

• 1

• -1

Tags

CCSS.HSN.CN.A.2

How can i to the seventh power be simplified?

• -1

• -i

• 1

• i

Tags

CCSS.HSN.CN.A.2

What is the result of i to the 26th power?

• i

• -i

• 1

• -1

Tags

CCSS.HSN.CN.A.2

When adding 5(2 + 3i) - 4(7 - 2i), what is the real part of the result?

• 5

• -18

• 10

• 28

Tags

CCSS.HSN.CN.A.1

What is the imaginary part of the expression 5(2 + 3i) - 4(7 - 2i)?

• 23i

• 15i

• 3i

• 8i

What is the result of multiplying (5 + 3i) and (8 - 2i)?

• 40 - 15i

• 46 - i

• 40 + 15i

• 46 + i

Tags

CCSS.HSN.CN.A.3

How do you simplify 3 + 2i divided by 4 - 3i?

• Multiply by 3 + 4i

• Multiply by 3 - 4i

• Multiply by 4 + 3i

• Multiply by 4 - 3i

Tags

CCSS.HSN.CN.A.1

What is the value of x in the equation 4x + 3i = 12 - 15yi?

• 12

• 15

• 3

• 4

What are the solutions for x in the equation x^2 + 36 = 0?

• 6i

• 6

• 6i and -6i

• -6

What is the absolute value of the complex number 4 + 3i?

• 7

• 4

• 5

• 3