Complex Numbers and Their Operations

Interactive Video

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSN.CN.A.1, HSN.CN.A.2, HSN.CN.C.8

Standards-aligned

Mia Campbell

FREE Resource

Standards-aligned

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.C.8

The video tutorial explains how to simplify expressions involving complex numbers. It begins by introducing the concept of complex numbers and the imaginary unit i, where i is the square root of negative one. The tutorial then demonstrates how to simplify expressions by substituting i squared with negative one. It covers combining like terms by adding real and imaginary parts separately. The process of subtracting complex numbers is also explained, leading to a final simplification of the expression to a complex number in the form of a + bi.

5 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the imaginary unit 'i'?

i equals 1

i equals the square root of negative one

i equals negative one

i equals 0

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of substituting 'i' squared with negative one in the expression 8i - 3(-1)?

8i - 3

8i + 3

8i - 3i

8i + 3i

Tags

CCSS.HSN.CN.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After removing parentheses and combining like terms, what is the real part of the expression?

Tags

CCSS.HSN.CN.C.8

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the imaginary part of the expression after simplification?

Tags

CCSS.HSN.CN.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the complex number?

7 + 6i

7 + 2i

3 + 2i

3 + 8i

Tags

CCSS.HSN.CN.A.1

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