Complex Numbers and Their Operations

Complex Numbers and Their Operations

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

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

Standards-aligned

Created by

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.

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5 questions

Show all answers

1.

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

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

7

4

8

3

Tags

CCSS.HSN.CN.C.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the imaginary part of the expression after simplification?

2i

6i

8i

4i

Tags

CCSS.HSN.CN.A.1

5.

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