Imaginary and Complex Numbers

Imaginary and Complex Numbers

Assessment

Flashcard

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSN.CN.A.1, HSN.CN.A.2, HSN.CN.B.4

+2

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the square root of a negative number represented as?

Back

The square root of a negative number is represented using the imaginary unit 'i', where √-a = i√a.

2.

FLASHCARD QUESTION

Front

How do you simplify √-108?

Back

√-108 = √(108) * √(-1) = 6i√3.

3.

FLASHCARD QUESTION

Front

What is the standard form of a complex number?

Back

The standard form of a complex number is written as a + bi, where 'a' is the real part and 'bi' is the imaginary part.

Tags

CCSS.HSN.CN.A.1

4.

FLASHCARD QUESTION

Front

What is the imaginary part of the complex number a + bi?

Back

The imaginary part is 'bi'.

Tags

CCSS.HSN.CN.A.1

5.

FLASHCARD QUESTION

Front

How do you multiply two complex numbers (4 + 3i)(4 - 3i)?

Back

(4 + 3i)(4 - 3i) = 4^2 - (3i)^2 = 16 - (-9) = 25.

Tags

CCSS.HSN.CN.C.8

6.

FLASHCARD QUESTION

Front

What is the result of adding two complex numbers (5 - 2i) + (-7 + 8i)?

Back

The result is (-2 + 6i).

Tags

CCSS.HSN.CN.A.2

7.

FLASHCARD QUESTION

Front

What is the value of i^2?

Back

i^2 = -1.

Tags

CCSS.HSN.CN.A.1

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