S i m p l i f y . . . . 4 5 i Simplify....\ \frac{4}{5i} S i m p l i f y . . . . 5 i 4

− 4 i 5 -\frac{4i}{5} − 5 4 i

A complex number can be expressed as a + bi. What does a represent?

depends on the sign of the number

the square root of the complex number

Leon is asked to simplify √-120. A good first step would be to...

replace the negative with an i on the outside of the radical

The complex conjugate can be found by...

Changing the sign of both a and b

If you are adding two complex numbers you should

add only the real numbers together and then add only the complex numbers together then stop

add all the numbers together then divide by 2

add only the real numbers and subtract the complex numbers

add only the complex numbers and subtract the real numbers

You can simplify powers of i by... (Choose all correct answers)

dividing the exponent by 4 then use the remainder to determine the value

multiplying the exponent by 3 and then subtracting 2

Like terms have ________.

the same variable at the same power

the same power but different variables

the same variable but different powers

Operations of Complex Numbers

Authored by Stacey Karpowicz-Boring

Mathematics

10th - 12th Grade

CCSS covered

Used 52+ times

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30 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What does i² = ?

-1

√-1

-√1

Tags

CCSS.HSN.CN.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the "real part" of the complex number (-2+7i)?

-2

-7i

Tags

CCSS.6.EE.A.2B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the "imaginary part" of the complex number (-2+7i)?

-2

-7i

Tags

CCSS.6.EE.A.2B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify i³⁷

-i

-1

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify i²⁴

-1

-i

Tags

CCSS.HSN.CN.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

-5i

5+i

-5

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

CCSS.HSN.CN.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify.

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\left(\sqrt{25}-2i\right)+\left(-7+2\sqrt{-16}\right)$

-2+6i

12+6i

-35-16i²

-35 -16i

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

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