Complex Number Introduction

• 10
• -10
• 10i
• -10i

Simplify:
i⁷

• i

• -i

• 1

• -1

Tags

CCSS.HSN.CN.A.2

(5-2i) + (-7+8i)

• -2+6i

• 12+6i

• -35-16i²

• -35 -16i

Tags

CCSS.HSN.CN.A.2

Multiply: 
(4 – 3i)(-7 – 2i)

•   -23 + 13i

•   -23 - 29i

•   -34 + 13i

•   -34 - 29i

Tags

CCSS.HSN.CN.A.2

What is a complex number?

• A number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit.

• A number that can only be expressed in the form a - bi

• A number that has no real part

• A number that can only be expressed in the form a + bi

Answer explanation

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit. This choice correctly defines a complex number.

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CCSS.HSN.CN.A.1

Match the complex conjugate pairs:

• -x+2i

• 5-6i

• x-2i

• x+2i

• 5+6i

• -5-6i

• -5+6i

• -x-2i

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CCSS.HSN.CN.A.3

Simplify.

• -5i

• 5

• 5i

• -5

Multiply: 
(4 – 3i)(-7 – 2i)

•   -23 + 13i

•   -23 - 29i

•   -34 + 13i

•   -34 - 29i

Tags

CCSS.HSN.CN.A.2

Simplify:  (10+ 15i) - (3 - 3i)

• 13+2i

• 13+18i

• 7+2i

• 7+18i

Tags

CCSS.HSN.CN.A.2

(-5+2i)²

• 21+20i

• 41

• 21-20i

• 29

Tags

CCSS.HSN.CN.C.8