Multiplying Complex Numbers

Front

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

Back

The real part of the complex number.

Tags

CCSS.HSN.CN.A.1

Front

What is the product of (i)(3i)?

Back

-3.

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CCSS.HSN.CN.A.2

Front

What is the product of (2i)(3i)?

Back

-6.

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CCSS.HSN.CN.A.2

Front

Simplify: 3√-81

Back

27i.

Front

What is the result of (-3-i)(6-i)?

Back

-19-3i.

Tags

CCSS.HSN.CN.A.2

Front

Define a complex number.

Back

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

Tags

CCSS.HSN.CN.A.1

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Tags

CCSS.HSN.CN.A.1

Front

How do you multiply two complex numbers (a + bi)(c + di)?

Back

(ac - bd) + (ad + bc)i.

Tags

CCSS.HSN.CN.A.2

Front

What is the result of (1 + 2i)(1 - 2i)?

Back

5.

Tags

CCSS.HSN.CN.C.8

Front

What is the modulus of a complex number a + bi?

Back

√(a² + b²).