Imaginary numbers

Front

What is an imaginary number?

Back

An imaginary number is a number that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.

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CCSS.HSN.CN.A.1

Front

What is the value of i^2?

Back

i^2 = -1.

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CCSS.HSN.CN.A.1

Front

Multiply: (2-5i)(2+5i)

Back

29.

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CCSS.HSN.CN.A.2

Front

Simplify √-45

Back

3i√5.

Front

Simplify: (10+ 15i)-(48 - 30i)

Back

-38 + 45i.

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CCSS.HSN.CN.A.2

Front

Simplify 2√-32

Back

8i√2.

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CCSS.HSN.CN.A.1

Front

What is the principal square root of -1?

Back

i.

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CCSS.HSN.CN.A.1

Front

What is the standard form of a complex number?

Back

A complex number is in standard form when expressed as a + bi, where a and b are real numbers.

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CCSS.HSN.CN.A.1

Front

How do you add complex numbers?

Back

To add complex numbers, combine the real parts and the imaginary parts separately.

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CCSS.7.NS.A.1C

Front

How do you multiply complex numbers?

Back

To multiply complex numbers, use the distributive property (FOIL) and apply the fact that i^2 = -1.

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CCSS.HSN.CN.A.2