Imaginary numbers, Add Subtract Complex 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 standard form of a complex number?

Back

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

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CCSS.HSN.CN.A.1

Front

How do you add two complex numbers?

Back

To add two complex numbers, add their real parts and their imaginary parts separately.

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CCSS.7.NS.A.1C

Front

Calculate: (4 − 7i) − (-3 + 6i)

Back

7 − 13i

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CCSS.HSN.CN.A.2

Front

What is the result of subtracting complex numbers?

Back

To subtract complex numbers, subtract their real parts and their imaginary parts separately.

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CCSS.HSN.CN.A.2

Front

Calculate: -12i + 7i

Back

-5i

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CCSS.HSN.CN.A.2

Front

What is the result of multiplying a real number by an imaginary number?

Back

The result is an imaginary number.

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CCSS.HSN.CN.C.8

Front

Simplify: -4√-63

Back

-12i√7

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as √-1.

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CCSS.HSN.CN.A.1

Front

How do you simplify complex expressions?

Back

Combine like terms by adding or subtracting the real parts and the imaginary parts.

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CCSS.HSN.CN.A.2