Add and Subtract Complex Numbers

Front

Define complex numbers.

Back

Complex numbers are numbers that have a real part and an imaginary part, expressed in the form a + bi, where a is the real part, b is the imaginary part, and i is the imaginary unit, defined as i = √(-1).

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CCSS.HSN.CN.A.1

Front

What is the formula for adding complex numbers?

Back

To add complex numbers (a + bi) and (c + di), combine the real parts and the imaginary parts: (a + c) + (b + d)i.

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CCSS.HSN.CN.A.2

Front

What is the formula for subtracting complex numbers?

Back

To subtract complex numbers (a + bi) and (c + di), subtract the real parts and the imaginary parts: (a - c) + (b - d)i.

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CCSS.HSN.CN.A.2

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CCSS.HSN.CN.A.2

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CCSS.HSN.CN.A.2

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CCSS.HSN.CN.A.2

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CCSS.HSN.CN.A.2

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CCSS.HSN.CN.A.2

Front

What is the imaginary unit 'i'?

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CCSS.HSN.CN.A.1

Front

What is the conjugate of a complex number?

Back

The conjugate of a complex number a + bi is a - bi.

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CCSS.HSN.CN.A.3