Complex Numbers: Simplifying, adding and subtracting

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What is a complex number?

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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, defined as i = √(-1).

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CCSS.HSN.CN.A.1

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What is the imaginary unit 'i'?

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The imaginary unit 'i' is defined as the square root of -1, i.e., i = √(-1). It is used to extend the real number system to include solutions to equations that do not have real solutions.

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CCSS.HSN.CN.A.1

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What is the result of adding two complex numbers, such as (a + bi) + (c + di)?

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The result is (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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What is the result of subtracting two complex numbers, such as (a + bi) - (c + di)?

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The result is (a - c) + (b - d)i.

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CCSS.HSN.CN.B.4

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