Complex Numbers

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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 product of (2i)(3i)?

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The product of (2i)(3i) is -6.

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CCSS.HSN.CN.A.2

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How do you find the sum of (5-2i) + (-7+8i)?

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The sum is -2 + 6i.

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CCSS.HSN.CN.A.2

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

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

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CCSS.HSN.CN.A.3

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How do you add two complex numbers?

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

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CCSS.7.NS.A.1C

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

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