Imaginary and Complex Numbers Flashcard

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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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What is a complex number?

Back

A complex number is a number that has a real part and an imaginary part, expressed in the form a + bi, where a is the real part and b is the imaginary part.

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Front

What is the result of combining the imaginary numbers -4i and 7i?

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The result is 3i.

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What is the product of the complex numbers (-2 + 7i) and (-2 + 2i)?

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The product is -10 - 18i.

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What is the product of the complex numbers (-5 - 5i) and (1 + 5i)?

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The product is 20 - 30i.

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

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The conjugate is a - bi.

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

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