Imaginary Numbers & Add/Subtract Complex Numbers

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What is the definition of 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 does the imaginary unit 'i' represent?

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How do you add two complex numbers, for example, (3 + 2i) + (4 - 5i)?

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Combine the real parts and the imaginary parts: (3 + 4) + (2i - 5i) = 7 - 3i.

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How do you subtract two complex numbers, for example, 3i - (4 + 7i)?

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Distribute the negative sign and combine: 3i - 4 - 7i = -4 - 4i.

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What is the formula for adding complex numbers?

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If z1 = a + bi and z2 = c + di, then z1 + z2 = (a + c) + (b + d)i.