Simplify Imaginary Numbers

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What is an imaginary number?

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An imaginary number is a complex 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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CCSS.HSN.CN.A.1

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What is the value of i?

Back

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CCSS.HSN.CN.A.1

Front

What is the value of i^2?

Back

The value of i^2 is -1.

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CCSS.HSN.CN.A.1

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CCSS.HSN.CN.A.1

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Front

What is the relationship between real numbers and imaginary numbers?

Back

Real numbers can be represented on a number line, while imaginary numbers are represented on a perpendicular axis, forming a complex plane.

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CCSS.HSN.CN.A.1

Front

What is a complex number?

Back

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

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CCSS.HSN.CN.A.1

Front

How do you add complex numbers?

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

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CCSS.7.NS.A.1C