Imaginary Numbers

Front

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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CCSS.HSN.CN.A.1

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as i = √(-1). It is used to represent the square root of negative numbers.

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CCSS.HSN.CN.A.1

Front

What is the sum of (5 - 2i) + (-7 + 8i)?

Back

-2 + 6i

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CCSS.HSN.CN.A.2

Front

What is the sum of (1 - 2i) + (-4 + 2i)?

Back

-3

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CCSS.HSN.CN.A.2

Front

What is the result of simplifying 2i - 7i + 10?

Back

10 - 5i

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CCSS.HSN.CN.A.2

Front

What is the product of (1 - 2i)(6 + 5i)?

Back

16 - 7i

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CCSS.HSN.CN.A.2

Front

How do you add two complex numbers?

Back

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

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CCSS.7.NS.A.1C

Front

How do you subtract two complex numbers?

Back

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

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CCSS.HSN.CN.A.2

Front

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

Back

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

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CCSS.HSN.CN.A.3

Front

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

Back

The modulus of a complex number a + bi is given by √(a² + b²).