Complex Numbers and Operations with Complex Numbers

Front

What is the standard form for a complex number?

Back

The standard form of a complex number is a + bi, where a is the real part and b is the imaginary part.

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CCSS.HSN.CN.A.1

Front

Simplify (-9 + 5i) + (3 - 2i)

Back

The simplified form is -6 + 3i.

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CCSS.HSN.CN.A.2

Front

What is the result of -6i + 3i?

Back

The result is -3i.

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CCSS.HSN.CN.A.2

Front

Simplify (4 + 2i) - (5 - 7i) + (-6 + 9i)

Back

The simplified form is -7 + 18i.

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CCSS.HSN.CN.A.2

Front

What is the complex conjugate of 4 - 3i?

Back

The complex conjugate is 4 + 3i.

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CCSS.HSN.CN.A.3

Front

Define a complex number.

Back

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 = sqrt(-1).

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CCSS.HSN.CN.A.1

Front

What is the imaginary unit 'i'?

Back

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CCSS.HSN.CN.A.1

Front

How do you add two complex numbers?

Back

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

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CCSS.7.NS.A.1C

Front

What is the result of (2 + 3i) + (4 + 5i)?

Back

The result is 6 + 8i.

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CCSS.HSN.CN.A.2

Front

What is the product of (1 + 2i) and (3 + 4i)?

Back

The product is -5 + 10i.

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CCSS.HSN.CN.C.8