Adding and Subtracting Complex Numbers

Front

What is 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^2 = -1.

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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. For example, (a + bi) + (c + di) = (a + c) + (b + d)i.

Tags

CCSS.HSN.CN.A.2

Front

How do you subtract two complex numbers?

Back

To subtract two complex numbers, subtract their real parts and their imaginary parts separately. For example, (a + bi) - (c + di) = (a - c) + (b - d)i.

Tags

CCSS.HSN.CN.A.2

Front

Calculate: (1 - 2i) + (-4 + 2i)

Back

-3.

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CCSS.HSN.CN.A.2

Front

Calculate: (4 - 7i) - (-3 + 6i)

Back

7 - 13i.

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CCSS.HSN.CN.A.2

Front

Simplify the expression: (8 + 9i) + (4 - 6i)

Back

12 + 3i.

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CCSS.HSN.CN.A.2

Front

Simplify: (1 + 6i) + (6 - 2i) - (-7 + 5i)

Back

14 - i.

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CCSS.HSN.CN.A.2

Front

Calculate: (5 - 2i) + (-7 + 8i)

Back

-2 + 6i.

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CCSS.HSN.CN.A.2

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1, which means i^2 = -1.

Tags

CCSS.HSN.CN.A.1

Front

What is the conjugate of a complex number?

Back

The conjugate of a complex number a + bi is a - bi. It is used in various operations, including division.

Tags

CCSS.HSN.CN.A.3