Add and Subtract Complex Numbers

Front

Define complex numbers.

Back

Complex numbers are numbers that have a real part and an imaginary part, expressed in the form a + bi, where a is the real part, b is the imaginary part, and i is the imaginary unit, defined as i = √(-1).

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CCSS.HSN.CN.A.1

Front

What is the formula for adding complex numbers?

Back

To add two complex numbers, (a + bi) and (c + di), you combine the real parts and the imaginary parts: (a + c) + (b + d)i.

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CCSS.HSN.CN.A.2

Front

What is the formula for subtracting complex numbers?

Back

To subtract two complex numbers, (a + bi) and (c + di), you subtract the real parts and the imaginary parts: (a - c) + (b - d)i.

Tags

CCSS.HSN.CN.A.2

Front

Simplify the expression: (1 + 5i) + (1 - 5i)

Back

2.

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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: (10 + 15i) - (48 - 30i)

Back

-38 + 45i.

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CCSS.HSN.CN.A.2

Front

Simplify the expression: (5 + 14i) - (10 + 2i)

Back

-5 + 12i.

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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

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1, i.e., i = √(-1).

Tags

CCSS.HSN.CN.A.1

Front

What is the real part of a complex number?

Back

The real part of a complex number a + bi is the value 'a'.

Tags

CCSS.HSN.CN.A.1