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 sum of two complex numbers (a + bi) and (c + di)?

Back

The sum is (a + c) + (b + d)i.

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CCSS.HSN.CN.A.2

Front

What is the difference of two complex numbers (a + bi) and (c + di)?

Back

The difference is (a - c) + (b - d)i.

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CCSS.HSN.CN.B.4

Front

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

Back

12 + 3i.

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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: (1 + 3i) + (7 - 2i)

Back

8 + i.

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CCSS.HSN.CN.A.2

Front

What is the result of adding (5 + 4i) and (-1 - 2i)?

Back

6 + 6i.

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CCSS.HSN.CN.A.2

Front

What is the result of subtracting (4 - 7i) from (-3 + 6i)?

Back

1 - 13i.

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CCSS.HSN.CN.A.2

Front

Define the imaginary unit i.

Back

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

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CCSS.HSN.CN.A.1

Front

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

Back

The conjugate is a - bi.

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CCSS.HSN.CN.A.3