How do you simplify $$\frac{1}{i}$$ ?

To simplify $$\frac{1}{i}$$ , multiply the numerator and denominator by $$i$$ to get $$\frac{i}{i^2} = \frac{i}{-1} = -i$$ .

What is the result of $$-\frac{11}{9i}$$ ?

The result is $$\frac{11i}{9}$$ .

How do you add two complex numbers with imaginary parts that are opposites?

When adding two complex numbers with imaginary parts that are opposites, the imaginary parts cancel out. For example, $$(1 + 5i) + (1 - 5i) = 2$$ .

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

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

Why is the conjugate of a complex number important?

The conjugate is important because it is used in division of complex numbers and helps in rationalizing denominators.

Complex Numbers: Operations

Complex numbers: Operations

Flashcard

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Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSN.CN.A.2, HSN.CN.A.3, HSN.CN.A.1

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FLASHCARD QUESTION

Front

Define a complex number.

Back

Tags

CCSS.HSN.CN.A.1

FLASHCARD QUESTION

Front

What is the imaginary unit?

Back

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CCSS.HSN.CN.A.1

FLASHCARD QUESTION

Front

How do you add two complex numbers?

Back

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CCSS.HSN.CN.A.2

FLASHCARD QUESTION

Front

How do you subtract two complex numbers?

Back

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CCSS.HSN.CN.A.2

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSN.CN.A.2

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSN.CN.A.2

FLASHCARD QUESTION

Front

How do you multiply a complex number by a real number?

Back

Tags

CCSS.HSN.CN.A.2

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