What is the result of $$(5 + 9i) - (2 + 4i)$$ ?

$$(5 + 9i) - (2 + 4i) = 3 + 5i$$ .

What is the result of $$(8 + 7i) - (6 + 3i)$$ ?

$$(8 + 7i) - (6 + 3i) = 2 + 4i$$ .

What is the general form of a complex number?

A complex number is expressed in the form $$a + bi$$ , where $$a$$ is the real part and $$b$$ is the imaginary part.

How do you combine real and imaginary parts in addition?

When adding complex numbers, add the real parts and the imaginary parts separately. For example, $$(2 + 3i) + (4 + 5i) = (2 + 4) + (3 + 5)i = 6 + 8i$$ .

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

$$(2 + 3i) + (4 + 5i) = 6 + 8i$$ .

What happens when you add a real number to an imaginary number?

The result is a complex number. For example, $$2 + 3i$$ is a complex number where 2 is the real part and 3i is the imaginary part.

What is the result of $$(3 + 2i) + (1 - 4i)$$ ?

$$(3 + 2i) + (1 - 4i) = (3 + 1) + (2 - 4)i = 4 - 2i$$ .

What is the significance of imaginary numbers in mathematics?

Imaginary numbers are used to solve equations that do not have real solutions, such as $$x^2 + 1 = 0$$ , and they are essential in fields like engineering, physics, and complex analysis.

adding and subtracting imaginary numbers Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an imaginary number?

Back

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.

2.

FLASHCARD QUESTION

Front

What is the imaginary unit 'i'?

Back

3.

FLASHCARD QUESTION

Front

How do you add two imaginary numbers?

Back

4.

FLASHCARD QUESTION

Front

How do you subtract two imaginary numbers?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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