What is the difference between imanginary numbers and complex numbers

What is the difference between imanginary numbers and complex numbers

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial introduces the concept of imaginary units, represented by 'i', which is the square root of negative one. It explains imaginary numbers as multiples of 'i' with real coefficients, such as 5i. The tutorial then covers complex numbers, which are composed of a real part 'a' and an imaginary part 'bi'. The importance of writing complex numbers in the form a + bi is emphasized, along with examples and clarifications on how to handle subtraction in this context.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the imaginary unit 'i' defined as?

The square root of 2

The square root of 0

The square root of -1

The square root of 1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an example of an imaginary number?

3 + 4i

i + 1

5i

7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression 6i, what does the '6' represent?

A variable

An imaginary unit

A complex number

A real number

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How should complex numbers be written to receive full credit?

In the form a - bi

In the form bi + a

In the form a + bi

In the form a * bi

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the real part of the complex number 3 - 4i?

3

-4

4

i