Putting a complex number in standard form - Online Tutor

Putting a complex number in standard form - Online Tutor

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to write complex numbers in standard form. It begins by introducing the problem and identifying negative numbers under radicals. The instructor explains how to handle these by factoring and introduces the imaginary unit 'i'. The tutorial then demonstrates how to rewrite expressions and finalize complex numbers in standard form, emphasizing the importance of including both real and imaginary parts.

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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 -1

The square root of 2

The square root of 0

The square root of 1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can a negative number under a radical be expressed using the imaginary unit?

By subtracting 1

By multiplying by 2

By adding 1

By factoring out -1 and using 'i'

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct form of a complex number?

a / bi

a * bi

a - bi

a + bi

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression 3 + 4i, what is the real part?

7

i

4

3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should be included when writing a complex number in standard form?

Neither part

Only the real part

Both the real and imaginary parts with 'i'

Only the imaginary part