Tutorial - Dividing complex numbers ex 16, 7/2i

The video tutorial explains how to handle division by a complex number by multiplying both the numerator and denominator by the imaginary unit 'I'. This process is demonstrated through an example of equivalent fractions, leading to a final calculation where 'I squared' is used to simplify the expression. The tutorial concludes with the final result of the division.

Why is it necessary to eliminate the complex number from the denominator when dividing?

• To change the value of the expression

• To make the denominator zero

• To make the numerator larger

• To simplify the expression

What is the purpose of multiplying both the numerator and denominator by 'i'?

• To make the fraction negative

• To keep the fraction equivalent while eliminating the complex number

• To change the fraction to a whole number

• To increase the value of the fraction

In the example given, what does multiplying 2/2 achieve?

• It keeps the fraction equivalent

• It changes the fraction to a different value

• It makes the fraction larger

• It makes the fraction smaller

What does 'i squared' represent in the calculation?

• Positive 1

• Zero

• Negative 1

• Positive 2

What is the final simplified form of the expression?

• 7 divided by 2i

• -7i divided by 2

• 7i divided by 2

• -7 divided by 2i