Pre-Calculus - Rewriting a complex number without i on the denominator (6-5i) / i

The video tutorial addresses a common question about simplifying expressions with the imaginary unit 'i' in the denominator. It explains the necessity of removing 'i' by using its conjugate and highlights common mistakes students make, such as forgetting to apply the distributive property. The tutorial emphasizes the importance of writing complex numbers in standard form and provides a step-by-step solution to ensure accuracy.

What is the value of i squared?

• 0

• i

• 1

• -1

Why is it necessary to multiply by i/i when simplifying a complex fraction?

• To add more terms to the expression

• To change the sign of the numerator

• To eliminate 'i' from the denominator

• To make the fraction larger

What common mistake do students make when multiplying complex numbers?

• Not applying the distributive property

• Ignoring the real part

• Forgetting to add the terms

• Multiplying by zero

What is the correct form to write a complex number?

• a * bi

• a - bi

• a + bi

• a / bi

What is the final corrected form of the expression 6i + 5 divided by -1?

• -6i + 5

• 5 + 6i

• 6i - 5

• -5 - 6i