Algebra 2 - Learn how to rewrite a complex number by division, -7/2i

The video tutorial covers simplifying expressions using division, focusing on imaginary numbers. It explains the concept of imaginary numbers, particularly the imaginary unit 'i', and how to eliminate it from the denominator. The tutorial also discusses creating equivalent fractions to maintain the value of expressions and concludes with a step-by-step calculation to demonstrate the process.

What is the main challenge when dividing with imaginary numbers?

• Imaginary numbers cannot be divided.

• Imaginary numbers are not real numbers.

• The imaginary unit 'i' needs to be eliminated from the denominator.

• Imaginary numbers are too complex to handle.

Why is 'i^2' preferred over 'i^4' when simplifying expressions with imaginary numbers?

• 'i^2' is easier to calculate.

• 'i^2' results in a real number, while 'i^4' does not.

• 'i^2' is more commonly used in mathematics.

• 'i^2' is simpler and more efficient for simplification.

What must be done to both the numerator and denominator to maintain equivalent fractions?

• Divide both by the same number.

• Multiply both by the same number.

• Add the same number to both.

• Subtract the same number from both.

In the example provided, what is the result of multiplying '-7i' by 'i'?

• -7

• -7i^2

• 7i

• -7i

What is the final simplified result of the example calculation?

• 7

• 7/2

• -7

• -7/2