Algebra 2 - Simplifying the division of a real number by the imaginary unit i, -17/i

The video tutorial reviews basic operations like addition, subtraction, and multiplication, and discusses the properties of monomials. It explains why expressions with imaginary numbers in the denominator are not considered simplified and demonstrates how to simplify them by moving the imaginary unit to the numerator. The concept of equivalent fractions is introduced to support this explanation. Finally, the tutorial shows how to simplify expressions involving imaginary units, emphasizing the role of i squared.

Why is an expression with an imaginary number in the denominator not considered simplified?

• Because imaginary numbers are not real numbers.

• Because it is difficult to calculate with imaginary numbers.

• Because it does not make conceptual sense to divide a real number by an imaginary number.

• Because imaginary numbers are not allowed in mathematics.

What is the purpose of multiplying by 'i' over 'i' when simplifying an expression?

• To eliminate the imaginary unit from the denominator.

• To make the expression more complex.

• To convert the expression into a real number.

• To change the value of the expression.

How does multiplying by 'i' over 'i' affect the value of a fraction?

• It doubles the value of the fraction.

• It changes the value of the fraction.

• It halves the value of the fraction.

• It keeps the value of the fraction the same.

What is the result of multiplying 'i' by 'i'?

• -1

• 1

• 0

• i

What is the simplified form of -17i divided by -1?

• -17i

• 17

• 17i

• -17