Exploring Multiplication and Division of Signed Numbers

This video tutorial by Kirk Weiler covers unit 2 lesson 10 on multiplying and dividing signed numbers. It extends the topic to include exponents and fractions involving negative numbers. The lesson explains how to handle negative bases raised to various powers, emphasizing the importance of parentheses in expressions. It also covers plotting negative fractions on a number line and simplifying fractions with negative numerators or denominators. The video concludes with a summary of key concepts, including the rules for multiplying and dividing signed numbers and the impact of exponents on negative bases.

What is the result when you multiply two negative numbers?

• Zero

• Positive

• Negative

• Undefined

What is the result of raising -2 to the power of 3?

• -4

• 4

• 8

• -8

What happens when you raise a negative number to an even power?

• The result is always positive

• The result is undefined

• The result is zero

• The result is always negative

What is the result of raising -3 to the power of 4?

• -81

• 27

• 81

• -27

How should you handle negative numbers raised to powers to avoid confusion?

• Only use positive numbers

• Convert to fractions

• Always use parentheses around the negative number

• Ignore the negative sign

Where would you plot -1/2 on a number line?

• To the left of zero by one unit

• At zero

• To the right of zero

• To the left of zero by half a unit

What is the simplified form of the fraction -8/6?

• -2/3

• 4/3

• 2/3

• -4/3

What is the result of dividing a positive number by a negative number?

• Undefined

• Zero

• Negative

• Positive

What is the simplified form of the fraction -27/15?

• -3/5

• 9/5

• -9/5

• 3/5

What is the result of dividing -35 by -20?

• -7/4

• 7/4

• -5/4

• 5/4