Operations with Negative Numbers

Professor Dave explains negative numbers using relatable examples like apples and bank accounts. He introduces the number line, illustrating how negative numbers extend to negative infinity. The video covers operations with negative numbers, including addition, subtraction, multiplication, and division, emphasizing the importance of understanding rather than memorization. Key concepts include the cancellation of negative signs and the comparison of negative values.

What happens if you promise more apples than you currently have?

• You have the same number of apples.

• You have a negative number of apples.

• You have zero apples.

• You have a positive number of apples.

If you owe someone 5 apples, what does this represent on a number line?

• 5 apples to the right of zero

• 10 apples to the right of zero

• At zero

• 5 apples to the left of zero

On a number line, which is greater: -2 or -5?

• -5 is greater than -2

• -2 is greater than -5

• They are equal

• Cannot be determined

If you owe the bank $10, how does this compare to owing $20?

• Both are the same

• You have no money in both cases

• You have more money owing $10

• You have more money owing $20

What is the result of adding a negative number?

• It is the same as subtracting the positive version of that number

• It is the same as adding a positive number

• It results in zero

• It doubles the number

What happens when you subtract a negative number?

• It is the same as subtracting a positive number

• It results in zero

• It is the same as adding the positive version of that number

• It doubles the number

If your bank forgives a $10 overdraft, what is your new balance?

• $20

• -$10

• $0

• $10

What is the result of 5 minus negative 2?

• 3

• 7

• 0

• -3

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

• The result is positive

• The result is negative

• The result is the same as the positive number

• The result is zero

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

• The result is positive

• The result is negative

• The result is zero

• The result is the same as the positive number