Understanding Negative Numbers and Ratios

This video tutorial covers dividing rational numbers, focusing on signed numbers and their solutions. It includes examples of equations and word problems, such as Han and Claire's walking scenario and a water well drilling problem. The tutorial also reviews homework problems, emphasizing the importance of understanding positive and negative solutions in multiplication and division.

What is the result when a negative number is divided by another negative number?

• Undefined

• Zero

• Positive

• Negative

If you divide a positive number by a negative number, what will the sign of the result be?

• Positive

• Negative

• Zero

• Undefined

In a division problem, if both numbers have the same sign, what will the result be?

• Zero

• Positive

• Undefined

• Negative

Han walks at 4 feet per second. How far will he be from the meeting point 10 seconds before they meet?

• 50 feet

• -50 feet

• -40 feet

• 40 feet

Claire walks at -5 feet per second. How far will she be from the meeting point 10 seconds before they meet?

• 50 feet

• -40 feet

• -50 feet

• 40 feet

If a drilling rig drills at a constant rate of -2.5 feet per hour, how deep will it be after 15 hours?

• -60 feet

• 37.5 feet

• 60 feet

• -37.5 feet

How long will it take for the drilling rig to reach a depth of -250 feet?

• 105 hours

• 110 hours

• 100 hours

• 95 hours

How many cups are in one gallon?

• 12 cups

• 8 cups

• 4 cups

• 16 cups

If you have 1.5 quarts of blue paint, how many cups is that equivalent to?

• 10 cups

• 4 cups

• 6 cups

• 8 cups

To make 100 cups of paint mixture, how many cups of green paint are needed if the original recipe uses 2 cups?

• 12.5 cups

• 50 cups

• 25 cups

• 37.5 cups