Gavin's Pool (Divide rational numbers in a real-world example)

The video tutorial explains rational numbers as fractions of two integers, focusing on negative fractions. It uses a real-world example of a pool's water level to illustrate different expressions of negative rates. The lesson concludes by showing that different forms of expressing rates are equivalent, enhancing understanding of rational numbers.

What is a rational number?

• A number that can be written as a fraction of two integers

• A number that is always positive

• A number that cannot be expressed as a fraction

• A number that is always negative

In Gavin's pool example, what does the rate 'negative 2 feet over 3 hours' indicate?

• The water level drops 2 feet every 3 hours

• The water level remains constant

• The water level drops 3 feet every 2 hours

• The water level rises 2 feet every 3 hours

How can the rate 'negative 2 feet over 3 hours' be interpreted as a unit rate?

• Negative 2/3 feet every 1 hour

• Negative 3/2 feet every 1 hour

• 2 feet every 3 hours

• 3 feet every 2 hours

What does the rate '2 feet over negative 3 hours' suggest?

• The water level was 2 feet lower for every 3 hours you go back in time

• The water level was 2 feet higher for every 3 hours you go back in time

• The water level rises 2 feet every 3 hours

• The water level drops 3 feet every 2 hours

What is the main takeaway regarding the different forms of rate expressions?

• They are all equivalent

• They are only valid in theory

• They are all incorrect

• They represent different situations