Dividing Rational Numbers Explained

The video tutorial covers dividing rational numbers, using real-world examples like water well drilling and aquarium water levels to illustrate division and rates. It also explores the concept of negative values through the descent of a submarine to the Challenger Deep. The tutorial emphasizes understanding division rules, solving equations, and applying these concepts to practical scenarios.

If you have the equation -27x = -35, what is the value of x?

• x = -35/27

• x = 35/27

• x = -27/35

• x = 27/35

What is the result of dividing -35 by -27?

• 1.296

• -0.771

• -1.296

• 0.771

If a drilling rig has dug to a height of -60 feet in 24 hours, what is the rate of drilling per hour?

• -1.5 feet per hour

• 2.5 feet per hour

• -2.5 feet per hour

• 1.5 feet per hour

How long will it take for a drilling rig to reach -250 feet if it drills at a rate of -2.5 feet per hour?

• 100 hours

• 50 hours

• 200 hours

• 150 hours

If an aquarium is filling at 30 liters per minute and draining at 20 liters per minute, what is the net change in water level per minute?

• 10 liters per minute

• -50 liters per minute

• -10 liters per minute

• 50 liters per minute

How long will it take for an aquarium to overflow if it starts at 10,000 liters and fills at a net rate of 10 liters per minute until it reaches 12,000 liters?

• 400 minutes

• 100 minutes

• 200 minutes

• 300 minutes

If Auguste Picard ascended 51,683 feet in 7 hours, what was his rate of ascent per hour?

• 6,000 feet per hour

• 7,383.29 feet per hour

• 7,000 feet per hour

• 8,000 feet per hour

If Auguste Picard descended 52,940 feet in 3 hours, what was his rate of descent per hour?

• -16,000 feet per hour

• -18,000 feet per hour

• -15,000 feet per hour

• -17,646.67 feet per hour

How long will it take a submarine to descend 2,100 feet if it descends at a rate of -1,050 feet per hour?

• 3 hours

• 4 hours

• 2 hours

• 1 hour

If a submarine descends at a rate of -240 feet per hour, how long will it take to reach -2,100 feet?

• 8.75 hours

• 10 hours

• 9 hours

• 7.5 hours