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

Tags

CCSS.6.EE.B.7

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

• 1.296

• -0.771

• -1.296

• 0.771

Tags

CCSS.7.NS.A.2B

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

Tags

CCSS.7.EE.B.3

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

Tags

CCSS.7.NS.A.1B

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

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

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

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

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B