Exploring Unit 5 Lesson 11: Adding and Subtracting Rational Expressions

This video tutorial covers Math 7 Unit 5 Lesson 11 on dividing rational numbers. It begins with an introduction to dividing signed numbers and solving equations. The lesson explains the rules for multiplication and division of signed numbers, followed by a word problem involving Han and Claire's walking speeds. The tutorial also includes a practical problem on calculating the depth of a water well drilling rig over time. Finally, it reviews homework and practice problems to reinforce the concepts learned.

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

• Positive

• Zero

• Negative

• Undefined

If you multiply a negative number by a positive number, what will the result be?

• Positive

• Negative

• Zero

• Undefined

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

• Undefined

• Zero

• Negative

• Positive

Han is walking at 4 feet per second. Where will he be 10 seconds before meeting Claire?

• -40 feet

• 40 feet

• -50 feet

• 50 feet

Claire is walking at -5 feet per second. Where will she be 10 seconds before meeting Han?

• 50 feet

• 40 feet

• -40 feet

• -50 feet

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

• 37.5 feet

• -37.5 feet

• 60 feet

• -60 feet

How long will it take for the drilling rig to reach a depth of -147.5 feet at a rate of -2.5 feet per hour?

• 58 hours

• 57 hours

• 60 hours

• 59 hours

What is the quotient of 24 divided by -6?

• -4

• 4

• 6

• -6

What is the result of dividing -4 by -20?

• -1/5

• -5

• 5

• 1/5

What is the reciprocal of 4/3?

• 3/4

• -3/4

• 4/3

• -4/3