Understanding Division and Inverse Operations

This video tutorial teaches how to check division with fractional quotients using the inverse relationship between multiplication and division. It reviews inverse operations and fact families, and demonstrates the concept through word problems involving licorice ropes and cat food. The tutorial emphasizes using multiplication to verify division results.

What is the inverse operation of division?

• Multiplication

• Subtraction

• Exponentiation

• Addition

Which mathematical operations are considered inverse operations?

• Addition and multiplication

• Multiplication and exponentiation

• Subtraction and division

• Addition and subtraction

What is a fact family?

• A family of numbers used for subtraction only

• A set of numbers used for addition only

• A collection of related facts sharing the same numbers

• A group of unrelated numbers

In the licorice rope problem, how much licorice does each child get?

• One-third of a rope

• One-half of a rope

• Two-thirds of a rope

• One-fourth of a rope

How can you verify the division of 2 ropes among 3 children using multiplication?

• By multiplying 1 by 3

• By multiplying 3 by 1/3

• By multiplying 3 by 2/3

• By multiplying 2 by 3

What is the result of multiplying 3 by 2/3?

• 4

• 3

• 2

• 1

In the cat food problem, how much food does each kitten get?

• 2 and 1/5 pounds

• 3 and 1/5 pounds

• 4 pounds

• 3 pounds

How do you verify the division of 16 pounds of cat food among 5 kittens?

• By multiplying 5 by 3 and 1/5

• By multiplying 5 by 2

• By multiplying 5 by 3

• By multiplying 16 by 5

What is the result of multiplying 5 by 3 and 1/5?

• 15

• 16

• 17

• 18

What property is used to break apart 3 and 1/5 in the cat food problem?

• Associative property

• Commutative property

• Distributive property

• Identity property