Checking Division with Fractional Quotients Using Inverse Operations

This lesson teaches how to check division with fractional quotients using the inverse relationship between multiplication and division. It covers the concept of fact families and demonstrates the process through word problems involving licorice ropes and cat food. By using multiplication to verify division results, students learn to ensure their answers are correct.

What is the relationship between multiplication and division?

• They are unrelated operations.

• They are inverse operations.

• They are the same operation.

• They are both addition operations.

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

• 1/3 of a rope

• 1/2 of a rope

• 1 whole rope

• 2/3 of a rope

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

• By adding the fractions

• By dividing 3 by 2

• By multiplying 3 by 2/3

• By subtracting the fractions

In the cat food example, what is the total amount of food each kitten receives?

• 2 and 1/5 pounds

• 3 pounds

• 3 and 1/5 pounds

• 4 pounds

How is the distributive property used in the cat food example?

• To divide the food equally

• To multiply the total food by 5

• To break down 3 and 1/5 into simpler parts

• To add the food portions together