Exploring the Inverse Relationship between Multiplication and Division with Fractions

This video tutorial explores the inverse relationship between multiplication and division, focusing on fractions. It introduces the concept of inverse operations, explains fact families, and demonstrates how these concepts apply to fractions. Using a tape model, the video solves a problem involving dividing lemonade among children, illustrating the inverse relationship with fractions. The lesson concludes by reinforcing the understanding of inverse operations and their application to fractions.

What is a fact family in mathematics?

• A set of related facts using the same numbers and inverse operations.

• A family of numbers that only involves multiplication.

• A group of numbers that are related through addition and subtraction only.

• A collection of unrelated mathematical facts.

How can inverse operations be used to verify a division problem?

• By multiplying the quotient by the divisor to see if it equals the dividend.

• By adding the divisor to the quotient.

• By subtracting the quotient from the dividend.

• By dividing the dividend by the quotient.

In the lemonade problem, what fraction of a quart does each child receive?

• 1/5

• 5/8

• 1/8

• 8/5

What is the inverse operation of dividing 5 by 5/8?

• Multiplying 5 by 8

• Multiplying 5/8 by 5

• Dividing 5/8 by 5

• Multiplying 5/8 by 8

How many 5/8 size pieces are there in five whole units?

• 8

• 7

• 6

• 5