Relating Multiplication and Division Through Arrays

This lesson by Mr. Matt Mauck explores the relationship between multiplication and division, emphasizing their inverse nature. It includes practical examples, such as distributing tickets among friends, and demonstrates using arrays and grids to solve division problems. The lesson also covers the distributive property, showing how it can simplify division by breaking down numbers into manageable parts.

What operation is considered the inverse of multiplication?

• Division

• Exponentiation

• Subtraction

• Addition

If 28 is divided by 7, what is the quotient?

• 21

• 28

• 7

• 4

How many tickets does each person get if 126 tickets are divided among 6 friends?

• 24

• 30

• 21

• 18

In an array model for division, what does the length of each row represent?

• Quotient

• Dividend

• Divisor

• Product

What is the result of 126 divided by 6 using the array method?

• 23

• 22

• 21

• 20

What property allows us to break a multiplication across a sum?

• Distributive property

• Identity property

• Commutative property

• Associative property

Using the distributive property, what is 56 divided by 4?

• 14

• 16

• 12

• 18

In the context of division, what does breaking down 96 into 80 and 16 help achieve?

• Complex multiplication

• Simpler division

• Simpler multiplication

• Easier addition

What is the quotient when 96 is divided by 8 using the distributive property?

• 10

• 11

• 12

• 13

How does the distributive property simplify division?

• By breaking numbers into smaller parts

• By adding numbers

• By multiplying numbers

• By subtracting numbers