Understanding the Distributive Property

The video tutorial introduces the distributive property of multiplication using arrays. It explains how arrays can represent multiplication equations and how the distributive property can simplify calculations by breaking down larger problems into smaller, manageable parts. The tutorial includes example problems and solutions, encouraging both collaborative and independent practice to reinforce understanding.

What is the main purpose of using arrays in understanding the distributive property?

• To make addition easier

• To visualize multiplication as repeated addition

• To learn division

• To practice drawing

How can multiplication be represented using arrays?

• As repeated addition

• As division

• As repeated subtraction

• As a single number

What does the multiplication sign represent in the context of arrays?

• Subtraction of

• Division of

• Groups of

• Addition of

In the example of 15x4, how is the array split to use the distributive property?

• Into 10 groups of 4 and 5 groups of 4

• Into 5 groups of 3 and 10 groups of 3

• Into 15 groups of 1 and 4 groups of 1

• Into 3 groups of 5 and 4 groups of 5

What is the product of 15x4 using the distributive property?

• 50

• 60

• 70

• 80

How does the distributive property help in solving larger multiplication problems?

• By using division

• By making the numbers smaller

• By allowing the use of basic facts

• By changing the numbers

In the example of 9x5, how is the array split using the distributive property?

• Into 3 groups of 3 and 6 groups of 3

• Into 4 groups of 5 and 5 groups of 5

• Into 5 groups of 4 and 4 groups of 4

• Into 9 groups of 1 and 5 groups of 1

What is the product of 9x5 using the distributive property?

• 35

• 50

• 45

• 40

In the 'we do' problem, how is the array for 20x8 split?

• Into 5 groups of 4 and 15 groups of 4

• Into 20 groups of 1 and 8 groups of 1

• Into 8 groups of 5 and 12 groups of 5

• Into 10 groups of 8 and 10 groups of 8

What is the product of 20x8 using the distributive property?

• 140

• 170

• 150

• 160