Exploring 2-Digit Multiplication with Area Models

The video tutorial explains how to multiply two-digit numbers using an area model. It begins by breaking down the numbers 23 and 45 into expanded form, then sets up an area model to calculate partial products. Finally, it demonstrates how to add these partial products to find the final result of 1035.

What is the first step in solving a two-digit by two-digit multiplication using the area model?

• Multiply the largest digits first

• Expand the numbers into tens and ones

• Draw the area model grid

• Sum up the partial products

What is the product of 20 (from 23) and 40 (from 45) in the area model?

• 800

• 120

• 100

• 15

Which of the following is a correct representation of 45 in expanded form?

• 40 + 5

• 4 + 5

• 45 + 0

• 400 + 50

In the area model, which multiplication corresponds to the bottom right box?

• 20 times 5

• 3 times 5

• 40 times 3

• 20 times 40

What is the product of 40 (from 45) and 3 (from 23) in the area model?

• 120

• 130

• 150

• 12

What is the result of multiplying 3 (from 23) and 5 (from 45)?

• 8

• 25

• 15

• 12

How many partial products are there in the area model for 23 times 45?

• Six

• Five

• Three

• Four

What is the final result of multiplying 23 by 45 using the area model?

• 935

• 1005

• 1035

• 1135

What is the sum of the partial products 800, 120, 100, and 15?

• 1025

• 1055

• 1045

• 1035

Which operation is performed after calculating all the partial products in the area model?

• None of the above

• Addition

• Subtraction

• Division