Multiplying 1-Digit by 3-Digit Numbers with the Area Model

The video tutorial demonstrates how to multiply a one-digit number by a three-digit number using the area model. It begins by decomposing the three-digit number into hundreds, tens, and ones, and then calculates partial products for each component. The tutorial also explores the effect of switching the order of factors in multiplication. Finally, it combines the partial products to find the final result, emphasizing the importance of place value alignment.

What is the first step in multiplying a one-digit number by a three-digit number using the area model?

• Writing the numbers directly

• Drawing a circle

• Drawing a rectangle

• Using a calculator

How is the number 412 decomposed in the area model?

• 4 + 1 + 2

• 400 + 10 + 2

• 40 + 12

• 400 + 12

What is the product of 6 and 400 in the area model?

• 4000

• 240

• 2400

• 24

What is the product of 6 and 10 in the area model?

• 60

• 600

• 6

• 6000

What is the product of 6 and 2 in the area model?

• 2

• 12

• 20

• 60

What is the next step after calculating the partial products in the area model?

• Adding the partial products

• Multiplying the partial products

• Subtracting the partial products

• Dividing the partial products

What is the final product of multiplying 6 by 412 using the area model?

• 2742

• 2427

• 2472

• 2412

What is the purpose of lining up the partial products based on their place value?

• To make it easier to subtract them

• To make it easier to add them

• To make it easier to divide them

• To make it easier to multiply them

How does the area model change when the order of factors is switched?

• The rectangle becomes taller

• The rectangle becomes smaller

• The rectangle becomes wider

• The rectangle becomes larger

What is the final product when multiplying 412 by 6 using the area model?

• 2742

• 2472

• 2427

• 2412