Multiplying Multi-Digit Numbers Using the Area Model

This video tutorial teaches how to multiply multi-digit numbers using the area model. It begins with a review of basic multiplication concepts, including the definition of a product, repeated addition, and arrays. The tutorial then explains the powers of 10 and common mistakes in multiplication. Two examples using the area model are provided: multiplying 23 by 15 and 225 by 12. Each example involves breaking numbers into expanded form, drawing a rectangle, and calculating partial products to find the final answer.

What is the result called when two numbers are multiplied together?

• Difference

• Product

• Quotient

• Sum

Which of the following is equivalent to multiplying 32 by 5?

• Dividing 32 by 5

• Adding 32 five times

• Multiplying 5 by 32 and then subtracting 5

• Subtracting 5 from 32

What is a common mistake students make when multiplying multi-digit numbers?

• Ignoring the powers of 10

• Multiplying each digit as if it represents a number of ones

• Adding instead of multiplying

• Using subtraction instead of addition

When using the area model, what is the first step in multiplying 23 by 15?

• Drawing a rectangle

• Breaking numbers into expanded form

• Adding partial products

• Multiplying directly

In the area model, what is the partial product of 20 times 5?

• 10

• 50

• 100

• 200

What is the final product of multiplying 23 by 15 using the area model?

• 300

• 345

• 230

• 150

What is the final product of multiplying 225 by 12 using the area model?

• 2,500

• 2,800

• 2,600

• 2,700