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 and the idea of multiplication as repeated addition. The tutorial then explains the significance of powers of 10 in multiplication. The main focus is on using the area model to multiply numbers, demonstrated through examples of multiplying 23 by 15 and 225 by 12. The video emphasizes the importance of understanding place value and breaking numbers into expanded form to simplify multiplication.

What is the result of multiplying 4 by 6 using an array?

• 18

• 24

• 30

• 20

How does multiplying a number by 10 affect its value?

• It decreases the value by 10 times.

• It doubles the value.

• It remains the same.

• It increases the value by 10 times.

When multiplying 36 by 5, why is it incorrect to multiply each digit as if it represents ones?

• Because it is only applicable to addition.

• Because it is a faster method.

• Because it results in a smaller product.

• Because it ignores the powers of 10.

What is the first step in using the area model to multiply 23 by 15?

• Add the numbers together.

• Break apart the numbers into expanded form.

• Draw a rectangle.

• Multiply the numbers directly.

What is the partial product of multiplying 10 by 20 in the area model?

• 200

• 300

• 100

• 400

In the area model, what is the value of 225 when broken down?

• 200 + 25

• 200 + 20 + 5

• 225

• 220 + 5

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

• 2500

• 2600

• 2700

• 2800