Exploring the Expanded Algorithm for Multiplication

The video tutorial explains the expanded algorithm for multiplication, emphasizing its similarity to the partial products method. It begins with an introduction to the concept and its importance, followed by detailed examples using the numbers 37 * 3, 84 * 5, and 64 * 4. Each example demonstrates how to break down numbers into expanded form, multiply individual components, and sum the partial products to find the final result. The tutorial encourages using area models for better understanding and provides practice problems for viewers to try independently.

Why is it important to watch the partial products video before this one?

• It provides a background on addition.

• It explains the concept of area models.

• It teaches basic multiplication.

• It helps in understanding the expanded algorithm.

In the expanded algorithm, what is the first step when multiplying 37 by 3?

• Multiply the tens place.

• Multiply the ones place.

• Add the partial products.

• Draw an area model.

What is the result of multiplying 7 by 3 in the example of 37 times 3?

• 30

• 90

• 21

• 10

When multiplying 84 by 5, what is the product of 80 times 5?

• 420

• 400

• 20

• 500

Why is it important to keep ones, tens, and hundreds lined up in the expanded algorithm?

• To avoid mistakes in multiplication.

• To ensure the correct final product.

• To make the addition easier.

• All of the above.

What is the final product of 84 times 5 using the expanded algorithm?

• 420

• 20

• 400

• 500

In the example of 64 times 4, what is the product of 4 times 60?

• 256

• 240

• 64

• 16

What is the final product of 64 times 4 using the expanded algorithm?

• 256

• 16

• 64

• 240

What is the key to understanding the expanded algorithm?

• Practicing multiplication.

• Drawing area models.

• Thinking of numbers in expanded form.

• Watching videos.

What should you do if you need help with the expanded algorithm?

• Skip the problem.

• Guess the answer.

• Rerun the video.

• Ask a friend.