Exploring Expanded Notation Multiplication

The video tutorial explains expanded notation for multiplication, focusing on partial products and their arrangement in a more abstract way. It transitions from base 10 blocks to area models and finally to a symbolic approach, preparing students for the traditional algorithm. Examples include multiplying 28 by 9, 4 by 3,697, and two-digit numbers like 12 by 25, demonstrating how to expand numbers and calculate partial products.

What is the main focus of expanded notation for multiplication?

• Partial products arranged in a more abstract way

• Using only area models

• Focusing on division

• Using only base 10 blocks

In the area model for 28 times 9, what is the partial product of 20 times 9?

• 72

• 180

• 252

• 90

How do you write 28 in expanded notation?

• 2 + 8

• 20 + 8

• 28

• 2 * 10 + 8

What is the final answer when you add the partial products of 28 times 9?

• 200

• 72

• 180

• 252

When multiplying 4 times 3697, what is the partial product of 3000 times 4?

• 360

• 2400

• 12000

• 28

What is the partial product of 600 times 4 in the problem 4 times 3697?

• 28

• 2400

• 360

• 12000

What is the final answer when you add all the partial products of 4 times 3697?

• 360

• 2400

• 12000

• 14788

In the problem 12 times 25, what is the partial product of 20 times 10?

• 200

• 40

• 50

• 20

What is the partial product of 5 times 10 in the problem 12 times 25?

• 200

• 20

• 40

• 50

What is the final answer when you add all the partial products of 12 times 25?

• 200

• 40

• 50

• 300