Understanding the Expanded Algorithm

The video tutorial explains the expanded algorithm for multiplication using the example of 23 times 14. It begins with an introduction to the concept and a review of place values. The teacher then demonstrates how to calculate partial products by multiplying each digit separately and writing out the results. Finally, the partial products are summed to find the final product, with an explanation of how each part contributes to the whole. The tutorial emphasizes understanding the role of partial products in the multiplication process.

What is the first step in using the expanded algorithm for multiplication?

• Subtract the numbers

• Add the numbers

• Identify place values

• Divide the numbers

In the number 23, what is the place value of 3?

• Tens

• Hundreds

• Ones

• Thousands

When multiplying 4 ones by 3 ones, what is the result?

• 15

• 9

• 7

• 12

How do you handle the result of multiplying ones in the expanded algorithm?

• Carry it over

• Write it out as a partial product

• Ignore it

• Subtract it

What is the result of multiplying 10 by 3 ones?

• 20

• 30

• 50

• 40

What is the role of the tens place in the expanded algorithm?

• To be subtracted

• To be multiplied separately

• To be added directly

• To be ignored

What is the result of multiplying 10 by 20?

• 300

• 200

• 100

• 400

What is the final product of 23 times 14 using the expanded algorithm?

• 332

• 342

• 322

• 312

How do you find the final product in the expanded algorithm?

• By adding partial products

• By subtracting partial products

• By dividing partial products

• By multiplying partial products

What are partial products?

• Numbers to be divided

• The final result of multiplication

• Parts of the whole product

• Numbers to be subtracted