Expanded Algorithm for Double-Digit Multiplication

The video tutorial explains the expanded algorithm for double-digit multiplication. It begins with an introduction to the method, followed by a demonstration of using color coding to identify place values and partial products. The teacher then walks through the step-by-step process of multiplying each digit, starting from the bottom right corner, and calculating partial products. Finally, the video shows how to add these partial products to arrive at the final answer, using the example of multiplying 34 by 26 to get 884.

What is the main focus of the expanded algorithm discussed in the video?

• Division of fractions

• Single-digit multiplication

• Double-digit addition

• Double-digit times double-digit multiplication

Why is color coding used in the expanded algorithm?

• To help identify different place value positions

• To make the worksheet look attractive

• To differentiate between addition and subtraction

• To highlight the final answer

How many partial products are obtained in the expanded algorithm for double-digit multiplication?

• Two

• Five

• Three

• Four

What is the first step in the expanded algorithm for double-digit multiplication?

• Subtracting the smaller number from the larger number

• Adding the partial products

• Multiplying the units digit of the bottom number with the entire top number

• Multiplying the tens digit of the bottom number

What is the result of multiplying 6 by 4 in the example provided?

• 30

• 18

• 24

• 20

What is the first multiplication problem solved in the example?

• 6 times 30

• 20 times 4

• 6 times 4

• 20 times 30

What is the next step after multiplying the units digit of the bottom number?

• Subtracting the smaller number from the larger number

• Dividing the result by 2

• Multiplying the tens digit of the bottom number with the entire top number

• Adding the partial products

What is the result of multiplying 20 by 4 in the example?

• 60

• 80

• 120

• 100

What is the final step in the expanded algorithm for double-digit multiplication?

• Multiplying the tens digit of the bottom number

• Adding the partial products

• Subtracting the smaller number from the larger number

• Dividing the result by 2

What is the final result of multiplying 34 by 26 using the expanded algorithm?

• 780

• 884

• 1024

• 900