Box Method Multiplication: 3-Digit by 1-Digit Techniques

The video tutorial by Mr. J explains how to multiply larger numbers using the box method, a strategy similar to the traditional standard algorithm. The tutorial covers two examples: multiplying 252 by 4 and 786 by 7, demonstrating each step of the box method, including drawing the box, expanding factors, multiplying, and adding partial products. The video also compares the box method with the traditional multiplication method to highlight similarities and differences.

What is the primary advantage of using the box method for multiplication?

• It does not require knowing the multiplication tables.

• It provides a clearer understanding of multiplication.

• It requires less space.

• It is faster than any other method.

When multiplying 252 by 4 using the box method, what is the first step?

• Sum up the numbers.

• Multiply the numbers directly.

• Write down the multiplication table of 4.

• Draw a box and divide it into sections.

Why is the box method considered beneficial for understanding multiplication?

• It visually breaks down the multiplication process.

• It simplifies complex calculations.

• It is the only method taught in schools.

• It uses less paper.

What does expanding the factors mean in the context of the box method?

• Splitting the box into more sections.

• Writing the numbers in expanded form.

• Drawing a larger box.

• Increasing the value of the numbers.

In the box method, why is it important to add zeros when multiplying?

• To make multiplication easier.

• To make the box bigger.

• To ensure correct place value.

• To increase the number's value.

What is the final step in the box method of multiplication?

• Adding the partial products.

• Drawing another box.

• Expanding the factors again.

• Multiplying the numbers again.

What role do zeros play in the box method of multiplication?

• They make the box look complete.

• They are placeholders for empty sections.

• They ensure the numbers are correctly aligned.

• They are used to correct the place value.

How does the box method compare to the traditional multiplication method?

• It is only used for small numbers.

• It offers a better understanding of the process.

• It is more complicated.

• It is completely different.

In the second example, what is the product of 786 and 7 using the box method?

• 5502

• 5489

• 5520

• 5490

What is a 'partial product' in the context of the box method?

• The final answer of the multiplication.

• A mistake made during multiplication.

• One of the intermediate multiplication results.

• A product that is only partially correct.