6.2 connecting the Expanded and Standard Algorithms

Front

What is the area model in multiplication?

Back

The area model is a visual representation of multiplication that breaks down numbers into their place values and represents the product as the area of rectangles.

Front

How do you use the area model to multiply two-digit numbers?

Back

To use the area model for two-digit multiplication, break each number into tens and ones, draw a rectangle divided into sections for each part, and calculate the area of each section.

Front

What is the expanded algorithm in multiplication?

Back

The expanded algorithm involves breaking down numbers into their place values, multiplying each part separately, and then adding the results together.

Front

How does the standard algorithm differ from the area model?

Back

The standard algorithm is a step-by-step procedure for multiplication that involves carrying over numbers, while the area model visually represents the multiplication process.

Front

What is the first step in using the area model for 64 x 5?

Back

The first step is to break down 64 into 60 and 4, and then create a rectangle with one side as 5.

Front

Calculate the area of the rectangle for 60 x 5 using the area model.

Back

The area is 300, calculated as 60 multiplied by 5.

Front

Calculate the area of the rectangle for 4 x 5 using the area model.

Back

The area is 20, calculated as 4 multiplied by 5.

Front

What is the final step after calculating the areas in the area model?

Back

The final step is to add the areas together to find the total product.

Front

What is the product of 64 x 5 using the area model?

Back

The product is 320, calculated by adding 300 and 20.

Front

How do you apply the area model to 93 x 4?

Back

Break down 93 into 90 and 3, calculate 90 x 4 and 3 x 4, then add the results.