Multiplying using Area Models and Partial Product

Front

What is an area model in multiplication?

Back

An area model is a visual representation of multiplication that shows how to break numbers into parts to find the product.

Front

What are partial products?

Back

Partial products are the results of multiplying each digit of one number by each digit of another number, then adding those results together.

Front

How do you use an area model to multiply 13 by 7?

Back

Break 13 into 10 and 3. Multiply 10 by 7 to get 70, and 3 by 7 to get 21. Add 70 and 21 to get 91.

Front

What is the product of 4 and 6 using partial products?

Back

4 x 6 = 24.

Front

How can you represent 24 using an area model?

Back

You can break 24 into 20 and 4, then multiply 20 by 1 and 4 by 1 to visualize the area.

Front

What does the 4 in 24 represent?

Back

The 4 represents 4 ones in the number 24.

Front

What is the equation represented in box B if it shows 2 groups of 10?

Back

The equation is 2 x 10.

Front

How do you calculate 81 x 25 using partial products?

Back

Break 81 into 80 and 1, and 25 into 20 and 5. Then calculate (80 x 20) + (80 x 5) + (1 x 20) + (1 x 5) to get 2025.

Front

What is the area model for multiplying 5 by 3?

Back

The area model shows a rectangle with length 5 and width 3, giving an area of 15.

Front

What is the product of 9 and 8 using an area model?

Back

Break 9 into 5 and 4, and 8 into 5 and 3. Calculate (5 x 8) + (4 x 8) to get 72.