2 Digit By 2 Digit Area Model

Front

What is the area model in multiplication?

Back

The area model is a visual representation used to multiply numbers by breaking them into parts, allowing for easier calculation of products.

Front

How do you calculate the area of a rectangle?

Back

Area = length × width.

Front

What are partial products?

Back

Partial products are the results of multiplying each digit of one number by each digit of another number, before adding them together to get the final product.

Front

What is the first step in using the area model for 2-digit by 2-digit multiplication?

Back

Break each number into tens and ones.

Front

If you multiply 23 by 15 using the area model, what are the partial products?

Back

(20 × 10) + (20 × 5) + (3 × 10) + (3 × 5) = 200 + 100 + 30 + 15.

Front

What does the term 'distributive property' mean?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to distribute multiplication over addition.

Front

In the area model, what does each rectangle represent?

Back

Each rectangle represents a partial product of the multiplication.

Front

How do you find the total area in the area model?

Back

Add all the partial products together.

Front

What is the product of 46 and 38 using the area model?

Back

1,748, calculated by adding the partial products: 1,200 + 180 + 320 + 48.

Front

What is the significance of the tens and ones in the area model?

Back

They help to organize the multiplication process by separating the values into manageable parts.