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 where the lengths of the sides of a rectangle represent the numbers being multiplied. The area of the rectangle represents 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 products together to find the final answer.

Front

How do you use an area model to multiply 81 x 25?

Back

Break 81 into 80 and 1, and 25 into 20 and 5. Create a rectangle with dimensions 80 and 20, 80 and 5, 1 and 20, and 1 and 5. Calculate the area of each rectangle and add them: (80x20) + (80x5) + (1x20) + (1x5) = 1600 + 400 + 20 + 5 = 2025.

Front

What is the value of the digit 4 in the number 24?

Back

The value of the digit 4 in 24 is 4, as it represents 4 ones.

Front

How do you find the product of 54 x 9 using partial products?

Back

Break 54 into 50 and 4. Multiply: (50x9) + (4x9) = 450 + 36 = 486.

Front

What is the first step in using the area model for multiplication?

Back

The first step is to break each number into its place values.

Front

What does the term 'product' mean in multiplication?

Back

The product is the result of multiplying two or more numbers together.

Front

How can you represent 250 in partial products when multiplying?

Back

250 can be represented as 200 + 50 when using partial products.

Front

What is the purpose of using an area model in multiplication?

Back

The purpose is to visualize the multiplication process and understand how numbers combine to form a product.

Front

What is the relationship between multiplication and addition in partial products?

Back

Partial products show that multiplication can be broken down into simpler addition of smaller products.