Partial Product

Front

What is a partial product?

Back

A partial product is the result of multiplying a single digit of one number by the entire other number in a multiplication problem.

Front

How do you estimate a multiplication problem?

Back

To estimate a multiplication problem, round the numbers to the nearest ten, hundred, or other convenient value, then multiply the rounded numbers.

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 shows how to multiply them using rectangles.

Front

Calculate the partial products of 378 x 5.

Back

The partial products are 3000 (300 x 5) + 70 (70 x 5) + 8 (8 x 5) = 1890.

Front

What is the product of 13 and 7 using the area model?

Back

The product is 91, calculated as (10 x 7) + (3 x 7) = 70 + 21.

Front

What are the steps to find partial products?

Back

1. Break each number into its place values. 2. Multiply each part of the first number by each part of the second number. 3. Add all the partial products together.

Front

Estimate 7,865 x 6 by rounding.

Back

Round 7,865 to 8,000. Then estimate: 8,000 x 6 = 48,000.

Front

What are the partial products of 1,064 x 5?

Back

The partial products are 5,000 (5 x 1,000) + 300 (5 x 60) + 20 (5 x 4) = 5,300.

Front

What is the importance of using partial products in multiplication?

Back

Using partial products helps break down complex multiplication into simpler, manageable steps, making it easier to understand.

Front

How can you check your work after using partial products?

Back

You can check your work by adding the partial products together to see if they equal the final product.