Partial Products

Front

What is a partial product in multiplication?

Back

A partial product is the result of multiplying a single digit of one factor by the entire other factor, used in the process of long multiplication.

Front

How do you find the partial products of 232 x 4?

Back

To find the partial products of 232 x 4, multiply each digit of 232 by 4: (200 x 4) + (30 x 4) + (2 x 4) = 800 + 120 + 8.

Front

What is the first step in using partial products to solve a multiplication problem?

Back

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

Front

If you have the numbers 572 and 4, how would you calculate the partial products?

Back

Break down 572 into 500, 70, and 2, then multiply each by 4: (500 x 4) + (70 x 4) + (2 x 4) = 2000 + 280 + 8.

Front

What is the purpose of using partial products in multiplication?

Back

The purpose is to simplify the multiplication process by breaking it down into smaller, more manageable parts.

Front

What is the missing partial product if the other products in a multiplication problem are 800 and 120?

Back

The missing partial product is 630, which completes the total when added to the other products.

Front

How do you find a missing number in a multiplication problem using partial products?

Back

You can find a missing number by setting up an equation with the known partial products and solving for the unknown.

Front

What are the partial products of 1692 x 3?

Back

To find the partial products, break down 1692 into 1000, 600, 90, and 2, then multiply each by 3: (1000 x 3) + (600 x 3) + (90 x 3) + (2 x 3) = 3000 + 1800 + 270 + 6.

Front

What is the relationship between partial products and the standard algorithm for multiplication?

Back

Partial products are a method that leads to the same result as the standard algorithm but emphasizes understanding the multiplication process.

Front

How can you check your work after finding partial products?

Back

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