Partial Product

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, often used in the partial product method of multiplication.

Front

How do you estimate the product of two numbers?

Back

To estimate the product, round each number to a convenient value (usually to the nearest ten, hundred, etc.) and then multiply the rounded numbers.

Front

What is the factorial of a number (n!)?

Back

The factorial of a number n, denoted as n!, is the product of all positive integers from 1 to n.

Front

Calculate 6! (6 factorial).

Back

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720.

Front

What is the expanded form of a number?

Back

The expanded form of a number expresses it as the sum of its individual digits multiplied by their place value.

Front

How do you find a missing partial product in a multiplication problem?

Back

To find a missing partial product, identify the known factors and their corresponding digits, then calculate the product of the missing digit with the other factor.

Front

What is the product of 9,000 and 8! (8 factorial)?

Back

The product is 9,000 x 8! = 9,000 x 40,320 = 362,880,000.

Front

What is the significance of using partial products in multiplication?

Back

Using partial products simplifies the multiplication process by breaking it down into smaller, more manageable parts.

Front

How can you verify the accuracy of a multiplication result?

Back

You can verify the accuracy by using the inverse operation (division) or by estimating the product and comparing it to the calculated result.

Front

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

Back

Partial products illustrate that multiplication can be viewed as repeated addition of the partial products.