Q:
# What Are Partial Product Multiplication Algorithms?

**A partial product multiplication algorithm is the process in which each part of one number is multiplied by each part of another number, after which the products are added together.** An understanding of place value is necessary to use this algorithm, and the largest numbers are multiplied first.

The parts of each number are figured out by separating each number into the sum of ones, tens and hundreds. For example, 67 is broken up into 60 + 7, and 53 is broken up into 50 + 3. If these two numbers are being multiplied together, the partial product multiplication algorithm calls for multiplying 50 by 60, 60 by 3, 50 by 7 and 7 by 3. The answers to these multiplication problems are then added together to get the answer to the entire problem.

Another common multiplication algorithm is to multiply the number in the ones spot in the bottom factor by each of the numbers in the top factor, carrying any extra numbers and adding them to the next product. This is then repeated for the second number in the bottom factor, except the number in the ones column is always a zero. For each additional number in the bottom factor, an additional zero should be added to the end of the product. Once all numbers are multiplied, the products are added together.

Learn more about Arithmetic-
Q:
## What Are the Parts of a Multiplication Problem?

A: The basic parts of a multiplication problem consist of at least two factors that are multiplied together to result in one product. More than two factors ca... Full Answer >Filed Under: -
Q:
## What Are Some Benefits of Front End Estimation in Multiplication?

A: Front end estimation makes a multiplication problem simpler to solve without a calculator by providing an estimation of the product of the original values.... Full Answer >Filed Under: -
Q:
## What Are Some Examples of Multiplication Arrays?

A: Some examples of real world multiplication arrays are a crate of oranges or a box of chocolates with a certain number of oranges or chocolates in each row ... Full Answer >Filed Under: -
Q:
## What Is the Multiplication Property of Equality?

A: The multiplication property of equality says that if you multiply both sides of an equation by the same number, then the sides remain equal. Hence whatever... Full Answer >Filed Under: