What is a Partial Product? Definition and Examples


A partial product is one part of the answer to a multiplication when one digit of a multiplicand is multiplied by another digit of a multiplier.

You get partial products when either the multiplicand or the multiplier has at least two digits. The one with more digits goes on top in vertical multiplication. In example #1 below, 12 is on top.

A couple of examples showing what the partial product is


Example #1

     12     (Multiplicand)
    × 3     (Multiplier)
 --------
       6     (Partial product: 3
×2 = 6)

     30     (Partial product: 3×10 = 30)

 --------

     36    (Sum of the partial products)

Since multiplication is commutative, it would not matter if you put the multiplier on top. Just make sure the bigger number is in top! 

When you multiply 12 by 3, the partial products are 6 and 30.

Example #2

   123     (Multiplicand)
    × 4     (Multiplier)
 --------
     12     (Partial product: 4×3 = 12)

     80     (Partial product: 4×20 = 80)

   400     (Partial product: 4×100 = 400)

 --------
   492    (Sum of the partial products)

When you multiply 123 by 4, the partial products are 12, 80, and 400.

Recent math words

  1. What is a Vector? Definition and Examples

    Feb 04, 22 05:28 AM

    What is a vector? Definition, explanations and easy to understand read life examples.

    Read More

  2. What are Vertical Angles? Definition and Examples

    Feb 03, 22 05:45 AM

    What are vertical angles? Definition, explanation and easy to understand examples.

    Read More

Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

  1. Click on the HTML link code below.
  2. Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.
Share this page: