Multiply using partial products

The 5 steps below will quickly show you how to multiply using partial products. Here, we will do the multiplication for a two-digit number by another two-digit number. For example, the figure immediately below shows how to quickly multiply 26 by 45.

Multiply using partial products

If you did not quite understand the example above, keep reading since we broke the multiplication down into 5 steps.

If you multiply a two-digit number by another two-digit number, you will have 4 partial products.

Here is how to multiply using partial products step by step

Step 1

       Tens   Ones
         4   5 
   x    2   6
 __________   
   8  0   0 <---------- partial product

Multiply the tens by the tens: 2 tens x 4 tens = 20 x 40 = 800.

Step 2

       Tens   Ones
         4   5 
   x    2   6
 __________   
   1  0   0 
<---------- partial product

Multiply the ones by the tens: 5 ones x 2 tens = 5 x 20 = 100.

Step 3

      Tens   Ones
         4   5 
   x    2   6
 __________   
   2  4   0 
<---------- partial product

Multiply the tens by the ones: 4 tens x 6 ones  = 40 x 6 = 240

Step 4

       Tens   Ones
         4   5 
   x    2   6
 __________   
       3    0 
<---------- partial product

Multiply the ones by the ones: 5 ones x 6 ones  = 30 ones = 30

Step 5

          Tens   Ones
             4   5 
       x    2   6
    __________   
       8  0   0
      1  0   0
      2  4   0
          3   0
 _________
 1   1  7   0 

Just add the four partial products to get the answer: 800 + 100 + 240 + 30 = 1170

So, 26 x 45 = 1170

Recent Articles

  1. Time-series Data - Definition and Example

    May 07, 21 02:29 PM

    A time-series data shows information about the same subject or element of a sample or population for different periods of time.

    Read More