Russian peasant multiplication


The Russian peasant multiplication, also called the Russian peasant algorithm, uses a halving and doubling method to multiply whole numbers

I will illustrate the method with two good examples that you should study carefully.

When halving, disregard any remainder. Just put the quotient in the halving column

When the number in the halving column is 1, cross out all rows that have an even number in the halving column

the answer is found by adding the remaining numbers in the doubling column

Example # 1: 11 × 12


Halving                              Doubling

   11                    ×                  12

   5                      ×                  24

   2                      ×                  48

   1                      ×                  96



The sum is 12 + 24 + 96 = 132



Example # 2: 37 × 42


Halving                              Doubling

   37                    ×                  42

   18                    ×                  84

   9                      ×                168

   4                      ×                336

   2                      ×                672

   1                      ×              1344



The sum is 42 + 168 + 1344 = 1554

Your turn! try a few multiplication using the Russian peasant multiplication

Looking for a book that will help you sharpen your basic algebra skills?

With algebra skills, most topics are illustrated with algebra tiles as you learn skills that will help you to be successful in algebra.






Recent Articles

  1. Estimate Quotients Using Multiples

    Mar 27, 17 09:34 AM

    Learn how to estimate quotients using multiples with this easy to follow lesson.

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

            Follow me on Pinterest


Page copy protected against web site content infringement by Copyscape








Recent Lessons

  1. Estimate Quotients Using Multiples

    Mar 27, 17 09:34 AM

    Learn how to estimate quotients using multiples with this easy to follow lesson.

    Read More