Learning the Abacus


Welcome to the 

Learning the Abacus 

website!

In this website, we use numerous examples with step-by-step instructions to calculate the correct solution. At this point , all of the examples use one or two Cranmer abacuses (abaci) or Japanese abacuses (abaci).  Future pages will  use other types of abaci. 

The number approximation for  Pi, to 12 decimal places using a Cranmer or Japanese abacus

If you are just beginning to learn to use an abacus, we suggest you start with the Getting Started pages.  Then, continue to develop you calculation skills for whole numbers and decimals, using the Addition, Subtraction, Multiplication, and Division pages. The Decimal page has quick links to the decimal sections in in the addition, subtraction, multiplication and division pages. Next, you can use the Fractions page to learn to add, subtract, multiply and divide fractions.   You may also find the link to A Short History of Numbers and the Abacus very interesting.  

Master the basic abacus skills by learning Counting and Setting Numbers, Direct Addition and Direct Subtraction

Next, learn to add numbers quickly by Grouping numbers by 5 or 10 or by Counting them.

Now, learn to subtract numbers by Grouping them by 5 and 10 or by Counting

When you have learned abacus addition, continue learning Multiplication (rapid addition) using the Single Abacus Approach, the simpler Double Abacus Approach, or by Counting

After you have learned Addition, Subtraction and Multiplication, you are ready to learn Division (rapid subtraction) using the Single Abacus Approach, the simpler Double Abacus Approach or by Counting

This section will help you learn to add, subtract, multiply and divide Fractions using the Single Abacus Approach or the simpler Double Abacus Approach

Building on the skills you have learned, this section provides quick links to adding, subtracting, multiplying and dividing Decimal numbers

Some learners may be interested in this article on the  History of Numbers and the Development of the Abacus

The material in this website is also available in book (PDF) format for you to download at no cost. Click on the link above to display the available books.