How to use an Abacus

Diagram of a typical Chinese abacus set to zero - all heaven beads pushed up and all earth bead pushed down.

Heaven beads, each worth 5

Earth beads, each worth 1

Try the on-line Abacus

The Abacus utilizes a combination of two bases (base-2 and base-5) to represent decimal numbers. It is held horizontally with the smaller deck at the top. Each bead on the top deck has the value 5 and each bead on the lower deck has the value 1. The beads are pushed towards the central crossbar to show numbers. Working from right to left, the first vertical line represents units, the next tens, the next hundreds and so on.

So for example to show the number 9, on the first line, one heaven bead (top deck) would be moved down (representing 5 units) and 4 earth beads (bottom deck) would be moved up (each representing 4 units). To show the number 79, in addition to the beads in the first line used to make the number 9, one heaven bead would be moved down and two earth beads would be moved up on the second line, representing 5 tens and 2 tens respectively.

Addition on the abacus involves registering the numbers on the beads in the straight-forward left-to-right sequence they are written down in. As long as the digits are placed correctly, and the carry

Updated On: 15.07.28

  1. On 26-Oct-2015, Boberto wrote: 
    YOLO Swag
    Your reply to Boberto

  2. On 11-May-2015, Anonymous wrote: 
    Type your message here...Pls Can Sm1 Enlight Me Mre On Dis Abacus Wit D Help Of Diagram
    Your reply to Anonymous

  3. On 29-Dec-2014, Anonymous wrote: 
    Since the two heaven beads add to 10, and there are still the five earth beads, which means all of the beads towards the centre sums to 15, is it therefore possible to use the abacus for hexadecimal arithmetic?
    Your reply to Anonymous

  4. On 29-Dec-2014, Anonymous wrote: 
    Am I correct then that the abacus that is a logo for this, the site, reads 668 200 (six hundred sixty eight thousand and two hundred) and/or $6682.00, Euro, HRK, pounds, yen, rubles or whatever local currency floats ones boat? I have often seen abacuses (abaci? abacodes?) where there is also a bar running perpendicular for a decimal point, separating units from the tenths and hundreths, and naturally one without that bar can be used in the same way, or with the decimal point anywhere else...
    Your reply to Anonymous

  5. On 27-Dec-2014, Adamu wrote: 
    I attended mathematical workshop on the us of the Chinese abacus and could not understand anything until I read this ppiece on the web thanks alot.
    Your reply to Adamu

  6. On 15-Apr-2014, A.J wrote: 
    I like it!
    Your reply to A.J

  7. On 15-Apr-2014, S.Y wrote: 
    Your reply to S.Y

  8. On 10-Sep-2013, Anonymous wrote: 
    can anyone tell me why it is called the heaven and earth beads
    Your reply to Anonymous
    • On 11-Sep-2013, Peter Tong replied: 
      I could only guess that the ancient Chinese like to name things that is place on the top "heaven".
      Your reply to Peter Tong

  9. On 16-Jul-2013, Anonymous wrote: 
    i’m a math teacher and I find it hard to use it... I believe it’s hard for first timers.
    Your reply to Anonymous
    • On 06-Sep-2014, 4B replied: 
      An abacus isn\'t a calculator where you just punch numbers. Think of it as a computer game--you have to learn how to play it!
      Your reply to 4B

  10. On 27-Jun-2013, Ray wrote: 
    I have an Abacus given to me, that looks exactly like the one in the photo on your page. The third row in from each end, is a copper (?) rod which is thinner than the others. The others appear to be wood, or bambo. Are the copper rods only for structure, or do they have another purpose? My Abacus also has the same exact brass (?) corner brackets and the exact ornate brass (?) brackets that hold the divider bar in place. Could my Abacus be old? I do not know its origin.
    Your reply to Ray
    • On 06-Sep-2014, 4B replied: 
      Late to reply but your comment (antique appraisal) really isn\'t relevent to the discussion on how an abacus works.
      Your reply to 4B
    • On 27-Oct-2014, Anonymous replied: 
      what does that have to do with how to use an abacus ??
      Your reply to Anonymous

Leave your message, comment or feedback:
Your Name (shown) & Your E-mail (hidden) is used only to alert you when someone reply your message.  


Sponsored Ads