# Babylonian Numeration System

### Maddy Robinson and Jason Martinez

## Basis of the Numeration System

The Babylonians had a very advanced number system which was a base sixty system rather than a base ten, which is what we use today. The Babylonians developed a form of writing based on cuneiform. Cuneiform means "wedge shape" in Latin. They wrote these symbols on wet clay tablets which were baked in the hot sun.

## Functions

## Multiplying

- The Babylonians used the formula:
*ab*= [(*a*+*b*)**2****-***a***2****-***b***2****]/2**to make multiplication easier. - Even better is their formula:
*ab*= [(*a*+*b*)**2****- (***a*-*b*)**2****]/4**which shows that a table of squares is all that is necessary to multiply numbers, simply taking the difference of the two squares that were looked up in the table then taking a quarter of the answer.

## Important Information

- The Babylonians did not have a symbol for zero, but they did use the idea of zero. When they wanted to express zero, they just left a blank space in the number they were writing.
- The Babylonian Empire was one of the great empires that dominated the region of Mesopotamia.
- Babylon was located in what is now the Iraqi region.

## Citations

- "Ancient Babylonia (Babylon the Great)." *Ancient Babylonia (Babylon the Great)*. Web. 10 May 2016.

- "An Overview of Babylonian Mathematics." *Babylonian Mathematics*. Web. 10 May 2016.

- "Babylonia." *Wikipedia*. Wikimedia Foundation. Web. 09 May 2016.

- "Babylonian Culture." *Art History Summary Periods and Movements through Time*. 2012. Web. 10 May 2016.

-"Dividing Sign." *Dividing Sign*. Web. 10 May 2016.

- "Image Gallery:." *British Museum*. Web. 09 May 2016.

- "RelatedCliparts:." *Multiplication Clip Art*. Web. 10 May 2016.

- "The Saga of Mathematics: A Brief History." *Babylonian Multiplication*. Web. 09 May 2016.