Egyptian Numerals
An ancient additive decimal system using hieroglyphic symbols
About Egyptian Numerals
Egyptian numerals were used in ancient Egypt from around 3000 BCE. The system is purely additive: each power of ten has a distinct hieroglyph, and numbers are written by repeating the symbols as many times as needed. There is no subtraction (unlike Roman numerals) and no symbol for zero.
Symbols are written from left to right, with the largest values first. The same symbol is repeated up to nine times for a given place (e.g., nine strokes for 9, nine heel bones for 90).
Key Features:
- Seven basic symbols (Gardiner): Z1 stroke (1), V20 cattle hobble (10), V1 coil of rope (100), M12 lotus (1000), D50 bent finger (10000), I8 froglet (100000), C011 Heh (1000000).
- Purely additive: values are summed (e.g., two heel bones + three strokes = 23).
- No symbol for zero.
- Written top to bottom (highest value first), then left to right within each rowβas on the Karnak carving (e.g. 4622).
- Used on monuments, papyri, and in administrative and religious texts.
Further Reading:
Egyptian Numeral Table
Basic Symbols (powers of 10)
| Value | Egyptian Hieroglyph | Name |
|---|---|---|
| 1 | πΉ | Z1 Stroke |
| 10 | π | V20 Cattle hobble |
| 100 | π | V1 Coil of rope |
| 1000 | πΌ | M12 Lotus (water lily) |
| 10000 | π | D50 Bent finger |
| 100000 | π | I8 Froglet |
| 1000000 | π¨ | C011 Heh (million) |
Examples of Numbers:
| Value | Egyptian Numeral |
|---|---|
| 12 | π πΉπΉ |
| 85 | ππππππππ πΉπΉπΉπΉπΉ |
| 153 | π πππππ πΉπΉπΉ |
| 999 | πππππππππ πππππππππ πΉπΉπΉπΉπΉπΉπΉπΉπΉ |
| 1234 | πΌ ππ πππ πΉπΉπΉπΉ |
| 12345 | π πΌπΌ πππ ππππ πΉπΉπΉπΉπΉ |
| 54321 | πππππ πΌπΌπΌπΌ πππ ππ πΉ |