Dozens to Yi / Oku (doz to yi)
1 dozen equals 1.2×10⁻⁷ yi / oku exactly.
How to convert dozens to yi / oku
To convert dozens to yi / oku, multiply the number of dozens by 1.2×10⁻⁷. This factor is exact. To go the other way, multiply yi / oku by 8,333,333.333 (rounded).
yi / oku = dozens × 1.2×10⁻⁷
Example: 10 dozens = 0.0000012 yi / oku.
Large-number names differ around the world: this site uses the short scale (billion = 10⁹) by default, and lists the long-scale billion separately.
About these units
Dozen (doz)
Twelve items. Eggs, rolls and many goods are still sold by the dozen.
Dozen entered English from Old French douzaine, a group of twelve, built from douze, which comes from Latin duodecim, plus a suffix that makes a collective. Twelve earned its popularity partly by dividing evenly: it splits into halves, thirds, quarters, and sixths, which helps when sharing goods. One suggestion is that the roughly dozen lunar months in a solar year made twelve one of the earliest groupings.
Even in a decimal age, dozens persist in commerce, often for foods such as eggs. Larger multiples extend the system by twelves: a gross is 12 dozen, or 144, and a great gross is 12 gross, or 1,728. The idiom six of one, half a dozen of the other uses the unit to say two options come to the same thing. Twelve also gave English the baker's dozen, which adds one more.
1 dozen = 12 pieces (exactly).
Sources: Wikipedia: Dozen
Yi / Oku (East Asian) (yi)
One hundred million (10⁸), written 億 / 亿 in Chinese and Japanese (oku) and Korean (eok). East Asian counting groups numbers by myriads.
Chinese counting does not group digits in threes. It groups them in fours, so 1,234,567,890 is read as 12 yi, 3456 wan, 7890. Wan is 10,000 and yi is 10,000 times wan, giving 100,000,000. In Japanese the same character is read oku and in Korean eok. The yi is therefore a pure number with no physical dimension, and its base here is simply one.
This myriad system differs from English, which builds on thousands. One million is 100 wan, and one billion in the short scale is 10 yi, since these languages have no native words for powers of one thousand. Ancient texts wrote 10,000 squared as wan wan before yi became the name. Older usage differed, and yi once stood for 10 to the 5th. The next unit, zhao, is 10 to the 12th in Taiwan, Japan and Korea, but mainland China has used it for a million, so official documents avoid it.
1 yi / oku (East Asian) = 100,000,000 pieces (exactly).
Sources: Wikipedia: Chinese numerals; Wikipedia: Myriad
Related conversions
- Yi / oku to dozens (reverse)
- Dozens to pieces
- Dozens to lakhs
- Dozens to millions
- Dozens to crores
- Dozens to billions (short scale)
- Dozens to pairs
- Dozens to hundred
- Dozens to gross
- Dozens to thousand
- Dozens to trillions (short scale)
- Dozens to score
- Dozens to half dozens
- Pieces to yi / oku
- Lakhs to yi / oku
- Millions to yi / oku
- Crores to yi / oku
- Billions (short scale) to yi / oku
See all counting & quantity units.