Understanding the million to billion converter — concept and principle
This converter changes numbers between millions, billions, thousands and trillions and the Korean units 만 (man, 10⁴), 억 (eok, 10⁸) and 조 (jo, 10¹²). It shows the result, the number in billions, millions, eok and man, the Korean reading and the full figure. It helps when reading English financial news in Korean, or Korean figures in English.
How it is calculated
- 1 billion = 1,000 million; millions ÷ 1,000 = billions
- Korean units: 만 = 10⁴, 억 = 10⁸, 조 = 10¹²
- 1 million = 100만; 100 million = 1억; 1 billion = 10억; 1 trillion = 1조
- Plain number = value × size of the "from" unit; result = plain number ÷ size of the "to" unit
- Korean reading splits the number into 조, 억 and 만 groups
The principle
English counts large numbers in steps of 1,000 (thousand, million, billion), while Korean, like Chinese and Japanese, counts in steps of 10,000 (만, 억, 조). The two ladders meet only at certain points: 10¹² is both a trillion and 1조. Elsewhere, numbers must be regrouped, which is where most translation errors happen. Converting through the plain number avoids them.
Worked example
Default: 750 million to billions.
- Plain number = 750 × 10⁶ = 750,000,000.
- Result = 750,000,000 ÷ 10⁹ = 0.75 billion.
- In millions 750; in billions 0.75.
- In 억 = 750,000,000 ÷ 10⁸ = 7.5; in 만 = 75,000.
- Korean reading: 7억 5,000만; full figure 750,000,000.
| Number | Result |
|---|---|
| 188 | 0.1875 billion |
| 375 | 0.375 billion |
| 562 | 0.5625 billion |
| 750 | 0.75 billion |
| 938 | 0.9375 billion |
| 1,125 | 1.125 billion |
| 1,500 | 1.5 billion |
How to read the result
A quick rule: 1 billion = 10억, so multiply billions by 10 to get 억. For dollars, 0.75 billion dollars is 7억 5,000만 dollars, which in won depends on the exchange rate. Always convert the number first and the currency second.
Common mistakes
- Translating "billion" as 억 instead of 10억.
- Translating "million" as 만 instead of 100만.
- Grouping Korean figures in threes, which hides the 만 and 억 boundaries.
- Converting the currency and the number in one rough step.
Frequently asked questions
How much is 1 billion in Korean?
10억.
How much is 100 million?
1억.
How many millions are in a billion?
1,000.
Why does Korean use 만 and 억?
Korean counts in groups of four digits, so each new unit is 10,000 times the previous one.
Sources: Merriam-Webster's Collegiate Dictionary, entries "billion" and "trillion"