During the Song and Yuan Dynasties, the concept of decimal was further popularized and expressed more clearly. Yang Hui's daily arithmetic (1262) has the formula of "two Jin conversion": "Find one, interval 625; Second, abdicate 125 ",that is,116 = 0.0625; 2/ 16=0. 125。 Here, "separation" and "abdication" already mean the position of decimal point. In Qin dynasty, units are placed under the chip representing integer units. For example,-Ⅲ-Ⅱ means 13. 12 inch is the earliest decimal notation in the world.
In Europe and Islamic countries, sexagesimal of Babylon has been in a dominant position for a long time, and some classic scientific works have also adopted sexagesimal, so the concept of decimal has never been developed. /kloc-Alkasi in Central Asia in the 0/5th century (? ~ 1429) is the first person to use decimals outside China. European mathematicians didn't start to consider decimals until16th century, among which Steven (1548 ~ 1620), a Dutchman, clearly expressed the method in On Decimal System (1583). The first person to express decimals as a universal form in the world today is the German mathematician kravis (1537 ~ 16 12), who began to use decimal points as a separator between integer parts and decimal parts in his book Astral Chart (1593).