Chinese Numeration System
By: Elizabeth Williams
The traditional Chinese system was a base ten system, with symbols for the digits 0-9 and
symbols for the powers of ten. For example: Eleven was “ten one” in traditional Chinese, twelve “ten two”
Used small bamboo rods arranged to represent the numbers 1 to 9, which were then places in columns representing units, tens, hundreds, thousands, etc
Chinese numbering system, which dates back to at least the 2nd millennium BCE. Li Zhi gives the earliest source of the method, although it must have been invented before his time.
Chinese invented the numeral system and were adding, subtracting, multiplying and dividing at least 1,000 years before anyone else, with simple bamboo rods.
roots in the rod bundles used in China from as early as 475 BC
The earliest known text on arithmetic based on the current number system was written by an Arab in AD 825, but the earliest Chinese treatise on the rod numerals and procedures for multiplication and division - the sun zi suanjing - was written about 425 years earlier.
Still Use It?
While China has for many years uses adopted the Arabic numeral system familiar around the world, it also still uses its native Chinese character number system.
Arabic numerals were introduced to China as early as the Ming Dynasty (1368-1644) by merchants that traveled around the world, but some Chinese mathematicians still used Chinese numeral characters. After the Qing dynasty, though (1644-1912) it was replaced by Arabic numerals. China has historically been very influential in Asia, so Chinese influence likely accounts for use of Arabic numerals in other Asian countries, as well
The number 75 is written in Chinese using the characters 7, 10, and 5 or
You cannot put for 75.
Over more than 30 years, pored over ancient Chinese texts written in highly technical language and travelled the world hunting down works on mathematics
Arabic numerals are used in mathematics in China. The Chinese numbers are mainly used in writings.
The importance of these finds, as far as learning about the ancient Chinese number system, was that many of the inscriptions contained numerical information about men lost in battle, prisoners taken in battle, the number of sacrifices made, the number of animals killed on hunts, the number of days or months, etc. The number system which was used to express this numerical information was based on the decimal system and was both additive and multiplicative in nature.
Among the greatest mathematicians of ancient China was Liu Hui, who produced a detailed commentary on the “Nine Chapters” in 263 CE, was one of the first mathematicians known to leave roots unevaluated, giving more exact results instead of approximations.
By the 13th Century, the Golden Age of Chinese mathematics, there were over 30 prestigious mathematics schools scattered across China
Mathematics was both Practical and Spiritual
Chinese mathematics came about because of the needs of the empire for administrative services. Things like surveying, taxations, calendar making, etc.
Used counting board like the Romans
The system included 0 which many other systems don’t use.
Multiplication and addition aren't to hard, which is good by the 0 and the base ten understanding
Numbers were so easy they could be changed or forged in banknotes. This made them have to make an entirely new number system for business and ceremonial use
Even though it was smaller than other number systems still had twice as many symbols as we use in our number system
Adding, Subtracting, Multipling
Addition: The counting of rods for the two numbers placed down, one number above the other. The digits added left to right with carries where needed.
Subtraction is similar to Addition
Multiplication: Multiplication table to 9 times 9 memorized. Long multiplication similar to ours with advantages due to physical rods
They used their hands to make the numbers for example ASL Y would be 6
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