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Mathematics emerged independently in China by the 11th century BCE. [1] The Chinese independently developed a real number system that includes significantly large and negative numbers, more than one numeral system (binary and decimal), algebra, geometry, number theory and trigonometry.
The Mathematical Treatise of Sunzi used decimal fraction metrology. The unit of length was 1 chi, 1 chi = 10 cun, 1 cun = 10 fen, 1 fen = 10 li, 1 li = 10 hao, 10 hao = 1 shi, 1 shi = 10 hu. 1 chi 2 cun 3 fen 4 li 5 hao 6 shi 7 hu is laid out on counting board as where is the unit measurement chi.
Counting rods (筭) are small bars, typically 3–14 cm (1" to 6") long, that were used by mathematicians for calculation in ancient East Asia.They are placed either horizontally or vertically to represent any integer or rational number.
The Tsinghua Bamboo Slips, containing the world's earliest decimal multiplication table, dated 305 BC during the Warring States period. The Chinese multiplication table is the first requisite for using the Rod calculus for carrying out multiplication, division, the extraction of square roots, and the solving of equations based on place value decimal notation.
The lattice technique can also be used to multiply decimal fractions. For example, to multiply 5.8 by 2.13, the process is the same as to multiply 58 by 213 as described in the preceding section. For example, to multiply 5.8 by 2.13, the process is the same as to multiply 58 by 213 as described in the preceding section.
To construct a fraction, the denominator is written first, followed by 分; fēn; 'part', then the literary possessive particle 之; zhī; 'of this', and lastly the numerator. This is the opposite of how fractions are read in English, which is numerator first. Each half of the fraction is written the same as a whole number.
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