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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.
A grid is drawn up, and each cell is split diagonally. The two multiplicands of the product to be calculated are written along the top and right side of the lattice, respectively, with one digit per column across the top for the first multiplicand (the number written left to right), and one digit per row down the right side for the second multiplicand (the number written top-down).
Twenty-one bamboo strips of the Tsinghua Bamboo Strips, when assembled in the correct order, represent a decimal multiplication table that can be used to multiply numbers (any whole or half integer) up to 99.5. [3] Joseph Dauben of the City University of New York called it "the earliest artefact of a decimal multiplication table in the world". [3]
Download as PDF; Printable version; ... Pages in category "Chinese mathematics" ... Chinese multiplication table; Chinese numerals; Counting rods; F.
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The oldest known multiplication tables were used by the Babylonians about 4000 years ago. [2] However, they used a base of 60. [2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period. [2] "Table of Pythagoras" on Napier's bones [3]
Using the Chinese multiplication table and division, 30÷7 equals 4 remainder 2. Place the quotient, 4, in the top row and the remainder, 2, in the middle row. Move the divisor one place to the right, changing it to vertical form. 29÷7 equals 4 remainder 1.