LOU SHOU Magic Square and Chinese Number System

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Which mathematical work greatly influenced written literature during the Zhou Dynasty (1050 – 256 BC)?

Yi Jing

What major discovery was made in 1899 in the Anyang district of Henan province?

Thousands of bones and tortoise shells inscribed with ancient Chinese characters

Which mathematician pointed out that the I Ching contained elements of binary numbers?

Leibniz

When did the Chinese fully develop a decimal system?

<p>During the Shang Dynasty (1600 – 1050 BC)</p> Signup and view all the answers

What practical use of Chinese mathematics is mentioned in the passage?

<p>Internet cryptography</p> Signup and view all the answers

Which of the following was not mentioned as an early mathematical development in China?

<p>Integral calculus</p> Signup and view all the answers

Who introduced the zero symbol into Chinese Mathematics?

<p>Qin Jiushao</p> Signup and view all the answers

What achievement did Qin Jiushao make in the field of mathematics?

<p>Solved a 10th order equation</p> Signup and view all the answers

Which mathematician made advances in algorithm development and algebra in China?

<p>Zhu Shijie</p> Signup and view all the answers

What did Chinese use instead of zeros in their system of counting rods before Qin Jiushao's innovation?

<p>Blank spaces</p> Signup and view all the answers

What was unique about Zhu Shijie's invention in Chinese algebra?

<p>Invented methods of four unknowns</p> Signup and view all the answers

What was a significant contribution of early Chinese mathematicians to mathematics?

<p>Development of place value decimal system</p> Signup and view all the answers

What is the significance of the Lo Shu Square, an order three magic square where each row, column and diagonal adds up to 15?

<p>It is believed to have great spiritual and religious significance, dating back to around 650 BCE.</p> Signup and view all the answers

What was the key feature of the ancient Chinese numbering system?

<p>It used small bamboo rods arranged to represent the numbers 1 to 9, placed in columns for units, tens, hundreds, etc.</p> Signup and view all the answers

What was the 'Jiuzhang Suanshu' or 'Nine Chapters on the Mathematical Art'?

<p>A book written over a period from about 200 BCE onwards, covering hundreds of problems in practical areas such as trade, taxation, engineering, and the payment of wages.</p> Signup and view all the answers

Which of the following mathematical concepts did the Chinese mathematician Liu Hui develop in the 3rd century CE?

<p>An algorithm to calculate the value of π to five decimal places, as well as an early form of integral and differential calculus.</p> Signup and view all the answers

What is the Chinese Remainder Theorem?

<p>A method for solving systems of linear congruences.</p> Signup and view all the answers

Which of the following statements about the ancient Chinese number system is incorrect?

<p>It used a place value system similar to the modern Hindu-Arabic numeral system.</p> Signup and view all the answers

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