LOU SHOU Magic Square and Chinese Number System
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Questions and Answers

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

  • Counting rods
  • Yi Jing (correct)
  • Decimal system
  • Oracle of bone script

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

  • Elements of binary numbers in the I Ching
  • Thousands of bones and tortoise shells inscribed with ancient Chinese characters (correct)
  • The Chinese remainder theorem
  • The capital of the Late Shang dynasty

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

  • Chinese astronomers
  • Sun Tzu
  • Shang dynasty mathematicians
  • Leibniz (correct)

    • 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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