Math 4109 Module 8-15 Exam 2025
Questions and Answers 100% Pass
How was ancient Chinese mathematics different from ancient Greek mathematics? -
✔✔The Chinese mathematics did not have a proof-based axiomatic development.
Which set of numbers was used on the counting boards of the ancient Chinese? -
✔✔Integers -- both postive and negative
What strategy did the Chinese use on their counting boards to avoid confusion between
consecutive places? - ✔✔Alternating the orientation of the rods
We have used the word "gnomon" in several places during this course, particularly
during the module on ancient Chinese mathematics. What letter of the alphabet is a
gnomon shaped like? - ✔✔L
The method that Liu Hui used to approximate the value of pi was similar to the method
used by which Greek mathematician? - ✔✔Archimedes
The Nine Chapters on the Mathematical Art was central to the development of
mathematics in which country? - ✔✔China
True or False: The Chinese numeration system that required the use of a counting board
and rods was not a positional system. - ✔✔False
Chinese Square Root Algorithm: If a, b, and c are the digits (respectively) of the square
root of x, then which of the following is equal to sqrtx ? - ✔✔100a+10b+c
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 1
, Why is the book Nine Chapters on the Mathematical Art significant in the history of
mathematics? - ✔✔It is central to Chinese mathematical activity for hundreds of years.
Why did Chinese mathematics develop independently of Western cultural influence for
so long? - ✔✔The geography of China isolated the region from the rest of the world.
The mathematician, al-Khwarizmi, used a symbol for zero in his book about
numeration. - ✔✔true
During the period of the Islamic Empire, negative numbers were acceptable solutions of
quadratic equations. - ✔✔False
What was the significance of The Book on Addition and Subtraction? - ✔✔It explained
the use of the Hindu decimal system of numerals.
In what area did the mathematician, Al-Uqlidisi, make his contributions? - ✔✔Decimal
fractions
The Islamic mathematician, al-Khwarizmi, made his most significant contributions to
which topic in mathematics? - ✔✔Solving Equation
To what did "al-Jabr" and "al-Muqabala" refer in the title of al-Khwarizmi's book? -
✔✔The operations used during the Islamic Empire to solve equations.
What was the FIRST "translation movement?" - ✔✔The movement to translate the
world's knowledge into Arabic.
Which city was the academic and intellectual center of the Islamic Empire and the home
to the House of Wisdom? - ✔✔Baghdad
In what branch of mathematics were the most important contributions of the Islamic
mathematicians? - ✔✔Algebra
Which mathematician/poet used geometric methods to solve cubic equations? -
✔✔Omar Khayyam
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 2
Questions and Answers 100% Pass
How was ancient Chinese mathematics different from ancient Greek mathematics? -
✔✔The Chinese mathematics did not have a proof-based axiomatic development.
Which set of numbers was used on the counting boards of the ancient Chinese? -
✔✔Integers -- both postive and negative
What strategy did the Chinese use on their counting boards to avoid confusion between
consecutive places? - ✔✔Alternating the orientation of the rods
We have used the word "gnomon" in several places during this course, particularly
during the module on ancient Chinese mathematics. What letter of the alphabet is a
gnomon shaped like? - ✔✔L
The method that Liu Hui used to approximate the value of pi was similar to the method
used by which Greek mathematician? - ✔✔Archimedes
The Nine Chapters on the Mathematical Art was central to the development of
mathematics in which country? - ✔✔China
True or False: The Chinese numeration system that required the use of a counting board
and rods was not a positional system. - ✔✔False
Chinese Square Root Algorithm: If a, b, and c are the digits (respectively) of the square
root of x, then which of the following is equal to sqrtx ? - ✔✔100a+10b+c
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 1
, Why is the book Nine Chapters on the Mathematical Art significant in the history of
mathematics? - ✔✔It is central to Chinese mathematical activity for hundreds of years.
Why did Chinese mathematics develop independently of Western cultural influence for
so long? - ✔✔The geography of China isolated the region from the rest of the world.
The mathematician, al-Khwarizmi, used a symbol for zero in his book about
numeration. - ✔✔true
During the period of the Islamic Empire, negative numbers were acceptable solutions of
quadratic equations. - ✔✔False
What was the significance of The Book on Addition and Subtraction? - ✔✔It explained
the use of the Hindu decimal system of numerals.
In what area did the mathematician, Al-Uqlidisi, make his contributions? - ✔✔Decimal
fractions
The Islamic mathematician, al-Khwarizmi, made his most significant contributions to
which topic in mathematics? - ✔✔Solving Equation
To what did "al-Jabr" and "al-Muqabala" refer in the title of al-Khwarizmi's book? -
✔✔The operations used during the Islamic Empire to solve equations.
What was the FIRST "translation movement?" - ✔✔The movement to translate the
world's knowledge into Arabic.
Which city was the academic and intellectual center of the Islamic Empire and the home
to the House of Wisdom? - ✔✔Baghdad
In what branch of mathematics were the most important contributions of the Islamic
mathematicians? - ✔✔Algebra
Which mathematician/poet used geometric methods to solve cubic equations? -
✔✔Omar Khayyam
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 2
