Math 4109 Exam 2 Questions and
Answers 100% pass
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 X^0.5? - ✔✔a+b+c
How was ancient Chinese mathematics different from ancient Greek mathematics? -
✔✔The Chinese mathematics did not have a proof-based axiomatic development.
The method that Liu Hui used to approximate the value of pi was similar to the method
used by which Greek mathematician? - ✔✔Archimedes
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
True or False: The Chinese numeration system that requred the use of a counting board
and rods was not a positional system. - ✔✔False
The Nine Chapters on the Mathematical Art was central to the development of
mathematics in which country? - ✔✔China
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.
Which set of numbers was used on the counting boards of the ancient Chinese? -
✔✔Integers -- both postive and negative
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.
What strategy did the Chinese use on their counting boards to avoid confusion between
consecutive places? - ✔✔Alternating the orientation of the rods
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.
Which mathematician/poet used geometric methods to solve cubic equations? -
✔✔Omar Khayyam
The Islamic mathematician, al-Khwarizmi, made his most significant contributions to
which topic in mathematics? - ✔✔Solving equations
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 FIRST "translation movement?" - ✔✔The movement to translate the
world's knowledge into Arabic.
What was the significance of The Book on Addition and Subtraction? - ✔✔It explained
the use of the Hindu decimal system of numerals.
Which city was the academic and intellectual center of the Islamic Empire and the home
to the House of Wisdom? - ✔✔Baghdad
In what area did the mathematician, Al-Uqlidisi, make his contributions? - ✔✔Decimal
fractions
In what branch of mathematics were the most important contributions of the Islamic
mathematicians? - ✔✔Algebra
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 2
Answers 100% pass
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 X^0.5? - ✔✔a+b+c
How was ancient Chinese mathematics different from ancient Greek mathematics? -
✔✔The Chinese mathematics did not have a proof-based axiomatic development.
The method that Liu Hui used to approximate the value of pi was similar to the method
used by which Greek mathematician? - ✔✔Archimedes
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
True or False: The Chinese numeration system that requred the use of a counting board
and rods was not a positional system. - ✔✔False
The Nine Chapters on the Mathematical Art was central to the development of
mathematics in which country? - ✔✔China
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.
Which set of numbers was used on the counting boards of the ancient Chinese? -
✔✔Integers -- both postive and negative
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.
What strategy did the Chinese use on their counting boards to avoid confusion between
consecutive places? - ✔✔Alternating the orientation of the rods
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.
Which mathematician/poet used geometric methods to solve cubic equations? -
✔✔Omar Khayyam
The Islamic mathematician, al-Khwarizmi, made his most significant contributions to
which topic in mathematics? - ✔✔Solving equations
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 FIRST "translation movement?" - ✔✔The movement to translate the
world's knowledge into Arabic.
What was the significance of The Book on Addition and Subtraction? - ✔✔It explained
the use of the Hindu decimal system of numerals.
Which city was the academic and intellectual center of the Islamic Empire and the home
to the House of Wisdom? - ✔✔Baghdad
In what area did the mathematician, Al-Uqlidisi, make his contributions? - ✔✔Decimal
fractions
In what branch of mathematics were the most important contributions of the Islamic
mathematicians? - ✔✔Algebra
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 2
