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Math 4109 Exam 2 with Correct Answers Verified Latest 2025.pdf

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, 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? - CORRECT ANSWERS-a+b+c

How was ancient Chinese mathematics different from ancient Greek mathematics? -
CORRECT ANSWERS-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? - CORRECT ANSWERS-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? - CORRECT ANSWERS-L

True or False: The Chinese numeration system that requred the use of a counting board
and rods was not a positional system. - CORRECT ANSWERS-False

The Nine Chapters on the Mathematical Art was central to the development of
mathematics in which country? - CORRECT ANSWERS-China

Why did Chinese mathematics develop independently of Western cultural influence for
so long? - CORRECT ANSWERS-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? -
CORRECT ANSWERS-Integers -- both postive and negative

Why is the book Nine Chapters on the Mathematical Art significant in the history of
mathematics? - CORRECT ANSWERS-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? - CORRECT ANSWERS-Alternating the orientation of the rods

To what did "al-Jabr" and "al-Muqabala" refer in the title of al-Khwarizmi's book? -
CORRECT ANSWERS-The operations used during the Islamic Empire to solve
equations.

Which mathematician/poet used geometric methods to solve cubic equations? -
CORRECT ANSWERS-Omar Khayyam

The Islamic mathematician, al-Khwarizmi, made his most significant contributions to
which topic in mathematics? - CORRECT ANSWERS-Solving equations

The mathematician, al-Khwarizmi, used a symbol for zero in his book about numeration.
- CORRECT ANSWERS-True

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