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MATH 4109 FINAL EXAM REVIEW | COMPLETE QUESTIONS WITH 100% RATED EXPERT SOLUTIONS |2026 LATEST UPDATED

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MATH 4109 FINAL EXAM REVIEW | COMPLETE QUESTIONS WITH 100% RATED EXPERT SOLUTIONS |2026 LATEST UPDATED

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MATH 4109 FINAL EXAM REVIEW | COMPLETE QUESTIONS WITH

100% RATED EXPERT SOLUTIONS |2026 LATEST UPDATED

Which branch of science was most closely related to the Aryans of ancient India? -

(answer)Astronomy




Which empire transmitted the Indian numeration system to the west? - (answer)Islamic empire




What motivated the standardization of symbols in our numeration system? - (answer)The

invention of the printing press




What was the most famous and important invention of Indian mathematicians? - (answer)base

ten numeration system




how was geometry used in the religion text, the Vedas? - (answer)geometry was used to construct

altars




under what circumstances did the ancient Indians use the Pythagorean Theorem - (answer)the

theorem is used to find the length of the diagonals of squares and rectangles

,what prompted the ancient Indians to invent their numeration system - (answer)we do not know




what are the Vedas - (answer)religious texts




how did the writing materials of the ancient Indians affect the development of their algorithms

for computing - (answer)the small writing space required the ability to erase a digit as soon as it

was no longer needed




what is the primary feature of the numeration system in ancient India - (answer)it was a place

value system




8) What strategy did the Chinese use on their counting boards to avoid confusion between

consecutive places? - (answer)Alternating the orientation of the rods




Why did Chinese mathematics develop independently of Western cultural influence for so long?

- (answer)The geography of China isolated the region from the rest of the world.




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 squareroot(x)? - (answer)100a + 10b + c

, True or False: The Chinese numeration system that required the use of a counting board and rods

was not a positional system. - (answer)false




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? -

(answer)L




The Nine Chapters on the Mathematical Art was central to the development of mathematics in

which country? - (answer)China




The method that Liu Hui used to approximate the value of π was similar to the method used by

which Greek mathematician? - (answer)Archimedes




Which set of numbers was used on the counting boards of the ancient Chinese? -

(answer)Integers -- both postive and negative




Why is the book Nine Chapters on the Mathematical Art significant in the history of

mathematics? - (answer)It is central to Chinese mathematical activity for hundreds of years.

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