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Arithmetic: Quiz

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Question 1: In this common usage, the written form of the number implies the existence of ________.
Decimal separatorDecimalPositional notationNumeral system

Question 2: It is in this context that one runs across the fundamental theorem of arithmetic and ________.
Euler's totient functionMöbius functionMultiplicative functionArithmetic function

Question 3: In the 7th century, ________ established the use of zero as a separate number and determined the results for multiplication, division, addition and subtraction of zero and all other numbers, except for the result of division by zero.
Bhāskara IIBrahmaguptaIndian mathematicsAryabhata

Question 4: Prior to the works of ________ around 300 BC, Greek studies in mathematics overlapped with philosophical and mystical beliefs.
DemocritusAnaxagorasEuclidArchimedes

Question 5: In both cases, this origin resulted in values which used a ________ base but did not include positional notation.
DuodecimalArabic numeralsHexadecimalDecimal

Question 6: Also, the ________ is the reciprocal of any number (except zero; zero is the only number without a multiplicative inverse), that is, multiplying the reciprocal of any number by the number itself will yield the multiplicative identity.
Group (mathematics)Division (mathematics)Multiplicative inverseRational number

Question 7: The continuous historical development of modern arithmetic starts with the ________ of ancient Greece, although it originated much later than the Babylonian and Egyptian examples.
Seleucid EmpireHellenistic periodHellenistic civilizationAlexander the Great

Question 8: Arithmetic is performed according to an ________.
C (programming language)Operator overloadingOrder of operationsOperator associativity

Question 9: The ________ is 1, that is, multiplying any number by 1 will yield that same number.
3 (number)2 (number)1 (number)10 (number)

Question 10: The early number systems which included positional notation were not decimal, including the ________ system for Babylonian numerals and the vigesimal system which defined Maya numerals.
HexadecimalGreek numeralsDuodecimalSexagesimal







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