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mathematics
survey of mathematics
Questions and Answers of
Survey of Mathematics
State the name of the property illustrated.c + d = d + c
Evaluate the expression.(a) 25(b) 52
Multiply using Napier’s rods.3 x 43
Convert the given numeral to a numeral in base 10.C67916
Write the Roman numeral as a Hindu–Arabic numeral.XXXIX
Multiply using Napier’s rods.4 x 58
Convert the given numeral to a numeral in base 10.D20E16
Write the Roman numeral as a Hindu–Arabic numeral.CXCIV
Multiply using Napier’s rods.5 x 79
Convert each of the following to a numeral in the base indicated.7 to base 2
Write the Roman numeral as a Hindu–Arabic numeral.CDLXXXVIII
Multiply using Napier’s rods.6 x 171
Convert each of the following to a numeral in the base indicated.11 to base 2
Write the Roman numeral as a Hindu–Arabic numeral.MMDCXLII
Babylonian numeral as a HinduArabic numeral. I
Multiply using Napier’s rods.5 x 125
Convert each of the following to a numeral in the base indicated.23 to base 3
Write the Roman numeral as a Hindu–Arabic numeral.MCMLXIV
Multiply using Napier’s rods.75 x 125
Write the Roman numeral as a Hindu–Arabic numeral.MMCMXLVI
Write the numeral as a Babylonian numeral.32
Multiply using Napier’s rods.9 x 6742
Convert each of the following to a numeral in the base indicated.190 to base 4
Write the Roman numeral as a Hindu–Arabic numeral.MDCCXLVI
Write the Roman numeral as a Hindu–Arabic numeral.I̅V̅CDXCIX
Convert each of the following to a numeral in the base indicated.591 to base 4
Write the numeral as a Babylonian numeral.471
We show lattice multiplications.(a) Determine the numbers being multiplied.(b) Determine the product. 8. 00
Convert each of the following to a numeral in the base indicated.102 to base 5
Write the numeral as a Babylonian numeral.512
We show lattice multiplications.(a) Determine the numbers being multiplied.(b) Determine the product. 8 4 5.
Convert each of the following to a numeral in the base indicated.549 to base 7
Write the numeral as a Babylonian numeral.3605
Write the numeral as a Babylonian numeral.12,435
Multiply in the indicated base. 324 х 34
(a) Use lattice multiplication to perform the multiplication. (Be sure not to list any number greater than or equal to the base within the box.) Write the answer in the base in which the exercise is
Write the numeral as a Roman numeral.744
Write the Babylonian numeral as a HinduArabic numeral.
Write the Mayan numeral as a HinduArabic numeral.
Convert the numeral to a Hindu–Arabic numeral.I̅V̅CDLXVII
Multiply in the base indicated. 345 x 215
What is the difference between a number and a numeral?
Multiply in the base indicated. 12612 x 4712
What is a system of numeration?
Multiply in the base indicated. 1A316 х 1216
Write the Roman numeral for 999,999.
Divide in the base indicated.23√1203
Divide in the base indicated.24√3204
Divide in the base indicated.35√1305
Words and numerals that read the same both backward and forward are called palindromes. Some examples are the words CIVIC and RACECAR, and the numerals 121 and 32523. Using Roman numerals, list the
Divide in the base indicated.46√30206
Which year in the past 2000 years required the most Roman numerals to write? Write out the year in Roman numerals.
Divide in the base indicated.36√20346
Divide in the base indicated.68√50728
Multiply 125 x 23,using the duplation and mediation method.
Multiply 125 x 23,using lattice multiplication.
Multiply 125 x 23,using Napier’s rods.
Write the Mayan numeral as a HinduArabic numeral.
Write the numeral as a Roman numeral.4285
Write the Mayan numeral as a HinduArabic numeral. •.
Convert 2017 to a numeral in the base indicated.4
Write the numeral as a Roman numeral.4793
Convert 2017 to a numeral in the base indicated.5
Write the numeral as a Roman numeral.6274
Convert 2017 to a numeral in the base indicated.6
Write the numeral as a Roman numeral.9999
Convert 2017 to a numeral in the base indicated.7
Write the numeral as a Roman numeral.14,315
Write the Mayan numeral as a HinduArabic numeral.
Write the numeral as a Mayan numeral.406
Convert 2017 to a numeral in the base indicated.9
Write the numeral as a Roman numeral.46,281
Write the Mayan numeral as a HinduArabic numeral.
Divide in the indicated base.24√3124
Convert 2017 to a numeral in the base indicated.12
Write the numeral as a Roman numeral.89,119
Write the Mayan numeral as a HinduArabic numeral.
Divide in the indicated base.28√7308
Write the numeral as a Mayan numeral.21,846
Convert 2017 to a numeral in the base indicated.16
Write the numeral in the indicated systems of numeration.In HinduArabic and Babylonian
Divide in the indicated base.37√5067
Write the Hindu–Arabic numeral as a Mayan numeral.69
Write the numeral in the indicated systems of numeration.In HinduArabic and Mayan くくくIII
Divide in the indicated base.45√3025
Write the Hindu–Arabic numeral as a Mayan numeral.812
Assume the numerals given are in a base 5 numeration system. Assume the numerals in this system and their equivalent HinduArabic numerals areWrite the HinduArabic numerals
Divide in the indicated base.38√2008
Write the Hindu–Arabic numeral as a Mayan numeral.1571
Assume the numerals given are in a base 5 numeration system. Assume the numerals in this system and their equivalent HinduArabic numerals areWrite the HinduArabic numerals
Divide in the indicated base.48√2528
Write the Hindu–Arabic numeral as a Mayan numeral.17,913
Describe two ways that the Mayan place-value system differs from the Hindu–Arabic place-value system.
Write the Hindu-Arabic numerals in the numeration system. Assume the numerals given are in a base 5 numeration system.19
Divide in the indicated base.24√2134
(a) The Babylonian system did not have a symbol for zero. Why did this lead to some confusion(b) Write 133 and 7980 as Babylonian numerals.
Write the Hindu-Arabic numerals in the numeration system. Assume the numerals given are in a base 5 numeration system.23
Divide in the indicated base.56√2146
(a) Write the Mayan numeral for 999,999.(b) Write the Babylonian numeral for 999,999.
Write the Hindu-Arabic numerals in the numeration system. Assume the numerals given are in a base 5 numeration system.74
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