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Week in Review # 4MATH 365 Marcia Drost3.1cDrost, 2005Created and complied by Sherry Scarborough with thanks for additional problems fromZach Barcevac, Lynnette Cardenas, Greg Klein, David Manuel, Jane Schielack, and JennWhitfield.1. Change 123sevento base three.2. Write the number preceding and succeeding the following numbers.ETTtwelve12011three3. Using the definition of an, where n is any natural number, show the intermediate step.65= = 77764. In the Egyptian numeration system, write the number 114,739.5. What is 63ninein base eight?6. What system did the Babylonian numeration system use and explain what it means?7. In the Mayan numeration system write the number 395.8. Convert ET 2twelveto base ten.9. What is wrong with the numeral 34210four?10. Name two properties that the Roman system has that Hindu Arabic system does nothave and explain what they mean.11. Write the first twenty counting numbers in base four.12. If 12b=13five, what number base b is being used?13. Convert 5604tento base eleven.14. What symbol did the Mayans have that was not present in the Eqyptian or earlyBabylonian systems?15. In the Babylonian numeration system, write the number 351.16. What property did the Egyptian numeration system have and explain what it means?17. Write 2003 in Roman numerals.18. True or False:a. Base seven has six digits.b. For n ∈ N and a ∈ W , na = a · a · a · ...a [n factors of a]c. 34· 37=328d. The largest digit in base six is 6.19. Convert V DCCXLV III to Hindu-Arabic numerals.20. Complete the chart.Base TWELVE Base TEN Base EIGHT Base FIVE Base TWO46ten42eig h


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