{"id":16010,"date":"2021-04-01T23:56:45","date_gmt":"2021-04-01T23:56:45","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/chapter\/assignment-historical-counting-systems-problem-set\/"},"modified":"2021-06-29T18:06:10","modified_gmt":"2021-06-29T18:06:10","slug":"assignment-historical-counting-systems-problem-set","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/chapter\/assignment-historical-counting-systems-problem-set\/","title":{"raw":"Module 1 Problem Set","rendered":"Module 1 Problem Set"},"content":{"raw":"Counting Board And Quipu<\/strong>\r\n\r\n1)\u00a0\u00a0\u00a0\u00a0\u00a0 In the following Peruvian counting board, determine how many of each item is represented. Please show all of your calculations along with some kind of explanation of how you got your answer. Note the key at the bottom of the drawing.\r\n\r\n\"\"<\/a>\r\n\r\n2) \u00a0Draw a quipu with a main cord that has branches (H cords) that show each of the following numbers on them. (You should produce one drawing for this problem with the cord for part a<\/strong> on the left and moving to the right for parts b<\/strong> through d<\/strong>.)\r\n

(a) 232<\/p>\r\n

(b) 5065<\/p>\r\n

(c) 23,451<\/p>\r\n

(d) 3002<\/p>\r\nBasic Base Conversions<\/strong>\r\n\r\n1)\u00a0\u00a0\u00a0\u00a0\u00a0 423 in base 5 to base 10\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2) 3044 in base 5 to base 10\r\n\r\n \r\n\r\n3)\u00a0\u00a0\u00a0\u00a0\u00a0 387 in base 10 to base 5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4) 2546 in base 10 to base 5\r\n\r\n \r\n\r\nMayan Conversions<\/strong>\r\n\r\nConvert the following numbers to Mayan notation. Show your calculations used to get your answers.<\/em>\r\n\r\n \r\n\r\n1)\u00a0\u00a0\u00a0\u00a0\u00a0 135\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2) 234\r\n\r\n \r\n\r\n3)\u00a0\u00a0\u00a0\u00a0\u00a0 360\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4) 1,215\r\n\r\n \r\n\r\n5)\u00a0\u00a0\u00a0\u00a0\u00a0 10,500\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 6) 1,100,000\r\n\r\n \r\n\r\nConvert the following Mayan numbers to decimal (base<\/em>-10) numbers. Show all calculations.<\/em>\r\n\r\n\r\n\r\n
7)\r\n\r\n\"three<\/td>\r\n8)\r\n\r\n\"three<\/td>\r\n\r\n

9)\u00a0\"three<\/p>\r\n<\/td>\r\n

\u00a010)\r\n\r\n\"4<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nJames Bidwell has suggested that Mayan addition was done by \u201csimply combining bars and dots and carrying to the next higher place.\u201d He goes on to say, \u201cAfter the combining of dots and bars, the second step is to exchange every five dots for one bar in the same position.\u201d After converting the following base 10 numbers into vertical Maya notation (in base 20, of course), perform the indicated addition:\r\n\r\n1)\u00a0\u00a0\u00a0\u00a0\u00a0 32 + 11\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2) 82 + 15\r\n\r\n \r\n\r\n3)\u00a0\u00a0\u00a0\u00a0\u00a0 35 + 148 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a04) 2412 + 5000\r\n\r\n \r\n\r\n5)\u00a0\u00a0\u00a0\u00a0\u00a0 450 + 844 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 6) 10,000 + 20,000\r\n\r\n \r\n\r\n7)\u00a0\u00a0\u00a0\u00a0\u00a0 4,500 + 3,500 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a08) 130,000 + 30,000\r\n\r\n \r\n\r\n9)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Use the fact that the Mayans had a base-20 number system to complete the following multiplication table. The table entries should be in Mayan notation.\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
 \r\n\r\nx<\/td>\r\n\u00a0\"one<\/a><\/td>\r\n\u00a0\"two<\/a><\/td>\r\n\u00a0\"three<\/a><\/td>\r\n\u00a0\"four<\/a><\/td>\r\n\u00a0\"one<\/a><\/td>\r\n\u00a0\"two<\/a><\/td>\r\n\u00a0\"three<\/a><\/td>\r\n<\/tr>\r\n
\"one<\/a><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
\"two<\/a><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
\"three<\/a><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
\"four<\/a><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
\"one<\/a><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
\"two<\/a><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
\"three<\/a><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n\u00a0<\/em>\r\n

Exploration<\/h3>\r\n1)\u00a0\u00a0\u00a0\u00a0\u00a0 What are the advantages and disadvantages of bases other than ten?\r\n\r\n2)\u00a0\u00a0\u00a0\u00a0\u00a0 Supposed you are charged with creating a base-15 number system. What symbols would you use for your system and why? Explain with at least two specific examples how you would convert between your base-15 system and the decimal system.\r\n\r\n3)\u00a0\u00a0\u00a0\u00a0\u00a0 Describe an interesting aspect of Mayan civilization that we did not discuss in class. Your findings must come from some source such as an encyclopedia article, or internet site and you must provide reference(s) of the materials you used (either the publishing information or Internet address).\r\n\r\n4) For a Papuan tribe in southeast New Guinea, it was necessary to translate the bible passage John 5:5 \u201cAnd a certain man was there, which had an infirmity 30 and 8 years\u201d into \u201cA man lay ill one man, both hands, five and three years.\u201d Based on your own understanding of bases systems (and some common sense), furnish an explanation of the translation. Please use complete sentences to do so. (Hint: To do this problem, I am asking you to think about how base systems work, where they come from, and how they are used. You won\u2019t necessarily find an \u201canswer\u201d in readings or such\u2026you\u2019ll have to think it through and come up with a reasonable response. Just make sure that you clearly explain why the passage was translated the way that it was.)\r\n\r\n5)\u00a0\u00a0\u00a0\u00a0\u00a0 The Mayan calendar was largely discussed leading up to December 2012. Research how the Mayan calendar works, and how the counts are related to the number based they use.","rendered":"

Counting Board And Quipu<\/strong><\/p>\n

1)\u00a0\u00a0\u00a0\u00a0\u00a0 In the following Peruvian counting board, determine how many of each item is represented. Please show all of your calculations along with some kind of explanation of how you got your answer. Note the key at the bottom of the drawing.<\/p>\n

\"\"<\/a><\/p>\n

2) \u00a0Draw a quipu with a main cord that has branches (H cords) that show each of the following numbers on them. (You should produce one drawing for this problem with the cord for part a<\/strong> on the left and moving to the right for parts b<\/strong> through d<\/strong>.)<\/p>\n

(a) 232<\/p>\n

(b) 5065<\/p>\n

(c) 23,451<\/p>\n

(d) 3002<\/p>\n

Basic Base Conversions<\/strong><\/p>\n

1)\u00a0\u00a0\u00a0\u00a0\u00a0 423 in base 5 to base 10\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2) 3044 in base 5 to base 10<\/p>\n

 <\/p>\n

3)\u00a0\u00a0\u00a0\u00a0\u00a0 387 in base 10 to base 5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4) 2546 in base 10 to base 5<\/p>\n

 <\/p>\n

Mayan Conversions<\/strong><\/p>\n

Convert the following numbers to Mayan notation. Show your calculations used to get your answers.<\/em><\/p>\n

 <\/p>\n

1)\u00a0\u00a0\u00a0\u00a0\u00a0 135\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2) 234<\/p>\n

 <\/p>\n

3)\u00a0\u00a0\u00a0\u00a0\u00a0 360\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4) 1,215<\/p>\n

 <\/p>\n

5)\u00a0\u00a0\u00a0\u00a0\u00a0 10,500\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 6) 1,100,000<\/p>\n

 <\/p>\n

Convert the following Mayan numbers to decimal (base<\/em>-10) numbers. Show all calculations.<\/em><\/p>\n\n\n\n
7)<\/p>\n

\"three<\/td>\n

8)<\/p>\n

\"three<\/td>\n

\n

9)\u00a0\"three<\/p>\n<\/td>\n

\u00a010)<\/p>\n

\"4<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

James Bidwell has suggested that Mayan addition was done by \u201csimply combining bars and dots and carrying to the next higher place.\u201d He goes on to say, \u201cAfter the combining of dots and bars, the second step is to exchange every five dots for one bar in the same position.\u201d After converting the following base 10 numbers into vertical Maya notation (in base 20, of course), perform the indicated addition:<\/p>\n

1)\u00a0\u00a0\u00a0\u00a0\u00a0 32 + 11\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2) 82 + 15<\/p>\n

 <\/p>\n

3)\u00a0\u00a0\u00a0\u00a0\u00a0 35 + 148 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a04) 2412 + 5000<\/p>\n

 <\/p>\n

5)\u00a0\u00a0\u00a0\u00a0\u00a0 450 + 844 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 6) 10,000 + 20,000<\/p>\n

 <\/p>\n

7)\u00a0\u00a0\u00a0\u00a0\u00a0 4,500 + 3,500 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a08) 130,000 + 30,000<\/p>\n

 <\/p>\n

9)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Use the fact that the Mayans had a base-20 number system to complete the following multiplication table. The table entries should be in Mayan notation.<\/p>\n

\n\n\n\n\n\n\n\n\n\n\n
 <\/p>\n

x<\/td>\n

\u00a0\"one<\/a><\/td>\n\u00a0\"two<\/a><\/td>\n\u00a0\"three<\/a><\/td>\n\u00a0\"four<\/a><\/td>\n\u00a0\"one<\/a><\/td>\n\u00a0\"two<\/a><\/td>\n\u00a0\"three<\/a><\/td>\n<\/tr>\n
\"one<\/a><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
\"two<\/a><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
\"three<\/a><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
\"four<\/a><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
\"one<\/a><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
\"two<\/a><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
\"three<\/a><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

\u00a0<\/em><\/p>\n

Exploration<\/h3>\n

1)\u00a0\u00a0\u00a0\u00a0\u00a0 What are the advantages and disadvantages of bases other than ten?<\/p>\n

2)\u00a0\u00a0\u00a0\u00a0\u00a0 Supposed you are charged with creating a base-15 number system. What symbols would you use for your system and why? Explain with at least two specific examples how you would convert between your base-15 system and the decimal system.<\/p>\n

3)\u00a0\u00a0\u00a0\u00a0\u00a0 Describe an interesting aspect of Mayan civilization that we did not discuss in class. Your findings must come from some source such as an encyclopedia article, or internet site and you must provide reference(s) of the materials you used (either the publishing information or Internet address).<\/p>\n

4) For a Papuan tribe in southeast New Guinea, it was necessary to translate the bible passage John 5:5 \u201cAnd a certain man was there, which had an infirmity 30 and 8 years\u201d into \u201cA man lay ill one man, both hands, five and three years.\u201d Based on your own understanding of bases systems (and some common sense), furnish an explanation of the translation. Please use complete sentences to do so. (Hint: To do this problem, I am asking you to think about how base systems work, where they come from, and how they are used. You won\u2019t necessarily find an \u201canswer\u201d in readings or such\u2026you\u2019ll have to think it through and come up with a reasonable response. Just make sure that you clearly explain why the passage was translated the way that it was.)<\/p>\n

5)\u00a0\u00a0\u00a0\u00a0\u00a0 The Mayan calendar was largely discussed leading up to December 2012. Research how the Mayan calendar works, and how the counts are related to the number based they use.<\/p>\n","protected":false},"author":167848,"menu_order":14,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-16010","chapter","type-chapter","status-publish","hentry"],"part":15994,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/chapters\/16010","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/wp\/v2\/users\/167848"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/chapters\/16010\/revisions"}],"predecessor-version":[{"id":16128,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/chapters\/16010\/revisions\/16128"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/parts\/15994"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/chapters\/16010\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/wp\/v2\/media?parent=16010"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/chapter-type?post=16010"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/wp\/v2\/contributor?post=16010"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/wp\/v2\/license?post=16010"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}