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January 22, 2009. “Whether you think you can or can’t, you’re right.” -Henry Ford. January 22, 2009. Sec 2.3: Numeration (know: Roman, Babylonian & Mayan be able to use Egyptian) Exploration 2.8. 2.3 (cont’d) Roman system. 2.3 (cont’d) Egyptian system.
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January 22, 2009 “Whether you think you can or can’t, you’re right.” -Henry Ford
January 22, 2009 • Sec 2.3: Numeration (know: Roman, Babylonian & Mayan be able to use Egyptian) • Exploration 2.8
2.3 (cont’d) Babylonian system • Positional system • The number 60 • Symbol for zero: • (developed later) • Reason we have 60 • minutes in an hour!
2.3 (cont’d) Mayan system • The number 20 • Used the concept of zero, but only for place holders • Used three symbols: • 1 5 0 • Wrote their numbers vertically: is 5 + 5 = 10, is 4 + 5 + 5 = 14
2.3 (Mayan system cont’d) Mayans left a vertical gap to represent place value: • is one 20, and 0 ones = 20. •• • is two 20’s + 6 = 46
2.3 (cont’d) Write the following numbers in Roman, Egyptian, Babylonian and Mayan numbers: 8 49 111
2.3 (cont’d) Answers:
2.3 (cont’d) What similarities/differences do you see in these systems? Advantages/disadvantages of each system?
Exploration 2.8 (Alphabitia) • Read the introduction and Part 1 • Use the “artifacts” and work on Part 1 as a group. • Work on Part 2 #1 as a group, once you are all comfortable with your system. The poster is part of your homework for Tuesday. • (exchange contact information with your group)
Homework • Read textbook section 1.7 & pgs 101 – 108 • Do the textbook problems listed online • Finish the Alphabitia table you started in class; as a group, create a poster as outlined in the Explorations book. • We will continue Exploration 2.8 on Tuesday.