1. January 22, 2009 “Whether you think you can or can’t, you’re right.” -Henry Ford

2. January 22, 2009 Sec 2.3: Numeration (know: Roman, Babylonian & Mayan be able to use Egyptian) Exploration 2.8

3. 2.3 (cont’d) Roman system ValueSymbolValueSymbol 1I100C 5V500D 10X1000M 50L

4. 2.3 (cont’d) Egyptian system 1 =(staff)10,000 = (pointing finger) 10 = (heel bone) 100,000 = (fish or tadpole) 100 =(scroll)1,000,000= (astonished person) 1000 = (lotus flower)

5. 2.3 (cont’d) Babylonian system ValueSymbol 1  10  Positional system The number 60 Symbol for zero: (developed later) Reason we have 60 minutes in an hour!

6. 2.3 (cont’d) Mayan system The number 20 Used the concept of zero, but only for place holders Used three symbols: 150 Wrote their numbers vertically: is 5 + 5 = 10, is 4 + 5 + 5 = 14

7. 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

8. 2.3 (cont’d) Write the following numbers in Roman, Egyptian, Babylonian and Mayan numbers: 8 49111

9. 2.3 (cont’d) Answers: Hindu- Arabic RomanEgyptianBabylonianMayan 8:VIII||||||||   49:IL ∩∩∩∩ |||||||||     111:CXI ∩ |   

10. 2.3 (cont’d) What similarities/differences do you see in these systems? Advantages/disadvantages of each system?

11. 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)

12. 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.