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January 22, 2009
“Whether you think you can or can’t, you’re right.”
-Henry Ford
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January 22, 2009
• Sec 2.3: Numeration
(know: Roman, Babylonian & Mayan
be able to use Egyptian)
• Exploration 2.8
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2.3 (cont’d) Roman system
Value Symbol Value Symbol
1 I 100 C
5 V 500 D
10 X 1000 M
50 L
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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)
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2.3 (cont’d) Babylonian system
Value Symbol
1
10
•Positional system
•The number 60
•Symbol for zero:
(developed later)
•Reason we have 60
minutes in an hour!
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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
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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
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2.3 (cont’d)
Write the following numbers in Roman, Egyptian, Babylonian and Mayan numbers:
8 49 111
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2.3 (cont’d)Answers:
Hindu-Arabic
Roman Egyptian Babylonian Mayan
8: VIII ||||||||
49: IL∩∩∩∩||||||||
|
111: CXI ∩|
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2.3 (cont’d)What similarities/differences do you see in
these systems?
Advantages/disadvantages of each system?
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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)
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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.
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