Transcript 2.3 Numeration

Homework for Wednesday 9/5
• Alphabetia posters due. Be ready to
compare and discuss.
• Read Textbook section 2.3, pp 101-108
• Textbook exercises pp.119-120
2b,d,e,g, 3b, 12a,e
2.3 Numeration
• We take our numeration system for
granted but understanding it is key to
understanding everything else in
mathematics.
• What are some difficult concepts about
numeration?
2. Egyptian Numeration System
Earliest know written
numbers.
Used a combination of these
symbols.
What is the value of
Egyptian Numeration System
• What are some
advantages/disadvantages?
• What are some patterns that you see?
Egyption Numeration System
• This system is an additive system. The
value of a number is the sum of the
numerals:
is just
1000+1000+1000+ 100 +100 +10
+10+10+10+1+1+1+1
Roman Numeration System
• What do you remember about this
system?
3.Roman Numeration System
• Represent 419 using
the Roman numerals.
• What are some differences between this
system and the Egyptian system?
• What are some of the advantages and
disadvantages of each.
4. Babylonian Numeration System
•
•
•
•
1 is represented by:
10 is represented by.
Example: 23 is
Babylonians created a new place based
on 60!
• For example: 602+60+1 is written:
4. Babylonian Numeration System
• This system then takes into account:
additive and place.
• How would the Babylonians represent?
a) 42
b) 125
c) 3673
d) 3624
Babylonian Number System
• What is needed here that the Egyptian and
Roman systems did not have?
Old
A
B
C
D
E
F
G
H
I
G1
G2
G3
G4
G5
*