Transcript 4.2: Place Value/Positional Numeration Systems

4.2: Place
Value/Positional
Numeration Systems
By the end of class you will be
able to explain properties of the
Hindu-Arabic numeration system
and convert numbers into
Babylonian and Mayan.
What do you know about our
numeration system?
► Base
10 (fingers)
► Hindu-Arabic (Hindus = 0, Arabs 1-9)
► Positional/Place Value
 Value of a numeral is determined by the
position of the number
Write in expanded notation:
► 537
► 1082
► 38.5
A person has 3 hours and 18
minutes before a flight. They
spend 1 hour and 27 eating
lunch. How much time is left
before the flight?
Babylonian Numeration System
► Base
60 (many factors)
► Each position is a power of 60
► Only two numerals
► Special Subtraction Symbol
► Uses:
 Time
 Navigation Systems (longitute/latitude)
Convert to Hindu-Arabic
► 1)
► 2)
► 3)
Convert to Babylonian
► 1)
55
► 2)
405
► 3)
3809
Mayan Numeration System
► Base
20 (fingers and toes)
► Written vertically (similar to Chinese)
► Positions:
 etc…
18 202
18 201
20
units
Write in Hindu-Arabic
1)
2)
3)
Write in Mayan
► 1)
62
► 2)
201
► 3)
1514
Summarizer
► Create
a 6 Foldable
► Labels: Egyptian, Roman, Chinese, Greek,
Babylonian, Mayan
► Write the number 732 in each of these
systems below the name
► Compare your answer with partner