Section 4.2 Place Value System. Objectives: Understand and use the Babylonian System. Understand...
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Transcript of Section 4.2 Place Value System. Objectives: Understand and use the Babylonian System. Understand...
Objectives:Understand and use the Babylonian
System.Understand and use the Hindu-
Arabic Expanded Notation with addition and subtraction.
Use the Galley Method for multiplication.
Use Napier’s Rods for multiplication.
Key Terms:Place Value System – the
placement of the symbols in a numeral determines the value of the symbols, also called a positional system.
NOTE: In order to have a true place value system, you must have a symbol for zero.
Babylonian Number SystemThe Babylonians developed an early
example of a place value system.
This system was based on powers of 60, called a sexagesimal system.
There are only 2 symbols in the Babylonian system: Represents 1 - Represents 10 -
For Example: The number 23 can be written as:
,however, for larger numbers, they used several symbols separated by spaces, and multiplied the value of these groups, of symbols, by increasing powers of 60.
Example 4: 7,717Convert to Babylonian
In order to convert, we need to divide by 60, similar to converting seconds to hours and minutes.
Example 5: 7,573Convert to Babylonian
In order to convert, we need to divide by 60, similar to converting seconds to hours and minutes.
Example 6: 128,485Convert to Babylonian
In order to convert, we need to divide by 60, similar to converting seconds to hours and minutes.
Section 4.2 Assignment IClass work:
TB pg. 216/1 – 16 All Remember you must write the problem
and show ALL work to receive credit for this assignment. NO work, NO grade!
Hindu-Arabic Numeration System Place Value
Based on Powers of 10.
Writing numbers in expanded notation.
6,582 = (6x103)+(5x102)+(8x101)+(2x100)
Section 4.2 Assignment IIClass work:
TB pg. 216/33 – 40 All Remember you must write the problem
and show ALL work to receive credit for this assignment. NO work, NO grade!
Napier’s Rods/BonesDeveloped by
John Napier in the 16th Century, for doing multiplication. TB pg. 215
The Napier's rods consist of strips of wood, metal or heavy cardboard and are three dimensional.