CHAPTER Section 4.1 Communicating in Business Section 4.2 Negotiating Business Communication.
Section 4.2
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Section 4.2 Place Value System
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Section 4.2. Place Value System. 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:. - PowerPoint PPT Presentation
Transcript of Section 4.2
Section 4.2Place Value System
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 1:Convert to Hindu-Arabic
Example 2:Convert to Hindu-Arabic
Example 3:Convert to Hindu-Arabic
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)
Example 7: 5,389Write the number using expanded
notation.
Example 8: 31,157Write the number using expanded
notation.
Example 9: 2,100,405Write the number using expanded
notation.
Section 4.2 ContinuedAddition and Subtraction using the Hindu-Arabic Expanded Notation
Example 10: 4,625 + 814Add/Subtract using Expanded
Notation
Example 11: 5,264 + 583Add/Subtract using Expanded
Notation
Example 12: 728 – 243 Add/Subtract using Expanded
Notation
Example 13: 4,317 – 2,561 Add/Subtract using Expanded
Notation
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!
Galley Method: 685 x 49Begin by constructing a rectangle.
Galley Method: 685 x 49Divide into triangles called a galley.
Galley Method: 685 x 49Compute partial products in each
box
Galley Method: 685 x 49Add numbers along the diagonals.
Example 14: 7 x 364Multiply using the Galley Method.
Example 15: 22 x 867Multiply using the Galley Method.
Example 16: 239 x 456Multiply using the Galley Method.
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.
Example 17: 8 x 346Using Napier’s Rods
Example 18: 21 x 768Using Napier’s Rods
Example 19: 241 x 365Using Napier’s Rods
Section 4.2 Assignment IIIClass work:
TB pg. 216/41 – 52 All Remember you must write the problem
and show ALL work to receive credit for this assignment. NO work, NO grade!
