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Principles Of Numeration A


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Principles Of Numeration A

  2. 2. The five principles <ul><li>The Hindu-Arabic system we use is based on five principles: </li></ul><ul><ul><li>Base </li></ul></ul><ul><ul><li>Position </li></ul></ul><ul><ul><li>Multiplication </li></ul></ul><ul><ul><li>Additive </li></ul></ul><ul><ul><li>Odometer </li></ul></ul>
  3. 3. Base 10 <ul><li>The numeration system is a base 10 system and uses only 10 digits: </li></ul><ul><li>0,1,2,3,4,5,6,7,8 and 9 </li></ul>
  4. 4. Position <ul><li>The position of a digit indicates its value and every place in the system is related to others by powers of 10. </li></ul>
  5. 5. Multiplicative <ul><li>The value of each digit is multiplied by the value of its place e.g. in 26 the value of the 2 is 2 x 10 and the value of the 6 is 6 x 1. </li></ul>
  6. 6. Additive <ul><li>Digits in a number are added to give its value e.g. to give the total amount of 26, 20 + 6 are added together. </li></ul>
  7. 7. Odometer <ul><li>The Hindu-Arabic system is a system that every place counts. You can compare this to an odometer. On each count of 1 – 9 , the wheel turns and when the 10 th turn is made, the next number in the reel turns. </li></ul>