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Base One

Base One. L. Van Warren. Start at the beginning…. What is a placeholder?. 1. 2. 2. 8. • 100 + • 10 + • 1 . 1. 2. 8. • 10 2 + • 10 1 + • 10 0. 1. 2. 8. • 100 + • 10 + • 1 . 1. 2. 8. + • 10 + • 1. 100. 2. 8.

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Base One

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  1. Base One L. Van Warren

  2. Start at the beginning…

  3. What is a placeholder?

  4. 1 2 2 8

  5. • 100 + • 10 + • 1 1 2 8

  6. • 102 + • 101 + • 100 1 2 8

  7. • 100 + • 10 + • 1 1 2 8

  8. + • 10 + • 1 100 2 8

  9. + + • 1 100 20 8

  10. + + 100 20 8

  11. 100 20 8

  12. 1 2 8

  13. Consider PlaceholdersAs Dimensions…

  14. How many placeholders? 1 2 2 8 Three

  15. 128 Three

  16. 128

  17. 128

  18. 128

  19. 128 tens ones hundreds

  20. 128 tens ones hundreds

  21. How many dimensionsin a cube?

  22. How many dimensionsin a square?

  23. How many dimensionsin a line segment?

  24. How many dimensionsin a point?

  25. How many dimensionsin a point? 0

  26. How many symbols in base one?

  27. How many symbols in base one?

  28. How do we count in base one?

  29. Base 1 – Counting | || |||| ||||

  30. How do we add inbase one?

  31. + = ?

  32. + = ?

  33. + = ?

  34. + =

  35. + =

  36. Additionis equivalent toGrouping

  37. Groupingis a powerfulidea.

  38. Additionis “closed”in base one.

  39. Meaning we canrepresent any sumin the same counting system.(given sufficient time)

  40. How do we subtractIn base one?

  41. - = ?

  42. - = ?

  43. - = ?

  44. - = ?

  45. - = ?

  46. - = ?

  47. - = ?

  48. - = ?

  49. - = ?

  50. - = ?

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