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Directed Number Subtraction Demo

Directed Number Subtraction Demo
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2020-02-28 18:49
FunctionCoordinate GeometryComplex NumberGeometric ConstructionSlider Animation
This example demonstrates the calculation and geometric interpretation of subtraction of directed numbers. It involves core concepts like directed numbers, number line operations, absolute value, and geometric representation. Construction uses commands such as Point, Sequence, If, Corner with objects like num0, A, B, dis, button1. Suitable for middle school and above mathematics education to understand directed number operations and visualization.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Sequence(Semicircle[(((k - 1 + x(A)) * dis), 0.1), (((k + x(A)) * dis), 0.1)], k, 1, Div[x(B) - x(A), dis]) → l1
  3. Sequence(Semicircle[(((x(A) - k) * dis), 0.1), (((x(A) + 1 - k) * dis), 0.1)], k, 1, Div[x(A) - x(B), dis]) → l3
  4. If(x(B) - x(A) > 0, "+", "") → sign2
  5. If(x(B) - x(A) < 0, "+", "") → sign3
  6. If(x(A) > 0, "+", "") → signa
  7. If(x(B) - x(A) > 0, "+", "") → signba
  8. If(x(B) > x(A), "+", "-") → op2
  9. If(x(B) > 0, "+", "") → signb
  10. Sequence(Vector[(((k + x(A) - 0.05) * dis), 0.3), (((k + x(A)) * dis), 0.1)], k, 1, Div[x(B) - x(A), dis]) → l2
  11. Sequence(Vector[(((x(A) - k + 0.05) * dis), 0.3), (((x(A) - k) * dis), 0.1)], k, 1, Div[x(A) - x(B), dis]) → l4
  12. Corner(1) → C
  13. If(num0 > 0, "+", "") → sign0
  14. If(num1 > 0, "+", "") → sign1