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Multiplication of Natural and Mixed Numbers

Multiplication of Natural and Mixed Numbers
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2023-07-25 16:49
TrigonometryCoordinate GeometryGeometric Construction
In collections Natürliche Zahl mit Bruchzahl multiplizieren
This example demonstrates the multiplication of natural and mixed numbers. Key mathematical concepts include fraction multiplication and conversion of mixed numbers. Using GeoGebra commands such as SelectedIndex, Textfield, and Corner, the multiplication process is dynamically displayed. Suitable for high-grade elementary or junior high school students learning fraction operations.

GeoGebra Commands & Parameters

  1. SelectedIndex(DropDown) → input0
  2. Textfield(input1) → Eingabefeld1
  3. Textfield(input2) → Eingabefeld2
  4. Textfield(input3) → Eingabefeld3
  5. Corner(TextChrisRechnung, 4) → P1
  6. Textfield(input4) → Eingabefeld4
  7. Textfield(input5) → Eingabefeld5
  8. Textfield(input6) → Eingabefeld6
  9. Textfield(input7) → Eingabefeld7
  10. Textfield(input8) → Eingabefeld8
  11. Textfield(input9) → Eingabefeld9
  12. Textfield(input10) → Eingabefeld10
  13. Textfield(input11) → Eingabefeld11
  14. If(step ≟ 0, E1, If[step ≟ 12 ∨ step ≟ 7, E3, E2]) → E
  15. Textfield(input12) → Eingabefeld12
  16. Textfield(input14) → Eingabefeld14
  17. Textfield(input15) → Eingabefeld15
  18. Textfield(input16) → Eingabefeld16
  19. Textfield(input13) → Eingabefeld13
  20. Textfield(input17) → Eingabefeld17
  21. Textfield(input18) → Eingabefeld18
  22. Corner(TextEvaRechnung, 4) → P3
  23. Translate(Polygon[(0, 0), (fbx, 0), (fbx, fby), (0, fby)], PFB1) → v1
  24. Translate(Polygon[(0, 0), (fbx1, 0), (fbx1, fby1), (0, fby1)], PFB2) → v2
  25. Translate(Polygon[(0, 0), (fbx, 0), (fbx, fby), (0, fby)], PFB3) → v3
  26. Translate(Polygon[(0, 0), (fbx, 0), (fbx, fby), (0, fby)], PFB4) → v4
  27. Translate(Polygon[(0, 0), (fbx, 0), (fbx, fby), (0, fby)], PFB5) → v5
  28. Translate(Polygon[(0, 0), (fbx, 0), (fbx, fby), (0, fby)], PFB6) → v6
  29. Point(Line[B, xAxis]) → D
  30. SpeechBubbleLeft(F1, 8, 0.7) → Vieleck1
  31. SpeechBubbleLeft(F2, 7.2, 2.1) → Vieleck2
  32. SpeechBubbleLeft(F3, 8.25, 1) → Vieleck3
  33. SpeechBubbleLeft(F4, 7, 0.7) → Vieleck4
  34. SpeechBubbleLeft(F25, 7.3, 1) → Vieleck5
  35. SpeechBubbleLeft(F5, 8.5, 3.1) → Vieleck6
  36. SpeechBubbleLeft(F6, 7.6, 0.7) → Vieleck7
  37. SpeechBubbleLeft(F7, 2.4, 1) → Vieleck8
  38. SpeechBubbleRight(G7, 7.6, 0.7) → Vieleck9
  39. SpeechBubbleRight(G9, 10.55, 0.97) → Vieleck10
  40. SpeechBubbleRight(G10, 7.7, 0.75) → Vieleck11
  41. SpeechBubbleRight(G11, 12, 0.75) → Vieleck12
  42. SpeechBubbleLeft(F12, 9.75, 1.8) → Vieleck13
  43. SpeechBubbleRight(G12, 7.85, 1.65) → Vieleck14
  44. Textfield(input19) → Eingabefeld19
  45. Textfield(input20) → Eingabefeld20
  46. Textfield(input21) → Eingabefeld21
  47. Translate(Polygon[(0, 0), (fbx, 0), (fbx, fby), (0, fby)], PFB7) → v9

AI Drawing Prompt Reference

Demonstrate the multiplication of natural and mixed numbers, including fraction multiplication and mixed number conversion. Use a dropdown menu for input selection and dynamically display calculation steps with text fields for key information. Represent the multiplication process using geometric shapes and arrows. Start by drawing geometric representations of mixed numbers and natural numbers, then show the product through translation and transformation, finally annotate the calculation results and steps with speech bubbles.
The prompt above was compiled from the original drawing commands and is for reference only.