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Comparing and Ordering Rational Numbers

Comparing and Ordering Rational Numbers
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2025-06-04 17:40
In collections Ordnen und Vergleichen von rationalen Zahlen
This GeoGebra example demonstrates how to compare and order rational numbers. Students can answer questions by selecting the correct option, such as which number is less than -4. The example also includes an open-ended question that asks students to order two rational numbers from smallest to largest. This example is suitable for 7-8 grade students, helping them understand the concept of comparing

GeoGebra Commands & Parameters

  1. SelectedIndex(DropDown21) → input21
  2. SelectedIndex(DropDown12) → input12
  3. SelectedIndex(DropDown2) → input2
  4. SelectedIndex(DropDown1) → input1
  5. SelectedIndex(DropDown6) → input6
  6. SelectedIndex(DropDown7) → input7
  7. SelectedIndex(DropDown8) → input8
  8. SelectedIndex(DropDown9) → input9
  9. SelectedIndex(DropDown16) → input16
  10. SelectedIndex(DropDown17) → input17
  11. SelectedIndex(DropDown18) → input18
  12. Point(Line[Start, xAxis]) → Ende
  13. Join(Zip[Translate[Sequence[Start + (m * (Distance[Start, Ende] / (nummax - nummin), 0)), m, 0, nummax - nummin, 0.1], Vector[(n * (0, 0.45))]], n, Sequence[0, 3]]) → listOptionsK
  14. Point(listOptionsK) → K15
  15. IndexOf(K15, listOptionsK) → input15
  16. Point(listOptionsK) → K14
  17. IndexOf(K14, listOptionsK) → input14
  18. Point(listOptionsK) → K11
  19. IndexOf(K11, listOptionsK) → input11
  20. Point(listOptionsK) → K10
  21. IndexOf(K10, listOptionsK) → input10
  22. Point(Line[Chris2a, yAxis]) → Chris3a
  23. Point(Line[Chris2a, yAxis]) → Chris7a
  24. SelectedIndex(DropDown22) → input22
  25. Element({0, 0, 0, 1, 2, 4, 3, 0, 0}, step) → exnum
  26. Textfield(input3) → Eingabefeld3
  27. Textfield(input4) → Eingabefeld4
  28. Join({Sequence[Segment[Corner[4] + (RasterPixMat * ((k * RasterStepXY), 0)), Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY))], k, RasterMaxX / RasterStepXY, RasterMaxX / RasterStepXY], Sequence[Segment[Corner[4] + (RasterPixMat * (0, (k * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], k, RasterMaxY / RasterStepXY, RasterMaxY / RasterStepXY]}) → RasterAussen
  29. Segment(Dilate[Start, 1.05, Midpoint[Start, Ende]], Dilate[Ende, 1.05, Midpoint[Start, Ende]]) → line
  30. Sequence(Start + (m * (Distance[Start, Ende] / (nummax - nummin), 0)), m, 0, nummax - nummin, 0.5) → listPointsBig
  31. Zip(Segment[P + (0, (-linesize)), P + (0, linesize)], P, listPointsBig) → listLines
  32. Sequence(Start + (m * (Distance[Start, Ende] / (nummax - nummin), 0)), m, 0.5, nummax - nummin) → listPointsText
  33. Join({Zip[Text[(("\textsf{" * m) * " }"), P + (0.08, -0.9), true, true, 0], m, Sequence[0, nummax], P, Sequence[listPointsText(n), n, nummitte / 2 + 1, nummitte + nummax]], Zip[Text[((("\textsf{" * "--") * abs(m)) * " }"), P + (0, -0.9), true, true, 0], m, Sequence[nummin, -1], P, listPointsText]}) → listText
  34. Midpoint(Start, Ende) → Mitte
  35. Zip(Mitte + (m * (Distance[Start, Ende] / (nummax - nummin), 0)), m, {num1, num2, num3, num4}) → listPoints2
  36. Translate(Segment[(0, 0), (arrowlength, 0)], Start + (0.7, arrowheight)) → arrowlinks
  37. Translate(Segment[(0, 0), (arrowlength, 0)], Ende + (-2.9, arrowheight)) → arrowrechts
  38. Join({Zip[Text[(("\textsf\small\bold\textcolor{db6114}{" * m) * " }"), P + (0, -0.9), true, true, 0], m, {"--0,75", "~2,2"}, P, {listPoints2(2), listPoints2(4)}], Zip[Text[(("\textsf\small\bold\textcolor{db6114}{" * m) * " }"), P + (0, 0.2), true, true, 0], m, {"--1\frac{1}{3}", "~~\frac{4}{5}"}, P, {listPoints2(1), listPoints2(3)}]}) → listText2
  39. Textfield(input5) → Eingabefeld5
  40. Element({Chris1a, Chris2a, Chris2a, Chris3a, Chris2a, Chris2a, Chris2a, Chris2a, Chris7a}, step + 1) → Chrisa
  41. Point(Line[Chrisa, xAxis]) → Chrisb
  42. Zip(Segment[P + (0, (-linesizesmall)), P + (0, linesizesmall)], P, listPointsSmall) → listLinesSmall
  43. Zip(Mitte + (m * (Distance[Start, Ende] / (nummax - nummin), 0)), m, {num5, num6}) → listPoints4
  44. Point(Line[SB3, yAxis]) → SB4
  45. Point(Line[SB3, yAxis]) → SB5
  46. Textfield(input13) → Eingabefeld13
  47. LaTeX(step, true, true) → Text2
  48. Zip(Text[(("\textsf\small\textcolor{616161}{" * m) * " }"), P + (0, arrowheight - 0.32), true, true, 0], m, {"links", "rechts"}, P, {Start, Ende}) → listLinksRechts
  49. Sequence(Start + (m * (Distance[Start, Ende] / (nummax - nummin), 0)), m, 0, nummax - nummin, 0.1) → listPoints
  50. Point(listPoints) → P1
  51. Point(listPoints) → P2
  52. Text(If[checkP1dezi, TextP1Dezimal, TextP1Bruch], P1 + (0.05, 0.8), false, true, 0, 0) → TextP1X
  53. Text(If[checkP2dezi, TextP2Dezimal, TextP2Bruch], P2 + (0.05, 0.8), false, true, 0, 0) → TextP2X
  54. If(checkP1dezi, TextP1Dezimal, TextP1Bruch) → TextP1
  55. If(checkP2dezi, TextP2Dezimal, TextP2Bruch) → TextP2
  56. Join({Zip[Text[(("\textsf\small\bold\textcolor{db6114}{" * m) * " }"), P + (0, -0.9), true, true, 0], m, {"2,2"}, P, {listPoints4(2)}], Zip[Text[(("\textsf\small\bold\textcolor{db6114}{" * m) * " }"), P + (0, 0.2), true, true, 0], m, {"--\frac{3}{4}"}, P, {listPoints4(1)}]}) → listText4
  57. Translate(Segment[(0, 0), ((0.7 * arrowlength), 0)], Start + (-0.1, arrowheight)) → arrowlinksklein
  58. Translate(Segment[(0, 0), ((0.7 * arrowlength), 0)], Ende + (-1.3, arrowheight)) → arrowrechtsklein
  59. Point(listOptionsK) → K19
  60. Point(listOptionsK) → K20
  61. IndexOf(K19, listOptionsK) → input19
  62. IndexOf(K20, listOptionsK) → input20
  63. IndexOf(K10, listOptionsK) → a