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Decimal and Fraction Conversion with GeoGebra

Decimal and Fraction Conversion with GeoGebra
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2023-05-09 19:41
In collections Wiederholung II: Erweitern & Kürzen, Darstellungsarten Bruchzahlen in endliche Dezimalzahlen umrechnen
This example demonstrates the conversion between decimals and fractions using GeoGebra. Key mathematical concepts include the relationship between fractions and decimals, the application of decimal place value tables, and error analysis. Construction involves using commands like Shuffle, Element, and SpeechBubbleLeft to create interactive problems, along with visualizing decimal place value tables

GeoGebra Commands & Parameters

  1. Shuffle(Sequence[Random[10, 999], i, 1, 100]) → randomZaehler, {478, 706, 743, 347, 484, 537, 589, 315, 994, 267, 716, 751, 428, 951, 36, 471, 197, 305, 26, 618, 609, 459, 896, 867, 396, 593, 518, 347, 229, 907, 922, 562, 784, 142, 895, 828, 427, 907, 287, 953, 872, 735, 673, 283, 237, 108, 665, 956, 693, 615, 908, 258, 579, 811, 626, 246, 109, 20, 932, 780, 927, 843, 881, 343, 693, 298, 16, 209, 705, 815, 230, 100, 420, 150, 88, 102, 897, 886, 896, 804, 355, 89, 516, 27, 468, 506, 828, 316, 536, 994, 837, 328, 628, 54, 602, 761, 842, 689, 189, 473}
  2. Element(randomZaehler, Mod[questionCount, 100] + 1) → zaehlerZehn
  3. Shuffle(Sequence[Random[10, 99], i, 1, 100]) → randomZaehler2, {14, 70, 81, 57, 91, 37, 19, 56, 15, 42, 21, 70, 77, 19, 37, 93, 81, 38, 74, 87, 45, 14, 29, 50, 95, 55, 35, 67, 33, 89, 80, 54, 44, 30, 40, 50, 75, 10, 78, 86, 16, 11, 82, 14, 39, 41, 35, 50, 50, 54, 60, 31, 80, 22, 19, 62, 51, 35, 10, 90, 75, 60, 65, 41, 64, 26, 46, 32, 75, 89, 79, 47, 29, 26, 36, 30, 70, 14, 87, 54, 43, 73, 34, 30, 30, 37, 34, 49, 47, 94, 81, 44, 32, 94, 15, 22, 85, 67, 78, 19}
  4. Element(randomZaehler2, Mod[questionCount, 100] + 1) → zaehlerHundert
  5. SpeechBubbleLeft(Bubble, BubbleLength(move), BubbleHeight(move)) → bubbleTrixi
  6. If(Mod[questionCount, 2] ≟ 0, If[Mod[zaehlerZehn, 10] ≟ 0, zaehlerZehn + 4, zaehlerZehn], If[Mod[zaehlerHundert, 10] ≟ 0, zaehlerHundert + 4, zaehlerHundert]) → zaehler
  7. If(zaehler < 10, zaehler, If[zaehler < 100, floor(zaehler / 10), If[zaehler < 1000, floor(zaehler / 100)]]) → stelle1
  8. If(zaehler < 100, Mod[zaehler, 10], If[zaehler < 1000, Mod[floor(zaehler / 10), 10]]) → stelle2
  9. If(zaehler ≥ 100, Mod[floor(zaehler), 10]) → stelle3