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Long Division Demonstration

Long Division Demonstration
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2017-04-04 16:28
FunctionGeometric Construction
This example demonstrates the process of long division. It involves the core concept of division and constructs an interactive long division model using GeoGebra commands such as Random, Div, Mod, etc. Users can input the dividend and divisor to observe each step of the long division. Suitable for high-grade elementary and junior high school students to learn division operations.

GeoGebra Commands & Parameters

  1. Random(0, 9) → QuotientUnits
  2. Random(0, 9) → DivisorUnits
  3. Random(1, 4) → DivisorTens
  4. Random(1, 9) → QuotientTens
  5. Random(1, 2) → QuotientHundreds
  6. Div(Dividend, 1000) → DividendThousands
  7. Div(Mod[Dividend, 1000], 100) → DividendHundreds
  8. Div(Mod[Dividend, 100], 10) → DividendTens
  9. Mod(Dividend, 10) → DividendUnits
  10. Segment(A, B) → a
  11. Segment(B, C) → b
  12. Textfield(answer) → Question
  13. Div((QuotientHundreds * Divisor), 10) → Product1Tens
  14. Mod((QuotientHundreds * Divisor), 10) → Product1Units
  15. Segment(D, E) → c
  16. Div(RemainderTens, 10) → Difference1Tens
  17. Mod(RemainderTens, 10) → Difference1Units
  18. Vector(F, G) → u
  19. Div((QuotientTens * Divisor), 100) → Product2Hundreds
  20. Div(Mod[(QuotientTens * Divisor), 100], 10) → Product2Tens
  21. Mod((QuotientTens * Divisor), 10) → Product2Units
  22. Segment(H, I) → d
  23. Div(RemainderUnits, 10) → Difference2Tens
  24. Mod(RemainderUnits, 10) → Difference2Units
  25. Vector(J, K) → v
  26. Segment(L, M) → e

AI Drawing Prompt Reference

Draw a long division diagram, including the dividend, divisor, quotient, and remainder. First, randomly generate a four-digit dividend and a one-digit divisor. Then, perform each step of the long division calculation, including the quotient's hundreds, tens, and units, as well as the remainder after each calculation. Finally, use segments to represent each step of the calculation process and text fields to display the results of each step.
The prompt above was compiled from the original drawing commands and is for reference only.