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Integer Distributivity (Division)

Integer Distributivity (Division)
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2019-02-25 19:37
FunctionSequenceCoordinate Geometry
This example demonstrates the distributivity of integers with division. Key mathematical concepts include integer division and the distributive law. Using GeoGebra commands such as Sequence, Union, RandomElement, Segment, and Point, a series of division examples are constructed. Suitable for middle school and above students to learn about the properties and applications of division.

GeoGebra Commands & Parameters

  1. Sequence((-k), k, 1, 20) → l1
  2. Sequence(k, k, 1, 20) → l2
  3. Union(l1, l2) → l3
  4. RandomElement(l3) → c
  5. Sequence(Product[{c, k}], k, -10, 10) → l4
  6. RandomElement(l4) → a
  7. RandomElement(l4) → b
  8. Segment(C, H) → f
  9. Segment(H, J) → g
  10. Segment(J, A) → h
  11. Segment(C, A) → i
  12. Segment(B, I) → j
  13. Point(f) → O
  14. Point(h) → P
  15. Segment(O, P) → k

AI Drawing Prompt Reference

Draw examples of integer division with sequences of 20 positive and negative numbers, randomly select a number c, calculate the product sequence of c with numbers from -10 to 10, randomly choose two numbers a and b, draw line segments f, g, h, i, j with a and b as endpoints, and connect points O and P.
The prompt above was compiled from the original drawing commands and is for reference only.