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Division of a Decimal by a Power of 10

Division of a Decimal by a Power of 10
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2016-06-20 10:14
FunctionCoordinate GeometryGeometric Construction
In collections Decimals
This example demonstrates the process of dividing a decimal by a power of 10. Key math concepts include decimal operations, exponentiation, and the decimal place value system. It is constructed using GeoGebra commands like Polygon, Line, and Intersect. Suitable for middle school mathematics education, helping students understand the relationship between decimal division, exponentiation, and the rules of decimal place value changes.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1
  2. Polygon(D, E, F, C) → poly2, d_2, e, f, c_2
  3. Polygon(E, G, I, F) → poly3, e_1, g, i, f_1
  4. Polygon(G, J, K, I) → poly4, g_1, j, k, i_1
  5. Polygon(J, L, M, K) → poly5, j_1, l, m, k_1
  6. Polygon(L, N, O, M) → poly6, l_1, n, o, m_1
  7. Polygon(N, P, Q, O) → poly7, n_1, p, q, o_1
  8. Polygon(P, R, S, Q) → poly8, p_1, r, s, q_1
  9. Polygon(R, V, W, S) → poly9, r_1, v, w, s_1
  10. Line(A, B) → h
  11. Line(C, D) → t
  12. Line(F, E) → h_1
  13. Line(I, G) → t_1
  14. Line(K, J) → f_2
  15. Line(M, L) → g_2
  16. Line(O, N) → h_2
  17. Line(Q, P) → i_2
  18. Line(S, R) → j_2
  19. Line(W, V) → k_2
  20. Intersect(h, l_2) → Z
  21. Intersect(t, l_2) → A_1
  22. Intersect(t, m_2) → B_1
  23. Intersect(h, m_2) → C_1
  24. Polygon(Z, A_1, B_1, C_1) → poly10, z_1, a_2, b_2, c_3
  25. Intersect(h_1, l_2) → D_1
  26. Intersect(h_1, m_2) → E_1
  27. Polygon(A_1, D_1, E_1, B_1) → poly11, a_3, d_3, e_2, b_3
  28. Intersect(t_1, l_2) → F_1
  29. Intersect(t_1, m_2) → G_1
  30. Polygon(D_1, F_1, G_1, E_1) → poly12, d_4, f_3, g_3, e_3
  31. Intersect(f_2, l_2) → H_1
  32. Intersect(f_2, m_2) → I_1
  33. Polygon(F_1, H_1, I_1, G_1) → poly13, f_4, h_3, i_3, g_4
  34. Intersect(g_2, l_2) → J_1
  35. Intersect(g_2, m_2) → K_1
  36. Polygon(H_1, J_1, K_1, I_1) → poly14, h_4, j_3, k_3, i_4
  37. Intersect(h_2, l_2) → L_1
  38. Intersect(h_2, m_2) → M_1
  39. Polygon(J_1, L_1, M_1, K_1) → poly15, j_4, l_3, m_3, k_4
  40. Intersect(i_2, l_2) → N_1
  41. Intersect(i_2, m_2) → O_1
  42. Polygon(L_1, N_1, O_1, M_1) → poly16, l_4, n_2, o_2, m_4
  43. Intersect(j_2, l_2) → P_1
  44. Intersect(j_2, m_2) → Q_1
  45. Polygon(N_1, P_1, Q_1, O_1) → poly17, n_3, p_2, q_2, o_3
  46. Intersect(k_2, l_2) → R_1
  47. Intersect(k_2, m_2) → S_1
  48. Polygon(P_1, R_1, S_1, Q_1) → poly18, p_3, r_2, s_2, q_3

AI Drawing Prompt Reference

Draw a complex geometric structure composed of multiple quadrilaterals, connected by lines. Start by drawing four large quadrilaterals, then draw smaller quadrilaterals inside each, connecting them through intersection points to form a multi-layered geometric shape.
The prompt above was compiled from the original drawing commands and is for reference only.