幂运算与小数转换

幂运算与小数转换
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2015-11-03 04:43
本范例演示了将“十分之三的五次方”表达式转换为小数形式的过程,包括指数形式和展开形式。通过使用GeoGebra命令,可以清晰地展示数学概念。适合初中及以上学生学习幂运算和小数转换。

GeoGebra 命令及参数

  1. LaTeX(steps) → counter
  2. LaTeX("\text{Use the buttons below to return to the original problem or}\cr\text{randomly generate a similar practice problem.}") → RandomizationText
  3. Corner(1) → A
  4. Corner(3) → B
  5. LaTeX(fractext) → fracex
  6. LaTeX("\text{Write the expression in expanded form.}") → text5
  7. LaTeX((((((((((("\text{The exponent of }\textcolor{#000099}{" * power) * "}\text{ in the expression \textcolor{#000099}{(") * decimal) * ")^{") * power) * "}} indicates that the base, }\textcolor{#000099}{") * decimal) * "}\text{, is}\cr\text{multiplied by itself }\textcolor{#000099}{") * power) * "}\text{ times.}")) → text6
  8. LaTeX((("\text{Symbolically, }\textcolor{#000099}{" * decex) * "}.")) → text7
  9. LaTeX("\text{Write the verbal expression as a numeric expression in exponential form using fractions.}") → text8
  10. LaTeX("\text{Write the verbal expression as a numeric expression in exponential form using decimals.}") → text1
  11. LaTeX("\text{Write the expression in expanded form.}") → text12
  12. LaTeX((((((((((((((("\text{The exponent of }\textcolor{#000099}{" * power) * "}\text{ in the expression \textcolor{#000099}{\left(\frac{") * num) * "}{") * den) * "}\right)^{") * power) * "}} indicates that the base, }\textcolor{#000099}{\frac{") * num) * "}{") * den) * "}}\text{, is}\cr\text{multiplied by itself }\textcolor{#000099}{") * power) * "}\text{ times.}")) → text13
  13. LaTeX((((("\text{The verbal expression, ``" * baseword) * "'' written as a decimal is }\textcolor{#000099}{") * decimal) * "}\text{. This}\cr\text{represents the base of the exponential expression. }")) → text2
  14. LaTeX((("\text{Symbolically, }\textcolor{#000099}{" * fracex) * "}\text{.}")) → text14
  15. LaTeX((((((((("\text{The expression ``" * baseword) * " to the ") * powword) * " power'' written in exponential form is }\textcolor{#000099}{(") * decimal) * ")^{") * power) * "}}.")) → text4
  16. LaTeX((((((((((("\text{The expression ``" * baseword) * " to the ") * powword) * " power'' written in exponential form is }\textcolor{#000099}{\left(\frac{") * num) * "}{") * den) * "}\right)^{") * power) * "}}.")) → text11
  17. LaTeX("\text{Move the slider to solve the problem.}") → text0
  18. LaTeX((((("\text{Verbal expression: " * baseword) * " to the ") * powword) * " power}")) → Problem
  19. LaTeX((((((("\text{The verbal expression ``" * baseword) * "'' written as a fraction is }\textcolor{#000099}{\frac{") * num) * "}{") * den) * "}}\text{. }\cr\text{This represents the base of the exponential expression.}")) → text9
  20. LaTeX((((("\text{The verbal expression ``" * powword) * " power'' is written as an exponent of }\textcolor{#000099}{") * power) * "}. ")) → text10
  21. LaTeX("\text{Evaluate the decimal and fraction versions of the expression.}") → text15
  22. LaTeX((((("\text{As a decimal, the numeric result of the expression }\cr\textcolor{#000099}{" * decex) * "}\text{ is }\textcolor{#000099}{") * dece) * "}.")) → text16
  23. LaTeX((((((("\text{As a fraction, the numeric result of the expression}\cr\textcolor{#000099}{" * fracex) * "}\text{is }\textcolor{#000099}{\frac{") * nump) * "}{") * denp) * "}}.")) → text17
  24. LaTeX((((("\text{The verbal expression, ``" * powword) * " power'' is written as an exponent of }\textcolor{#000099}{") * power) * "}. ")) → text3