幂运算与小数转换
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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
LaTeX(steps) → counterLaTeX("\text{Use the buttons below to return to the original problem or}\cr\text{randomly generate a similar practice problem.}") → RandomizationTextCorner(1) → ACorner(3) → BLaTeX(fractext) → fracexLaTeX("\text{Write the expression in expanded form.}") → text5LaTeX((((((((((("\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.}")) → text6LaTeX((("\text{Symbolically, }\textcolor{#000099}{" * decex) * "}.")) → text7LaTeX("\text{Write the verbal expression as a numeric expression in exponential form using fractions.}") → text8LaTeX("\text{Write the verbal expression as a numeric expression in exponential form using decimals.}") → text1LaTeX("\text{Write the expression in expanded form.}") → text12LaTeX((((((((((((((("\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.}")) → text13LaTeX((((("\text{The verbal expression, ``" * baseword) * "'' written as a decimal is }\textcolor{#000099}{") * decimal) * "}\text{. This}\cr\text{represents the base of the exponential expression. }")) → text2LaTeX((("\text{Symbolically, }\textcolor{#000099}{" * fracex) * "}\text{.}")) → text14LaTeX((((((((("\text{The expression ``" * baseword) * " to the ") * powword) * " power'' written in exponential form is }\textcolor{#000099}{(") * decimal) * ")^{") * power) * "}}.")) → text4LaTeX((((((((((("\text{The expression ``" * baseword) * " to the ") * powword) * " power'' written in exponential form is }\textcolor{#000099}{\left(\frac{") * num) * "}{") * den) * "}\right)^{") * power) * "}}.")) → text11LaTeX("\text{Move the slider to solve the problem.}") → text0LaTeX((((("\text{Verbal expression: " * baseword) * " to the ") * powword) * " power}")) → ProblemLaTeX((((((("\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.}")) → text9LaTeX((((("\text{The verbal expression ``" * powword) * " power'' is written as an exponent of }\textcolor{#000099}{") * power) * "}. ")) → text10LaTeX("\text{Evaluate the decimal and fraction versions of the expression.}") → text15LaTeX((((("\text{As a decimal, the numeric result of the expression }\cr\textcolor{#000099}{" * decex) * "}\text{ is }\textcolor{#000099}{") * dece) * "}.")) → text16LaTeX((((((("\text{As a fraction, the numeric result of the expression}\cr\textcolor{#000099}{" * fracex) * "}\text{is }\textcolor{#000099}{\frac{") * nump) * "}{") * denp) * "}}.")) → text17LaTeX((((("\text{The verbal expression, ``" * powword) * " power'' is written as an exponent of }\textcolor{#000099}{") * power) * "}. ")) → text3