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Exponent Conversion to Decimal

Exponent Conversion to Decimal
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2015-11-03 04:43
FunctionCoordinate GeometryProbability & Statistics
In collections CCSS Support Math II Unit 2
This example demonstrates converting the expression 'three-tenths to the fifth power' into decimal form, both in exponential and expanded forms. Using GeoGebra commands, the process is clearly illustrated, suitable for middle school and above students to learn about exponents and decimal conversion.

GeoGebra Commands & Parameters

  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