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Book Ratio Calculation

Book Ratio Calculation
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2015-11-12 01:12
Coordinate GeometryProbability & StatisticsGeometric Construction
In collections CCSS Support Math I Unit 5
This example demonstrates how to use GeoGebra to calculate and display the ratio of fiction to non-fiction books. The core math concepts involved are fractions and ratio simplification. Key GeoGebra commands and objects used include SelectedIndex, Element, LaTeX, GCD; and FXX, indexfic, FXC, nonficbooks, Border, Gear, Book, Nexbl, prev, nexgr, pregr, Probar, Stepmax, Slider, P, Q, DatakitBG, Dataclose, WordstoknowBG, Wordsclose, Originalbutton, RandomButton, FXCV, FXXV, ficbooks, text11, text13, text16, text15, text14, text17_1, text18, text19, text19_1, text20, text20_1, text21, text21_1, totalbooks, xmin. It is suitable for middle school mathematics teaching, used to teach basic concepts of fractions and ratios.

GeoGebra Commands & Parameters

  1. SelectedIndex(FXX) → indexfic
  2. Element(FXC, indexfic) → nonficbooks
  3. SelectedElement(FXC) → FXCV
  4. SelectedElement(FXX) → FXXV
  5. SelectedElement(FXX) → ficbooks
  6. LaTeX("\text{and then as a fraction.}") → text11
  7. LaTeX((("\text{There are \textcolor{#000099}{" * ficbooks) * "} fiction books to reshelve.}")) → text13
  8. LaTeX("\text{raised to an exponent.}") → text16
  9. LaTeX("\text{the product of two terms,and so on until all the terms are prime terms.Any repeated terms can be written as a base}") → text15
  10. LaTeX((((("\text{To determine the prime factorization of \textcolor{#000099}{" * ficbooks) * "},rewrite \textcolor{#000099}{") * ficbooks) * "} as the product of two terms.Then,rewrite each of those terms as}")) → text14
  11. LaTeX("\text{Number of fiction books}") → text17_1
  12. LaTeX("\text{\textcolor{#000099}{=6 • 15}}") → text18
  13. LaTeX("\text{\textcolor{#000099}{=2 • 3 • 15}}") → text19
  14. LaTeX("\text{Rewrite \textcolor{#000099}{6} as the product of two prime terms.}") → text19_1
  15. LaTeX("\text{\textcolor{#000099}{= 2 • 3 • 3 • 5}}") → text20
  16. LaTeX("\text{Rewrite \textcolor{#000099}{15} as the product of two prime terms.}") → text20_1
  17. LaTeX("\text{\textcolor{#000099}{= 2 • 3² • 5}}") → text21
  18. LaTeX("\text{Rewrite \textcolor{#000099}{3 • 3} as a base raised to an exponent.}") → text21_1
  19. LaTeX("\text{Fiction Books:}") → DKT1
  20. LaTeX("\text{NonFiction Books:}") → DKT2
  21. LaTeX((("\text{ \textcolor{#000099}{" * ficbooks) * "}}")) → text17
  22. LaTeX((("\text{Rewrite \textcolor{#000099}{" * ficbooks) * "} as the product of two terms.}")) → text18_1
  23. LaTeX("\text{\textcolor{#000099}{=4 • 24}}") → text23
  24. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text24_2
  25. LaTeX("\text{\textcolor{#000099}{=2 • 2 • 24}}") → text24
  26. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 4 • 6}}") → text25
  27. LaTeX("\text{Rewrite \textcolor{#000099}{24} as the product of two prime terms.}") → text25_1
  28. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 2 • 2 • 6}}") → text26
  29. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text26_1
  30. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 2 • 2 • 2 • 3}}") → text27
  31. LaTeX("\text{Rewrite \textcolor{#000099}{6} as the product of two prime terms.}") → text27_1
  32. LaTeX("\text{\textcolor{#000099}{= 2⁵ • 3}}") → text28_1
  33. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2 • 2 • 2 • 2} as a base raised to an exponent.}") → text28
  34. LaTeX("\text{\textcolor{#000099}{=4 • 14}}") → text30
  35. LaTeX("\text{\textcolor{#000099}{=2 • 2 • 14}}") → text31
  36. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text31_1
  37. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 2 • 7}}") → text32
  38. LaTeX("\text{Rewrite \textcolor{#000099}{14} as the product of two prime terms.}") → text32_1
  39. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2 • 2} as a base raised to an exponent.}") → text33_1
  40. LaTeX("\text{\textcolor{#000099}{= 2³ • 7}}") → text33
  41. LaTeX((("\text{The prime factorization of \textcolor{#000099}{" * ficbooks) * "} is \textcolor{#000099}{2³ • 7}. }")) → text34
  42. LaTeX("\text{The prime factorization of \textcolor{#000099}{90} is \textcolor{#000099}{2 • 3² • 5}. }") → text22
  43. LaTeX("\text{\textcolor{#000099}{=4 • 9}}") → text35
  44. LaTeX("\text{\textcolor{#000099}{=2 • 2 • 9}}") → text36
  45. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text36_1
  46. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 3 • 3}}") → text37_2
  47. LaTeX("\text{Rewrite \textcolor{#000099}{9} as the product of two prime terms.}") → text37_1
  48. LaTeX("\text{\textcolor{#000099}{= 2² • 3²}}") → text38
  49. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2} and \textcolor{#000099}{3 • 3} as a base raised to an exponent.}") → text38_1
  50. LaTeX("\text{The prime factorization of \textcolor{#000099}{96} is \textcolor{#000099}{2⁵ • 3}. }") → text29_1
  51. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text41_1
  52. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text43_1
  53. LaTeX("\text{\textcolor{#000099}{=4 • 16}}") → text40
  54. LaTeX("\text{\textcolor{#000099}{=2 • 2 • 16}}") → text41
  55. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 4 • 4}}") → text42
  56. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 2 • 2 • 4}}") → text43
  57. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 2 • 2 • 2 • 2}}") → text44
  58. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text44_1
  59. LaTeX("\text{\textcolor{#000099}{= 2⁶}}") → text45
  60. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2 • 2 • 2 • 2 • 2} as a base raised to an exponent.}") → text45_1
  61. LaTeX("\text{The prime factorization of \textcolor{#000099}{64} is \textcolor{#000099}{2⁶}. }") → text46
  62. LaTeX("\text{Rewrite \textcolor{#000099}{6} as the product of two prime terms.}") → text48_1
  63. LaTeX("\text{Rewrite \textcolor{#000099}{3 • 3} as a base raised to an exponent.}") → text50_1
  64. LaTeX("\text{\textcolor{#000099}{=6 • 21}}") → text47
  65. LaTeX("\text{\textcolor{#000099}{=2 • 3 • 21}}") → text48
  66. LaTeX("\text{\textcolor{#000099}{= 2 • 3 • 3 • 7}}") → text49
  67. LaTeX("\text{Rewrite \textcolor{#000099}{21} as the product of two prime terms.}") → text49_1
  68. LaTeX("\text{\textcolor{#000099}{= 2 • 3² • 7}}") → text50
  69. LaTeX("\text{The prime factorization of \textcolor{#000099}{126} is \textcolor{#000099}{2 • 3² • 7}. }") → text51
  70. LaTeX("\text{\textcolor{#000099}{=4 • 21}}") → text52
  71. LaTeX("\text{\textcolor{#000099}{=2 • 2 • 21}}") → text53
  72. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text53_1
  73. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 3 • 7}}") → text54
  74. LaTeX("\text{Rewrite \textcolor{#000099}{21} as the product of two prime terms.}") → text54_1
  75. LaTeX("\text{\textcolor{#000099}{= 2² • 3 • 7}}") → text55
  76. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2} as a base raised to an exponent.}") → text55_1
  77. LaTeX("\text{The prime factorization of \textcolor{#000099}{84} is \textcolor{#000099}{2² • 3 • 7}. }") → text56
  78. LaTeX("\text{\textcolor{#000099}{=4 • 18}}") → text57
  79. LaTeX("\text{\textcolor{#000099}{=2 • 2 • 18}}") → text58
  80. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text58_1
  81. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 3 • 6}}") → text59
  82. LaTeX("\text{Rewrite \textcolor{#000099}{18} as the product of two prime terms.}") → text59_1
  83. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 3 • 2 • 3}}") → text62
  84. LaTeX("\text{Rewrite \textcolor{#000099}{6} as the product of two prime terms.}") → text62_1
  85. LaTeX("\text{\textcolor{#000099}{= 2³ • 3²}}") → text60
  86. LaTeX("\text{The prime factorization of \textcolor{#000099}{72} is \textcolor{#000099}{2³ • 3²}. }") → text61
  87. LaTeX("\text{\textcolor{#000099}{=4 • 4}}") → text63
  88. LaTeX("\text{\textcolor{#000099}{=2 • 2 • 4}}") → text64
  89. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text64_1
  90. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 2 • 2}}") → text65
  91. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text65_1
  92. LaTeX("\text{\textcolor{#000099}{= 2⁴}}") → text66
  93. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2 • 2 • 2} as a base raised to an exponent.}") → text66_1
  94. LaTeX("\text{nonfiction books to reshelve.}") → text70
  95. LaTeX("\text{the product of two terms until all the terms are prime.Write any repeated terms as a base raised to an exponent.}") → text73
  96. LaTeX((((("\text{To determine the prime factorization of \textcolor{#000099}{" * nonficbooks) * "},rewrite \textcolor{#000099}{") * nonficbooks) * "} as the product of two terms.Continue rewriting each resulting term as}")) → text72
  97. LaTeX((("\text{ \textcolor{#000099}{" * nonficbooks) * "}}")) → text74
  98. LaTeX((("\text{Rewrite \textcolor{#000099}{" * nonficbooks) * "} as the product of two terms.}")) → text75_1
  99. LaTeX("\text{\textcolor{#000099}{=8 • 9}}") → text75
  100. LaTeX("\text{\textcolor{#000099}{=2 • 4 • 9}}") → text76
  101. LaTeX("\text{Rewrite \textcolor{#000099}{8} as the product of two prime terms.}") → text76_1
  102. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 2 • 9}}") → text77
  103. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text77_1
  104. LaTeX("\text{Rewrite \textcolor{#000099}{9} as the product of two prime terms.}") → text78_1
  105. LaTeX("\text{Number of nonfiction books}") → text74_1
  106. LaTeX("\text{\textcolor{#000099}{=4 • 21}}") → text81
  107. LaTeX("\text{\textcolor{#000099}{=2 • 2 • 21}}") → text82
  108. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text82_1
  109. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 3 • 7}}") → text83
  110. LaTeX("\text{Rewrite \textcolor{#000099}{21} as the product of two prime terms.}") → text83_1
  111. LaTeX("\text{\textcolor{#000099}{= 2² • 3 • 7}}") → text84
  112. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2} as a base raised to an exponent.}") → text84_1
  113. LaTeX("\text{The prime factorization of \textcolor{#000099}{84} is \textcolor{#000099}{2² • 3 • 7}. }") → text85
  114. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text87_1
  115. LaTeX("\text{\textcolor{#000099}{=4 • 8}}") → text86
  116. LaTeX("\text{\textcolor{#000099}{=2 • 2 • 8}}") → text87
  117. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 2 • 4}}") → text88
  118. LaTeX("\text{Rewrite \textcolor{#000099}{8} as the product of two prime terms.}") → text88_1
  119. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 2 • 2 • 2}}") → text91_1
  120. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → text91
  121. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2 • 2 • 2 • 2} as a base raised to an exponent.}") → text89_1
  122. LaTeX("\text{\textcolor{#000099}{= 2⁵}}") → text89
  123. LaTeX("\text{The prime factorization of \textcolor{#000099}{32} is \textcolor{#000099}{2⁵}. }") → text90
  124. LaTeX("\text{\textcolor{#000099}{=9 • 9}}") → text92
  125. LaTeX("\text{\textcolor{#000099}{=3 • 3 • 9}}") → text93
  126. LaTeX("\text{Rewrite \textcolor{#000099}{9} as the product of two prime terms.}") → text93_1
  127. LaTeX("\text{\textcolor{#000099}{= 3 • 3 • 3 • 3}}") → text94
  128. LaTeX("\text{Rewrite \textcolor{#000099}{9} as the product of two prime terms.}") → text94_1
  129. LaTeX("\text{\textcolor{#000099}{= 3⁴}}") → text95
  130. LaTeX("\text{Rewrite \textcolor{#000099}{3 • 3 • 3 • 3} as a base raised to an exponent.}") → text95_1
  131. LaTeX("\text{The prime factorization of \textcolor{#000099}{81} is \textcolor{#000099}{3⁴}. }") → text96
  132. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → utext12_1
  133. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → utext14_1
  134. LaTeX("\text{\textcolor{#000099}{=4 • 12}}") → utext1
  135. LaTeX("\text{\textcolor{#000099}{=2 • 2 • 12}}") → utext12
  136. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 3 • 4}}") → utext13
  137. LaTeX("\text{Rewrite \textcolor{#000099}{12} as the product of two prime terms.}") → utext13_1
  138. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 3 • 2 • 2}}") → utext14
  139. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2 • 2 • 2} as a base raised to an exponent.}") → utext15_1
  140. LaTeX("\text{\textcolor{#000099}{= 2⁴ • 3}}") → utext15
  141. LaTeX("\text{The prime factorization of \textcolor{#000099}{48} is \textcolor{#000099}{2⁴ • 3}. }") → utext16
  142. LaTeX("\text{Rewrite \textcolor{#000099}{9} as the product of two prime terms.}") → utext19_1
  143. LaTeX("\text{\textcolor{#000099}{=6 • 9}}") → utext17
  144. LaTeX("\text{\textcolor{#000099}{=2 • 3 • 9}}") → utext18
  145. LaTeX("\text{Rewrite \textcolor{#000099}{6} as the product of two prime terms.}") → utext18_1
  146. LaTeX("\text{\textcolor{#000099}{= 2 • 3 • 3 • 3}}") → utext19
  147. LaTeX("\text{Rewrite \textcolor{#000099}{3 • 3 • 3} as a base raised to an exponent.}") → utext20_1
  148. LaTeX("\text{\textcolor{#000099}{= 2 • 3³}}") → utext20
  149. LaTeX("\text{The prime factorization of \textcolor{#000099}{54} is \textcolor{#000099}{2 • 3³}. }") → utext21
  150. LaTeX("\text{\textcolor{#000099}{=4 • 14}}") → utext22
  151. LaTeX("\text{\textcolor{#000099}{=2 • 2 • 14}}") → utext23
  152. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → utext23_1
  153. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 2 • 7}}") → utext24
  154. LaTeX("\text{Rewrite \textcolor{#000099}{14} as the product of two prime terms.}") → utext24_1
  155. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2 • 2} as a base raised to an exponent.}") → utext25_1
  156. LaTeX("\text{\textcolor{#000099}{= 2³ • 7}}") → utext25
  157. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2 • 2} as a base raised to an exponent.}") → utext30_1
  158. LaTeX("\text{\textcolor{#000099}{=4 • 30}}") → utext27
  159. LaTeX("\text{\textcolor{#000099}{=2 • 2 • 5 • 6}}") → utext28
  160. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 5 • 2 • 3}}") → utext29
  161. LaTeX("\text{Rewrite \textcolor{#000099}{6} as the product of two prime terms.}") → utext29_1
  162. LaTeX("\text{\textcolor{#000099}{= 2³ • 5 • 3}}") → utext30
  163. LaTeX("\text{\textcolor{#000099}{=4 • 9}}") → utext32
  164. LaTeX("\text{\textcolor{#000099}{=2 • 2 • 9}}") → utext33
  165. LaTeX("\text{Rewrite \textcolor{#000099}{4} as the product of two prime terms.}") → utext33_1
  166. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 3 • 3}}") → utext34_1
  167. LaTeX("\text{Rewrite \textcolor{#000099}{9} as the product of two prime terms.}") → utext34
  168. LaTeX("\text{\textcolor{#000099}{= 2² • 3²}}") → utext35
  169. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2} and \textcolor{#000099}{3 • 3} as a base raised to an exponent.}") → utext35_1
  170. LaTeX("\text{exponent of the common factors to find the greatest common factor of the two numbers.}") → utext39
  171. LaTeX("\text{Compare the prime factorizations:}") → utext40
  172. LaTeX("\text{Multiply the common factors to find the greatest common factor.}") → utext43
  173. GCD(ficbooks, nonficbooks) → commonfactor
  174. LaTeX("\text{Multiply.}") → utext47_1
  175. LaTeX("\text{The common factors are \textcolor{#000099}{2} and \textcolor{#000099}{3}.The smallest exponent of the \textcolor{#000099}{2}’s is understood to be \textcolor{#000099}{1}.The smallest exponent of the \textcolor{#000099}{3}’s is \textcolor{#000099}{2}.}") → utext42
  176. LaTeX("\text{Raise \textcolor{#000099}{3} to the power of \textcolor{#000099}{2}.}") → utext46_1
  177. LaTeX((((((("\text{The greatest common factor of \textcolor{#000099}{" * ficbooks) * "} and \textcolor{#000099}{") * nonficbooks) * "} is \textcolor{#000099}{") * commonfactor) * "}.}")) → utext48
  178. LaTeX("\text{The ratio of fiction to nonfiction books the librarian has to reshelve can be written with the number of fiction books}") → utext50
  179. LaTeX((((("\text{so the ratio is \textcolor{#000099}{" * ficbooks) * " : ") * nonficbooks) * "}.}")) → utext52
  180. LaTeX("\text{Write the ratio using a colon and then as a fraction.}") → utext49_1
  181. LaTeX("\text{Ratio of fiction to nonfiction books}") → utext53_1
  182. LaTeX("\text{Simplify.}") → utext55_1
  183. LaTeX("\text{Divide each side by the greatest common factor.}") → utext54_1
  184. LaTeX((((((((("\text{The ratio in simplest form of fiction to nonfiction books that the librarian has to reshelve is \textcolor{#000099}{" * ratioficbooks) * ":") * rationonficbooks) * "} or,as a fraction,\textcolor{#000099}{\frac{") * ratioficbooks) * "}{") * rationonficbooks) * "}}.}")) → utext56
  185. LaTeX("\text{The common factors are \textcolor{#000099}{2} and \textcolor{#000099}{3}.The smallest exponent of the \textcolor{#000099}{2}’s is understood to be \textcolor{#000099}{2}.The smallest exponent of the \textcolor{#000099}{3}’s is \textcolor{#000099}{1}.}") → utext65_1
  186. LaTeX("\text{Raise \textcolor{#000099}{2} to the power of \textcolor{#000099}{2}.}") → utext67_1
  187. LaTeX("\text{The common factor is \textcolor{#000099}{2}.The smallest exponent of the \textcolor{#000099}{2}’s is understood to be \textcolor{#000099}{3}.}") → utext68
  188. LaTeX("\text{Raise \textcolor{#000099}{2} to the power of \textcolor{#000099}{3}.}") → utext70_1
  189. LaTeX("\text{The common factor is \textcolor{#000099}{3}.The smallest exponent of the \textcolor{#000099}{3}’s is understood to be \textcolor{#000099}{2}.}") → utext71
  190. LaTeX("\text{Raise \textcolor{#000099}{3} to the power of \textcolor{#000099}{2}.}") → utext72_1
  191. LaTeX("\text{The common factor is \textcolor{#000099}{2}.The smallest exponent of the \textcolor{#000099}{2}’s is understood to be \textcolor{#000099}{4}.}") → utext74
  192. LaTeX("\text{Raise \textcolor{#000099}{2} to the power of \textcolor{#000099}{4}.}") → utext76_1
  193. LaTeX("\text{The common factors are \textcolor{#000099}{2} and \textcolor{#000099}{3}.The smallest exponent of the \textcolor{#000099}{2}’s is understood to be \textcolor{#000099}{1}.The smallest exponent of the \textcolor{#000099}{3}’s is \textcolor{#000099}{2}.}") → utext77
  194. LaTeX("\text{Raise \textcolor{#000099}{3} to the power of \textcolor{#000099}{2}.}") → utext79_1
  195. LaTeX("\text{The common factors are \textcolor{#000099}{2} and \textcolor{#000099}{7}.The smallest exponent of the \textcolor{#000099}{2}’s is understood to be \textcolor{#000099}{2}.The smallest exponent of the \textcolor{#000099}{7}’s is \textcolor{#000099}{1}.}") → utext80
  196. LaTeX("\text{Raise \textcolor{#000099}{2} to the power of \textcolor{#000099}{2}.}") → utext82
  197. LaTeX("\text{The common factors are \textcolor{#000099}{2} and \textcolor{#000099}{3}.The smallest exponent of the \textcolor{#000099}{2}’s is understood to be \textcolor{#000099}{3}.The smallest exponent of the \textcolor{#000099}{3}’s is \textcolor{#000099}{1}.}") → utext83
  198. LaTeX("\text{Raise \textcolor{#000099}{2} to the power of \textcolor{#000099}{3}.}") → utext85_1
  199. LaTeX("\text{Raise \textcolor{#000099}{3} to the power of \textcolor{#000099}{2}.}") → utext88_1
  200. LaTeX("\text{The common factor is \textcolor{#000099}{2}.The smallest exponent of the \textcolor{#000099}{2}’s is understood to be \textcolor{#000099}{2}.}") → utext86
  201. LaTeX((((("\text{A librarian has a total of \textcolor{#000099}{ " * totalbooks) * "} books to reshelve.Of these books,\textcolor{#000099}{") * ficbooks) * "} are fiction and the rest are nonfiction.What is}")) → text1
  202. LaTeX("\text{the ratio in simplest form of fiction to nonfiction books that the librarian has to reshelve? Write the ratio using a colon}") → text10
  203. LaTeX("\text{Determine the prime factorization of the number of fiction books the librarian has to reshelve.}") → text12
  204. LaTeX("\text{Find the number of nonfiction books the librarian has to reshelve.}") → text68
  205. LaTeX("\text{Determine the prime factorization of the number of nonfiction books the librarian has to reshelve.}") → text71
  206. LaTeX((("\text{\textcolor{#000099}{=" * commonfactor) * "}}")) → utext47_2
  207. LaTeX("\text{\textcolor{#000099}{=2 • 9}}") → utext46
  208. LaTeX("\text{\textcolor{#000099}{=4 • 3}}") → utext67
  209. LaTeX("\text{\textcolor{#000099}{=8}}") → utext70
  210. LaTeX("\text{\textcolor{#000099}{=9}}") → utext73
  211. LaTeX("\text{\textcolor{#000099}{=16}}") → utext76
  212. LaTeX("\text{\textcolor{#000099}{=2 • 9}}") → utext79
  213. LaTeX("\text{\textcolor{#000099}{=4 • 7}}") → utext82_1
  214. LaTeX("\text{\textcolor{#000099}{=8 • 3}}") → utext85
  215. LaTeX("\text{\textcolor{#000099}{=4}}") → utext88
  216. LaTeX("\text{Use the prime factorizations to find the greatest common factor of the two numbers.}") → utext37
  217. LaTeX("\text{Use the greatest common factor to write the ratio of fiction to nonfiction books in simplest form.}") → utext49
  218. LaTeX("\text{\textcolor{#000099}{= 2 • 2 • 2 • 3 • 3}}") → text78
  219. LaTeX("\text{\textcolor{#000099}{= 2³ • 3²}}") → text79
  220. LaTeX("\text{The prime factorization of \textcolor{#000099}{72} is \textcolor{#000099}{2³ • 3²}. }") → text80
  221. LaTeX((((((((((("\text{The total number of books the librarian has to reshelve is \textcolor{#000099}{" * totalbooks) * "},and \textcolor{#000099}{") * ficbooks) * "} of those are fiction,so the librarian has \textcolor{#000099}{") * totalbooks) * "-") * ficbooks) * " = ") * nonficbooks) * "}}")) → text69
  222. LaTeX("\text{Look at the prime factorizations of the numbers of fiction and nonfiction books,and then choose the smallest}") → utext37_1
  223. LaTeX("\text{Fiction books:\textcolor{#000099}{2 • 3² • 5}}") → utext41
  224. LaTeX("\text{Nonfiction books:\textcolor{#000099}{2³ • 3²}}") → utext41_1
  225. LaTeX("\text{\textcolor{#000099}{2 • 3²}}") → utext45
  226. LaTeX("\text{\textcolor{#000099}{2² • 3}}") → utext66
  227. LaTeX("\text{Fiction books:\textcolor{#000099}{2⁵ • 3}}") → utext57
  228. LaTeX("\text{Nonfiction books:\textcolor{#000099}{2² • 3 • 7}}") → utext57_1
  229. LaTeX("\text{Fiction books:\textcolor{#000099}{2³ • 7}}") → utext58
  230. LaTeX("\text{Nonfiction books:\textcolor{#000099}{2⁵}}") → utext58_1
  231. LaTeX("\text{\textcolor{#000099}{2³}}") → utext69
  232. LaTeX("\text{Fiction books:\textcolor{#000099}{2² • 3²}}") → utext59
  233. LaTeX("\text{Nonfiction books:\textcolor{#000099}{3⁴}}") → utext59_1
  234. LaTeX("\text{\textcolor{#000099}{3²}}") → utext72
  235. LaTeX("\text{Nonfiction books:\textcolor{#000099}{2⁴ • 3}}") → utext60
  236. LaTeX("\text{Fiction books:\textcolor{#000099}{2⁶}}") → utext60_1
  237. LaTeX("\text{\textcolor{#000099}{2⁴}}") → utext75
  238. LaTeX("\text{Nonfiction books:\textcolor{#000099}{2 • 3³}}") → utext61
  239. LaTeX("\text{Fiction books:\textcolor{#000099}{2 • 3² • 7}}") → utext61_1
  240. LaTeX("\text{\textcolor{#000099}{2 • 3²}}") → utext78
  241. LaTeX("\text{Fiction books:\textcolor{#000099}{2² • 3 • 7}}") → utext62
  242. LaTeX("\text{Nonfiction books:\textcolor{#000099}{2³ • 7}}") → utext62_1
  243. LaTeX("\text{\textcolor{#000099}{2² • 7}}") → utext81
  244. LaTeX("\text{Fiction books:\textcolor{#000099}{2³ • 3²}}") → utext63
  245. LaTeX("\text{Nonfiction books:\textcolor{#000099}{2³ • 5 • 3}}") → utext63_1
  246. LaTeX("\text{\textcolor{#000099}{2³ • 3}}") → utext84
  247. LaTeX("\text{\textcolor{#000099}{2²}}") → utext87
  248. LaTeX("\text{Fiction books:\textcolor{#000099}{2⁴}}") → utext64
  249. LaTeX("\text{Nonfiction books:\textcolor{#000099}{2² • 3²}}") → utext64_1
  250. LaTeX((((("\text{before a colon,and the number of nonfiction books after the colon.There are \textcolor{#000099}{" * ficbooks) * "} fiction books and \textcolor{#000099}{") * nonficbooks) * "} nonfiction books,}")) → utext51
  251. LaTeX((((("\text{\textcolor{#000099}{" * ficbooks) * " : ") * nonficbooks) * "}}")) → utext53
  252. LaTeX((((((((("\text{\textcolor{#000099}{=\frac{" * ficbooks) * "} {") * commonfactor) * "}:\frac{") * nonficbooks) * "}{") * commonfactor) * "}}}")) → utext54
  253. LaTeX((((("\text{\textcolor{#000099}{=" * ratioficbooks) * ":") * rationonficbooks) * "}}")) → utext55
  254. LaTeX((("\text{\textcolor{#000099}{" * nonficbooks) * "}}")) → text2
  255. LaTeX("\text{multiplied produce a given product.}") → text4
  256. LaTeX("\text{\mathbf{Factor (noun)} one of two or more numbers or expressions that when}") → text3
  257. LaTeX("\text{\mathbf{Factor (verb)} to write an expression as the product of its factors.}") → text5
  258. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2 • 2} and \textcolor{#000099}{3 • 3} each as a base raised to an exponent.}") → text79_1
  259. LaTeX("\text{Expression containing the smallest exponent of the common factors}") → utext44
  260. LaTeX((("\text{Divide both numbers by the \textcolor{#000099}{GCF," * commonfactor) * "},to write the ratio in simplest form.}")) → utext52_1
  261. LaTeX("\text{Rewrite \textcolor{#000099}{16} as the product of two prime terms.}") → text42_1
  262. LaTeX("\text{The prime factorization of \textcolor{#000099}{36} is \textcolor{#000099}{2² • 3²}. }") → text39
  263. LaTeX((("\text{The prime factorization of \textcolor{#000099}{" * nonficbooks) * "} is \textcolor{#000099}{2³ • 7}. }")) → utext26
  264. LaTeX("\text{The prime factorization of \textcolor{#000099}{90} is \textcolor{#000099}{2⁴}. }") → text67
  265. LaTeX("\text{The prime factorization of \textcolor{#000099}{36} is \textcolor{#000099}{ 2² • 3²}. }") → utext36
  266. LaTeX((("\text{The prime factorization of \textcolor{#000099}{" * nonficbooks) * "} is \textcolor{#000099}{2³ • 5 • 3}. }")) → utext31
  267. LaTeX("\text{Rewrite \textcolor{#000099}{2 • 2• 2} and \textcolor{#000099}{3 • 3} as a base raised to an exponent.}") → text60_1
  268. LaTeX("\text{Rewrite \textcolor{#000099}{4} and \textcolor{#000099}{30} as the product of two prime terms.}") → utext28_1