(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 6.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 4571, 173] NotebookOptionsPosition[ 3668, 137] NotebookOutlinePosition[ 4007, 152] CellTagsIndexPosition[ 3964, 149] WindowFrame->Normal ContainsDynamic->False*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["QUIZ 0 ", "Section", CellChangeTimes->{ 3.448022271871222*^9, {3.463229520668041*^9, 3.463229523351799*^9}}], Cell[CellGroupData[{ Cell["NAME :", "Subsubsection", CellChangeTimes->{{3.4632305368071833`*^9, 3.463230541003278*^9}}], Cell[TextData[{ "1) What is the 10th decimal place of ", Cell[BoxData[ FormBox[ SqrtBox["3"], TraditionalForm]]], "?" }], "Text", CellChangeTimes->{3.448193116955512*^9}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"N", "[", RowBox[{ RowBox[{"Sqrt", "[", "3", "]"}], ",", "30"}], "]"}]], "Input", FontSlant->"Italic"], Cell[BoxData[ FormBox["1.7320508075688772935274463415058723669428052`30", TraditionalForm]], "Output", FontSlant->"Italic"] }, Open ]], Cell["The 10th decimal place is 5.", "Text", FontSlant->"Italic"], Cell[TextData[{ "2) Which number is larger: ", Cell[BoxData[ FormBox[ SuperscriptBox["123", "122"], TraditionalForm]]], " or ", Cell[BoxData[ FormBox[ SuperscriptBox["122", "123"], TraditionalForm]]], "?" }], "Text", CellChangeTimes->{{3.4632295479180393`*^9, 3.463229585144356*^9}, { 3.4632297417477293`*^9, 3.463229760762732*^9}, 3.463229945180925*^9}], Cell[CellGroupData[{ Cell[BoxData[{ RowBox[{"N", "[", RowBox[{"123", "^", "122"}], "]"}], "\[IndentingNewLine]", RowBox[{"N", "[", RowBox[{"122", "^", "123"}], "]"}]}], "Input", CellChangeTimes->{{3.463229765016199*^9, 3.463229781003418*^9}}, FontSlant->"Italic"], Cell[BoxData["9.298729100375381`*^254"], "Output", CellChangeTimes->{3.4632297838790216`*^9}, FontSlant->"Italic"], Cell[BoxData["4.190435622505269`*^256"], "Output", CellChangeTimes->{3.463229783880101*^9}, FontSlant->"Italic"] }, Open ]], Cell[TextData[{ "So ", Cell[BoxData[ FormBox[ SuperscriptBox["122", "123"], TraditionalForm]]], " is the larger number (about 45 times larger!). Much later we will learn \ about inequalities in ", StyleBox["Mathematica,", FontSlant->"Italic"], " and then we would input" }], "Text", CellChangeTimes->{{3.46322979221551*^9, 3.463229819786735*^9}, { 3.4632298571091003`*^9, 3.463229868003498*^9}, {3.463229924212571*^9, 3.463229931428467*^9}, {3.463230025621606*^9, 3.463230057181888*^9}, { 3.463230096031147*^9, 3.4632301070227547`*^9}, {3.46323015198359*^9, 3.463230163503681*^9}, {3.463230505350829*^9, 3.4632305172204657`*^9}}, FontSlant->"Italic"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"123", "^", "122"}], " ", "<", " ", RowBox[{"122", "^", "123"}]}]], "Input", CellChangeTimes->{{3.463230064504815*^9, 3.463230072174679*^9}}, FontSlant->"Italic"], Cell[BoxData["True"], "Output", CellChangeTimes->{3.463230073979246*^9}, FontSlant->"Italic"] }, Open ]], Cell[TextData[{ "to show that ", Cell[BoxData[ FormBox[ SuperscriptBox["122", "123"], TraditionalForm]]], " is the larger number." }], "Text", CellChangeTimes->{{3.463230082788512*^9, 3.4632301154229927`*^9}, { 3.463230166855741*^9, 3.463230188744103*^9}, {3.463230520573118*^9, 3.463230520820773*^9}}, FontSlant->"Italic"] }, Open ]] }, Open ]] }, WindowSize->{606, 485}, WindowMargins->{{217, Automatic}, {Automatic, 133}}, FrontEndVersion->"6.0 for Mac OS X x86 (32-bit) (April 20, 2007)", StyleDefinitions->"Default.nb" ] (* End of Notebook Content *) (* Internal cache information *) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[590, 23, 117, 2, 67, "Section"], Cell[CellGroupData[{ Cell[732, 29, 99, 1, 25, "Subsubsection"], Cell[834, 32, 179, 7, 31, "Text"], Cell[CellGroupData[{ Cell[1038, 43, 132, 4, 27, "Input"], Cell[1173, 49, 128, 3, 27, "Output"] }, Open ]], Cell[1316, 55, 66, 1, 26, "Text"], Cell[1385, 58, 373, 12, 29, "Text"], Cell[CellGroupData[{ Cell[1783, 74, 253, 6, 43, "Input"], Cell[2039, 82, 116, 2, 30, "Output"], Cell[2158, 86, 114, 2, 30, "Output"] }, Open ]], Cell[2287, 91, 675, 16, 45, "Text"], Cell[CellGroupData[{ Cell[2987, 111, 201, 5, 27, "Input"], Cell[3191, 118, 95, 2, 27, "Output"] }, Open ]], Cell[3301, 123, 339, 10, 30, "Text"] }, Open ]] }, Open ]] } ] *) (* End of internal cache information *)