<?xml version="1.0" encoding="UTF-8"?>
<quiz>
<!-- question: 0  -->
  <question type="category">
    <category>
      <text>top/1 Grundlagen</text>
    </category>
    <info format="markdown">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 8267  -->
  <question type="formulas">
    <name>
      <text>Exponentialdarstellung</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Stellen Sie die folgenden Grössenangaben in Exponentialdarstellung dar.</p>

<p>Geben Sie dazu in das erste Feld die Mantisse, in das zweite den Zehner-Exponenten ein.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>3.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Die Antwort ist richtig.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Die Antwort ist teilweise richtig.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Die Antwort ist falsch.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>jA = {0:11};
sigA = {2:5};
decA = {1:4};
expA = {1:8};

jB = {7:11};
decB = {1:3};
mB = {1.1:9.9:0.1};</text>
</varsrandom>
<varsglobal><text><![CDATA[Prefix = ["p", "n", "µ", "m", "c", "d", "da", "h", "k", "M", "G", "T"];
Exponent = [-12, -9, -6,-3, -2, -1, 1, 2, 3, 6, 9, 12]; 

mA = sigfig(sqrt(2),sigA);
eA = decA + expA + Exponent[jA];
fA1 = "\\( ";
fA2 = str(mA*10**decA);
fA3 = "\\cdot 10^{";
fA4 = str(expA);
fA5 = "}\\,\\mathrm{";
fA6 = Prefix[jA];
fA7 = "m}=\\; \\)";
formulaA=join(" ",fA1,fA2,fA3,fA4,fA5,fA6,fA7);

eB = decB + Exponent[jB] - 3;
fB1 = "\\( ";
fB2 = str(mB*3.6*10**decB);
fB3 = "\\,\\mathrm{";
fB4 = Prefix[jB];
fB5 = "m/h}=\\; \\)";
formulaB=join(" ",fB1,fB2,fB3,fB4,fB5);]]></text>
</varsglobal>
<answernumbering><text>none</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[mA,eA]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>0.5 * ( ( _0 == mA ) + ( _1 == eA ) )</text>
 </correctness>
 <unitpenalty>
  <text>0.2</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p>{formulaA} {_0} E {_1} \( \mathrm{m} \)</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>2</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[mB,eB]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>0.5 * ( ( _0 == mB ) + ( _1 == eB ) )</text>
 </correctness>
 <unitpenalty>
  <text>0.2</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p>{formulaB} {_0} E {_1} \( \mathrm{m/s} \)</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 8268  -->
  <question type="formulas">
    <name>
      <text>Grössenangaben mit Zehnerpotenz</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Geben Sie die folgenden Grössenangaben in Exponentialdarstellung und SI-Basiseinheit an.</p>
<p>HINWEISE:</p>
<ul>
<li>«E5» steht für «\( \cdot 10^5 \)» und die Einheit muss als Buchstabe nach einem Leerzeichen eingegeben werden.</li>
<li>Für «\( 2.3 \cdot 10^5 \;\mathrm{Mm} \)» müsste man «2.3E11 m» eingeben.</li>
</ul>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>2.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Die Antwort ist richtig.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Die Antwort ist teilweise richtig.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Die Antwort ist falsch.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>mA = {1.1:9.9:0.1};
jA = {0:11};
expA = {-5:5:2};

mB = {1.1:9.9:0.1};
jB = {0:11};
expB = {-5:5:2};</text>
</varsrandom>
<varsglobal><text><![CDATA[Prefix = ["p", "n", "µ", "m", "c", "d", "da", "h", "k", "M", "G", "T"];
Exponent = [-12, -9, -6,-3, -2, -1, 1, 2, 3, 6, 9, 12]; 

eA = expA + Exponent[jA];
solA = mA*10**eA;
fA1 = "\\( ";
fA2 = str(mA);
fA3 = "\\cdot 10^{";
fA4 = str(expA);
fA5 = "}\\,\\mathrm{";
fA6 = Prefix[jA];
fA7 = "m}=\\; \\)";
formulaA=join(" ",fA1,fA2,fA3,fA4,fA5,fA6,fA7);

eB = expB + Exponent[jB];
solB = mB*10**eB;
fB1 = "\\( ";
fB2 = str(mB);
fB3 = "\\cdot 10^{";
fB4 = str(expB);
fB5 = "}\\,\\mathrm{";
fB6 = Prefix[jB];
fB7 = "s}=\\; \\)";
formulaB=join(" ",fB1,fB2,fB3,fB4,fB5,fB6,fB7);]]></text>
</varsglobal>
<answernumbering><text>none</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[solA]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[_relerr < 0.001]]></text>
 </correctness>
 <unitpenalty>
  <text>0.2</text>
 </unitpenalty>
 <postunit>
  <text>m</text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{formulaA} {_0}{_u}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[solB]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[_relerr < 0.001]]></text>
 </correctness>
 <unitpenalty>
  <text>0.2</text>
 </unitpenalty>
 <postunit>
  <text>s</text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{formulaB} {_0}{_u}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 8269  -->
  <question type="formulas">
    <name>
      <text>Signifikante Stellen (Addition)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Berechnen Sie das Resultat und stellen Sie es korrekt gerundet dar.<br>HINWEIS: Geben Sie eine Dezimalzahl ein.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Die Antwort ist richtig.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Die Antwort ist teilweise richtig.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Die Antwort ist falsch.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>nA = {1:5};
nB = {1:7};
nC = {1:7};

shuffleA = shuffle([1:9]);
shuffleB = shuffle([1:9]);
shuffleC = shuffle([1:9]);</text>
</varsrandom>
<varsglobal><text><![CDATA[mA = 0;
mB = 0;
mC = 0;
for (i:[0:8]) {
  mA = mA + shuffleA[i] * 10**(2-i);
  mB = mB + shuffleB[i] * 10**(3-i);
  mC = mC + shuffleC[i] * 10**(-i);
}

xA = round( mA, nA );
xB = round( mB, nB );
xC = round( mC, nC );
x = round( xA + xB + xC, min(nA, nB, nC) );


formula = join(" ", "\\( \\large ", str(xA), "\\;+\\;", str(xB), "\\;+\\;", str(xC), "=\\; \\)");]]></text>
</varsglobal>
<answernumbering><text>none</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>x</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>0.2</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{formula} {_0}</p><br>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 8270  -->
  <question type="formulas">
    <name>
      <text>Signifikante Stellen (Multiplikation)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Berechnen Sie das Resultat und stellen Sie es korrekt gerundet dar.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Die Antwort ist richtig.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Die Antwort ist teilweise richtig.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Die Antwort ist falsch.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>sA = {2:5};
sB = {2:7};
sC = {2:7};

shuffleA = shuffle([1:9]);
shuffleB = shuffle([1:9]);
shuffleC = shuffle([1:9]);</text>
</varsrandom>
<varsglobal><text><![CDATA[mA = 0;
mB = 0;
mC = 0;
for (i:[0:8]) {
  mA = mA + shuffleA[i] * 10**(sA-2-i);
  mB = mB + shuffleB[i] * 10**(1-i);
  mC = mC + shuffleC[i] * 10**(-i);
}

xA = sigfig( mA, sA );
xB = sigfig( mB, sB );
xC = sigfig( mC, sC );
x = sigfig( xA / (xB * xC) , min(sA, sB, sC) );

formula = join(" ", "\\( \\large\\frac{", str(xA), "}{", str(xB), "\\;\\cdot\\;", str(xC), "}=\\; \\)");]]></text>
</varsglobal>
<answernumbering><text>none</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>x</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>0.2</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p>{formula} {_0}&emsp; (Dezimalzahl)</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 8271  -->
  <question type="formulas">
    <name>
      <text>Signifikante Stellen (Zählen)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Wie viele signifikante Stellen haben folgende Zahlen?<br>HINWEIS: Geben Sie eine Zahl ein (z.B. «3» und nicht «drei»).</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Die Antwort ist richtig.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Die Antwort ist teilweise richtig.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Die Antwort ist falsch.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>ea = {1:4};
da = {1:3};

eb = {-4:-1};
sb = {1:7};</text>
</varsrandom>
<varsglobal><text>sa = ea + da;
xa=sigfig(exp(1) * 10**ea, sa);
xb=sigfig(pi() * 10**eb, sb);</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>0.5</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>sa</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>0.2</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{xa} ➞ {_0}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>0.5</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>sb</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>0.2</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{xb} ➞ {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

</quiz>