1rBTX 01. NOMBRES REALS/1.1.1 Aproximació i error
1.1.1.63Q ErrorRelatiuArrodonirCentèsims4exercicis (còpia)
Calcula l'error relatiu (arrodonit als mil·lèsims) si s'arrodoneix la quantitat als dècims
Posa punt en lloc de coma
Quantitat |
a) #a_1 |
b) #a_2 |
c) #a_3 |
d) #a_4 |
]]>
1.0000000
0.3333333
0
0
a) =#e_1b) =#e_2c) =#e_3d) =#e_4]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a_1</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>100000</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>.</mo><mn>1</mn><mo>)</mo><mo>)</mo></mrow><mn>100000</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b_1</mi><mo>=</mo><mi>arrodoneix</mi><mo>(</mo><mn>10</mn><mo>*</mo><mi>a_1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c_1</mi><mo>=</mo><mo>(</mo><mi>b_1</mi><mo>/</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a_2</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>100000</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>.</mo><mn>1</mn><mo>)</mo><mo>)</mo></mrow><mn>100000</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b_2</mi><mo>=</mo><mi>arrodoneix</mi><mo>(</mo><mn>10</mn><mo>*</mo><mi>a_2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c_2</mi><mo>=</mo><mo>(</mo><mi>b_2</mi><mo>/</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a_3</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>100000</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>.</mo><mn>1</mn><mo>)</mo><mo>)</mo></mrow><mn>100000</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b_3</mi><mo>=</mo><mi>arrodoneix</mi><mo>(</mo><mn>10</mn><mo>*</mo><mi>a_3</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c_3</mi><mo>=</mo><mo>(</mo><mi>b_3</mi><mo>/</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a_4</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>100000</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>.</mo><mn>1</mn><mo>)</mo><mo>)</mo></mrow><mn>100000</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b_4</mi><mo>=</mo><mi>arrodoneix</mi><mo>(</mo><mn>10</mn><mo>*</mo><mi>a_4</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c_4</mi><mo>=</mo><mo>(</mo><mi>b_4</mi><mo>/</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d_1</mi><mo>=</mo><mfenced close="|" open="|"><mrow><mi>a_1</mi><mo>-</mo><mi>c_1</mi></mrow></mfenced><mo> </mo><mo> </mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d_2</mi><mo>=</mo><mfenced close="|" open="|"><mrow><mi>a_2</mi><mo>-</mo><mi>c_2</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d_3</mi><mo>=</mo><mfenced close="|" open="|"><mrow><mi>a_3</mi><mo>-</mo><mi>c_3</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d_4</mi><mo>=</mo><mfenced close="|" open="|"><mrow><mi>a_4</mi><mo>-</mo><mi>c_4</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e_1</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>1000</mn><mo>*</mo><mfenced><mrow><mi>d_1</mi><mo>/</mo><mi>a_1</mi></mrow></mfenced><mo>)</mo></mrow><mn>1000</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e_2</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>1000</mn><mo>*</mo><mfenced><mrow><mi>d_2</mi><mo>/</mo><mi>a_2</mi></mrow></mfenced><mo>)</mo></mrow><mn>1000</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e_3</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>1000</mn><mo>*</mo><mfenced><mrow><mi>d_3</mi><mo>/</mo><mi>a_3</mi></mrow></mfenced><mo>)</mo></mrow><mn>1000</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e_4</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>1000</mn><mo>*</mo><mfenced><mrow><mi>d_4</mi><mo>/</mo><mi>a_4</mi></mrow></mfenced><mo>)</mo></mrow><mn>1000</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a_1</mi><mo>,</mo><mi>c_1</mi><mo>,</mo><mi>d_1</mi><mo>,</mo><mi>e_1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.26709</mn><mo>,</mo><mn>0.3</mn><mo>,</mo><mn>0.03291</mn><mo>,</mo><mn>0.123</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a_2</mi><mo>,</mo><mi>c_2</mi><mo>,</mo><mi>d_2</mi><mo>,</mo><mi>e_2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.6909</mn><mo>,</mo><mn>4.7</mn><mo>,</mo><mn>0.0091</mn><mo>,</mo><mn>0.002</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a_3</mi><mo>,</mo><mi>c_3</mi><mo>,</mo><mi>d_3</mi><mo>,</mo><mi>e_3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.65254</mn><mo>,</mo><mn>0.7</mn><mo>,</mo><mn>0.04746</mn><mo>,</mo><mn>0.073</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a_4</mi><mo>,</mo><mi>c_4</mi><mo>,</mo><mi>d_4</mi><mo>,</mo><mi>e_4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.7285</mn><mo>,</mo><mn>4.7</mn><mo>,</mo><mn>0.02847</mn><mo>,</mo><mn>0.006</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">e</mi><mi>_</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo> </mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">e</mi><mi>_</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo> </mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">e</mi><mi>_</mi><mn>3</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>)</mo><mo> </mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">e</mi><mi>_</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">8</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
L'arrodoniment és:
a) #c_1
b) #c_2
c) #c_3
d) #c_4
]]>
L'error absolut és:
a) #d_1
b) #d_2
c) #d_3
d) #d_4
]]>