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What's wrong with this bogus proof?


What's wrong with this random variable proof?What's wrong with this proof that all UFDs are Bezout?What's wrong with this proof by contradiction?A bogus proof of countable power setWhat's wrong with this proof $1=i^2=-1$What is wrong with this proofWhat's wrong with this proof of symmetry of equality?What's wrong with this 1 = -1 proof?What's wrong with this proof? (Regular languages)What's wrong in this proof of 1=2?













2












$begingroup$


enter image description here



What is the mistake here? Is it matter of the unit?






discrete-mathematics proof-verification







share|cite|improve this question









$endgroup$








  • 5




    $begingroup$
    Yes, the units don’t match across the 2nd equals sign
    $endgroup$
    – Alex
    54 mins ago






  • 2




    $begingroup$
    Yes, you have to square the unit. Conversion of squared units is different: if 100 cents is a dollar, then $100^2$ cents squared is a dollar squred.
    $endgroup$
    – Dean Young
    54 mins ago


















2












$begingroup$


enter image description here



What is the mistake here? Is it matter of the unit?






discrete-mathematics proof-verification







share|cite|improve this question









$endgroup$








  • 5




    $begingroup$
    Yes, the units don’t match across the 2nd equals sign
    $endgroup$
    – Alex
    54 mins ago






  • 2




    $begingroup$
    Yes, you have to square the unit. Conversion of squared units is different: if 100 cents is a dollar, then $100^2$ cents squared is a dollar squred.
    $endgroup$
    – Dean Young
    54 mins ago
















2












2








2





$begingroup$


enter image description here



What is the mistake here? Is it matter of the unit?






discrete-mathematics proof-verification







share|cite|improve this question









$endgroup$




enter image description here



What is the mistake here? Is it matter of the unit?






discrete-mathematics proof-verification




discrete-mathematics proof-verification






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked 56 mins ago









ShinobuIsMyWifeShinobuIsMyWife

313




313








  • 5




    $begingroup$
    Yes, the units don’t match across the 2nd equals sign
    $endgroup$
    – Alex
    54 mins ago






  • 2




    $begingroup$
    Yes, you have to square the unit. Conversion of squared units is different: if 100 cents is a dollar, then $100^2$ cents squared is a dollar squred.
    $endgroup$
    – Dean Young
    54 mins ago
















  • 5




    $begingroup$
    Yes, the units don’t match across the 2nd equals sign
    $endgroup$
    – Alex
    54 mins ago






  • 2




    $begingroup$
    Yes, you have to square the unit. Conversion of squared units is different: if 100 cents is a dollar, then $100^2$ cents squared is a dollar squred.
    $endgroup$
    – Dean Young
    54 mins ago










5




5




$begingroup$
Yes, the units don’t match across the 2nd equals sign
$endgroup$
– Alex
54 mins ago




$begingroup$
Yes, the units don’t match across the 2nd equals sign
$endgroup$
– Alex
54 mins ago




2




2




$begingroup$
Yes, you have to square the unit. Conversion of squared units is different: if 100 cents is a dollar, then $100^2$ cents squared is a dollar squred.
$endgroup$
– Dean Young
54 mins ago






$begingroup$
Yes, you have to square the unit. Conversion of squared units is different: if 100 cents is a dollar, then $100^2$ cents squared is a dollar squred.
$endgroup$
– Dean Young
54 mins ago












2 Answers
2






active

oldest

votes


















2












$begingroup$

$$0.01=(sqrt{$}0.1)^2$, not $($0.1)^2$.






share|cite|improve this answer









$endgroup$





















    2












    $begingroup$

    You can clearly see the fallacy if you keep track of the units:




    • In the second equality, $$0.01 = $0.1times $0.1$ is not true, if you are doing units.


    • Even if the second equality were true, the third one gives problems: since $c=$/100$, you have
      $$
      ($0.1)^2=left(frac c{100},0.1right)^2=frac{c^2}{100}timesfrac1{10}=frac{c^2}{1000}.
      $$
      This is not $(10c)^2=100c^2$.



    In conclusion, two equalities are bogus, and so is the argument.






    share|cite|improve this answer











    $endgroup$













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      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      2












      $begingroup$

      $$0.01=(sqrt{$}0.1)^2$, not $($0.1)^2$.






      share|cite|improve this answer









      $endgroup$


















        2












        $begingroup$

        $$0.01=(sqrt{$}0.1)^2$, not $($0.1)^2$.






        share|cite|improve this answer









        $endgroup$
















          2












          2








          2





          $begingroup$

          $$0.01=(sqrt{$}0.1)^2$, not $($0.1)^2$.






          share|cite|improve this answer









          $endgroup$



          $$0.01=(sqrt{$}0.1)^2$, not $($0.1)^2$.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered 50 mins ago









          ArthurArthur

          117k7116200




          117k7116200























              2












              $begingroup$

              You can clearly see the fallacy if you keep track of the units:




              • In the second equality, $$0.01 = $0.1times $0.1$ is not true, if you are doing units.


              • Even if the second equality were true, the third one gives problems: since $c=$/100$, you have
                $$
                ($0.1)^2=left(frac c{100},0.1right)^2=frac{c^2}{100}timesfrac1{10}=frac{c^2}{1000}.
                $$
                This is not $(10c)^2=100c^2$.



              In conclusion, two equalities are bogus, and so is the argument.






              share|cite|improve this answer











              $endgroup$


















                2












                $begingroup$

                You can clearly see the fallacy if you keep track of the units:




                • In the second equality, $$0.01 = $0.1times $0.1$ is not true, if you are doing units.


                • Even if the second equality were true, the third one gives problems: since $c=$/100$, you have
                  $$
                  ($0.1)^2=left(frac c{100},0.1right)^2=frac{c^2}{100}timesfrac1{10}=frac{c^2}{1000}.
                  $$
                  This is not $(10c)^2=100c^2$.



                In conclusion, two equalities are bogus, and so is the argument.






                share|cite|improve this answer











                $endgroup$
















                  2












                  2








                  2





                  $begingroup$

                  You can clearly see the fallacy if you keep track of the units:




                  • In the second equality, $$0.01 = $0.1times $0.1$ is not true, if you are doing units.


                  • Even if the second equality were true, the third one gives problems: since $c=$/100$, you have
                    $$
                    ($0.1)^2=left(frac c{100},0.1right)^2=frac{c^2}{100}timesfrac1{10}=frac{c^2}{1000}.
                    $$
                    This is not $(10c)^2=100c^2$.



                  In conclusion, two equalities are bogus, and so is the argument.






                  share|cite|improve this answer











                  $endgroup$



                  You can clearly see the fallacy if you keep track of the units:




                  • In the second equality, $$0.01 = $0.1times $0.1$ is not true, if you are doing units.


                  • Even if the second equality were true, the third one gives problems: since $c=$/100$, you have
                    $$
                    ($0.1)^2=left(frac c{100},0.1right)^2=frac{c^2}{100}timesfrac1{10}=frac{c^2}{1000}.
                    $$
                    This is not $(10c)^2=100c^2$.



                  In conclusion, two equalities are bogus, and so is the argument.







                  share|cite|improve this answer














                  share|cite|improve this answer



                  share|cite|improve this answer








                  edited 31 mins ago









                  J. W. Tanner

                  3,0981320




                  3,0981320










                  answered 49 mins ago









                  Martin ArgeramiMartin Argerami

                  128k1184184




                  128k1184184






























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