In this message, I will be talking about real numbers only. I also presume that every reader understands that for any real number , and that .
Why is it, that converting a fraction to a percentage, the fraction should be "multiplied by 100%"? Here are some examples:
http://www.cimt.plymouth.ac.uk/proje...gcse/bkb11.pdf
What sense does it make to multiply a fraction by 100%, which equals 1?
But here is what is far worse:
Many business books in my country actually suggest that, for example
! Yes, multiplied by 100, not 100%.
Am I incorrect if I state that
and that
?
Yes, . But what sense does it make to tell students to multiply by 100% to obtain 50%, when 100% is not necessary?
Multiplying by 100, not 100%:
There is really nothing to get excited about here as it is short hand for . So nothing changes when you multiply by which is as it should be.
If you multiply by things do change .
Since multiplying by does nothing there is never any harm done, all you have is a computational aide for those who really do not understand what is going on.
Multiplying by and then appending a at the end of the calculation is a slight abuse of notation but if you know what you are doing then it does not matter.
CB