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- Thread starter KWF
- Start date
They are equivalent.Does $35.95 per year per $1000 indicate which one of the following and why?
$35.95(year/$1000) or ($35.95/1 year)/$1000
\(\displaystyle \dfrac{$35.95}{\dfrac{year}{$1000}} = \dfrac{\dfrac{$35.95}{1}}{\dfrac{1\ year}{$1000}} =\dfrac{$35.95}{1} * \dfrac{$1000}{1\ year} = \dfrac{0.03595}{year}.\)
\(\displaystyle \dfrac{\dfrac{$35.95}{1\ year}}{$1000} = \dfrac{\dfrac{$35.95}{1\ year}}{\dfrac{$1000}{1}} =\dfrac{$35.95}{1\ year} * \dfrac{1}{$1000} = \dfrac{0.03595}{year}.\)
When you are dealing ONLY with multiplication and division (or ONLY with addition and subtraction) placement of parentheses never makes any difference.Thanks for the reply!
Does it make a difference where the parentheses are placed?
EDIT: Ah Subhatash Khan you are right. That dual use of - to mean subtraction or to mean negative means that parentheses may make a difference whenever you have to deal with minus signs. Thanks for the correction. Going off to the corner now.
Last edited:
D
Deleted member 4993
Guest
In my opinion - it does.When you are dealing ONLY with multiplication and division (or ONLY with addition and subtraction) placement of parentheses never makes any difference.
3 - -2 =?
3 - -2 +3 =?
3 - (-2 +3) =?