associativity of multiplication
It’s important to know the following interpretation of the associative law
A product () is multiplied by a number () so that only one () of the product is multiplied by that number.
This rule is sometimes violated even in high school e.g. like
which is wrong. Or when solving an equation like
one would like to multiply both sides by 3 for removing the denominator, getting perhaps
then the both of left side have incorrectly been multiplied by 3.
The reason of such mistakes is very likely that one confuses the associative law with the distributive law; cf. (1) with this latter
|Title||associativity of multiplication|
|Date of creation||2013-03-22 15:09:22|
|Last modified on||2013-03-22 15:09:22|
|Last modified by||pahio (2872)|