Select as Best AnswerUndo Best Answer
First definition option ....... a/(b/b) = a/1 = a Second ..... (a/b)/b = (a ×1/b) × 1/b = a × (1/b × 1/b) = a × (1/ (b × b)) = a × (1/b^2 ) = a/b^2
But your "first definition option" is incorrect, according to standard arithmetic convention. Without parentheses, the two division operators have the same precedence, and therefore should be applied from left to right.
Ill pass that on to the HS instructor when I too pass. In the meantime I agree most math operators do work left to right. I say most because I have not seen all. Another instructor taught me ; when there is a chance of misinterpretation use parenthesis to be clear ! Are we teaching yet ? ;-)
I definitely agree with that latter recommendation, and this case from the student is an excellent example.Normally, with proper mathematical notation, the double division would be written with a horizontal bar, and both 'b's would appear below that bar, making the parentheses (now surrounding the product b*b) implicit.