Quote:
Originally Posted by artplumber
I did, that's why I wrote what I did (Please read my post again). One can easily interpret as:
48
2(9+3)
Hence answer 2. Let's be a little less dogmatic guys.
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The problem is that Math is all rules that must be followed, you are not following the rules correctly
48/2(9+3) is the same as 48÷2(9+3) but not the same as 48/(2(9+3))
there are only 2 properties of the real #s that allow you to add a grouping symbol to this expression
1) associative property of
addition which allows 3+4+5 to become 3+(4+5), this only applies when there are only additions involved
2) associative property of
multiplication which allows 3x4x5 to become 3x(4x5) this only applies when there are only multiplications involved
it does not allow 48÷2(9+3) to become 48÷(2(9+3)) because there is a ÷
you can change 48÷2(9+3) to 48 X 1/2 x (9+3) by using the reciprocal equivalence property then you can add the grouping but it would look like this 48/1 x(1/2 x (9+3)/1) or (48/1 x 1/2) x (9+3)/1 multiplying numerator by numerator and denominator by denominator gives 48/1 x (9+3)/1 or (48/2) x (9+3)/1 which in turn gives
24/1 x (12)/1 or (24) x(12) which gives 24 x 12 which is 288
you can follow any rule you want in any order you want but you
must follow the rules, you can't make stuff up and get the correct result all the time.
Pretty hard to do if you weren't paying attention in HS algebra