I am losing the will to live a bit with this thread.
First, apologies to those who found my style of spoiler alert difficult to follow. I have no trouble selecting the text in posts either on a PC or an Android phone. However, that may be a function of the Chrome browser I am using. In this browser, selecting a light coloured text renders it white on a blue background. Readable by most I would guess. I did try and give a pointer through the instruction "select text to view". However, as requested, I'll avoid it on this board in future.
So onto the substantive issue (with colouring reverted to standard)
Dod101 wrote:I do not see much wrong with my answer or logic. It is the / sign as I said later that is ambiguous and I will concede that either of the answers would be correct depending on how the / is interpreted.
The "answer" at issue is this
Dod101 wrote:...but you could have done 6/2*(2+1) =6/2*3=3/3 =1 in strict accord with the BODMAS rules.
So, basically simplifying the elements of 6/2(2+1), one step at a time. No problems with that. It is done at every level of maths from pre-GCSE to post-PhD.
The step I pointed out in my "spoiler" as being in error is the one that goes from 6/2*3 to 3/3.
There are only two operators in 6/2*3, so all I was saying is that whichever order is used you get either 3*3 or 6/6 as the next step of simplification but never 3/3. Of course a pedant may argue that 3/3 is the same as 6/6, and you do get 6/6 if you don't follow BODMAS. However, 3/3 cannot be obtained from 6/3*2 without inserting an additional step or two, involving dividing numerator and bottom by 2. So spelling it out with brackets (for clarity) in the non-BODMAS case
6/3*2 = 6/(3*2) = (6/2)/((3*2)/2) = 3/((3*2)/2) = 3/(6/2) = 3/3.
Now, maybe that is what Dod101 intended. But only he can confirm this. And even if it is the full story of his logic it is, of course,
not as has been asserted, in strict accordance with the BODMAS rules unless the heroic assumption is made that the "/" symbol is not shorthand for "÷" but instead signifies a divisor line with "6" in the numerator and "3*2" in the denominator. I can appreciate, but disagree with, this interpretation when the "/" symbol is surround by spaces but the expression Dod101 wrote (as the second post in this thread, so well before the arguments about divisor lines were introduced) contains no spaces at all.
I have my own theory of what lead to what I termed a "howler" on Dod101's part, but I'll keep that to myself for now at least.