Comment on SBA #119 maths
GeorgimusPrime@lemmy.world 4 months ago
BODMAS
Let me just, ahem
1-2+3/(3+3)2+36/3 = 1-2+3/(3+3)2+16 = 1-2+3/(3+3)*2+6 = 7-2+3/(3+3)*2 = 7-2+3/(6+6) = 7-2+(1/2+1/2) = 5+(1/2+1/2) = 5+1=6
Mmm, yes, DMAMDSBA :P
Let’s just say BODMAS/PEMDAS isn’t all be-all end-all. They’re good, but there’s also better
Idk what basic number properties are, but isn’t GEMS the new best/simple standard?
Not really.
Math, at it’s basis, doesn’t have an order of operation, as I’ve illustrated in my previous comment by breaking the left-to-right rule, doing addition before multiplication and ignoring brackets until the very end.
It only exists as a method of teaching students because it works.
Instead, mathematicians have derived the basic properties that are supposed to be taught to students later on and is pretty much the first thing you learn in mathematical analysis in uni.
Those are:
Sometimes, you can also encounter the property of “inversion,” but it’s a derivative of “identity”: a+(-a)=0 | a×(1/a)=1
This is what math is. Every equation is solved using those properties. Every theorem can be broken down into those actions.
This is why in GEMA, BODMAS, etc, you have multiplication and division before addition and subtraction. Because (a×b)+c=a×(b+c) isn’t a property that exists. Try it. They won’t always be equal.
And those properties are also the reason why you don’t have to abide by an order of operations. Commutative and associative properties directly contradict them without making the solutions incorrect.
My uni math was more extensive than expected(read ‘practically useless’ but also occasionally fun) and no two math profs simplify in any relatively similar style whatsoever(This was beyond a headache before wolframAlpha). My personal experiences demand I still strongly lean toward any universally agreed upon convention. Don’t you think with how opinionated and picky mathematicians are, it’s still better to keep to a language everyone can participate in? It just seems almost conflicting with the spirit of math to not somewhat favor a most direct base or foundation if only for convenience. I suppose you could argue we DO have wolframAlpha, so who cares, and I guess I just feel it’s important that math stay teachable via human to human interaction and so any of the Acronyms seem much more helpful than not
ne0n@lemmy.world 4 months ago
I can’t tell if this is trolling or not, but O = Orders lol
CetaceanNeeded@lemmy.world 4 months ago
You’re right but when I was taught this in grade four we were taught Of, I guess Orders was probably a bit above 10 year Olds.