It’s 9 if you actually understand PEMDAS
I’m guessing confusion is coming from those taking PEMDAS literally as that order? Rather than PE(M|D)(A|S), like it’s supposed to be?
It’s also convoluted by the notation of the multiplication. When it’s written like this, many assume that you need to resolve that term first since it involves parentheses.
This is how I was taught 30 years ago in highschool
I don’t think I ever used a divide symbol like that beyond elementary school. In practice always use fraction style notation for division because it’s not ambiguous or a gotcha.
I was taught not to write like this so we dont have to deal with this shit 😊
I was taught to do
- Brackets
- Division and multiplication left to right
- Addition and subtraction left to right
There should be a fucking ISO for this shit tbh
Oh christ the math memes are leaking from facebook
my calculator disagrees.
and i would too, this is basically
6÷2(1+2) = 6÷2×(1+2) = 6÷2×3while you resolve brackets first, you still go left to right. you would get 1 if you did
6÷(2×(1+2))
the issue is the missing multiplication sign between the 2 and the brackets, thats why i always write them even if it is not strictly required
CASIO calculators say 1, and I think it’s more intuitive with “÷2π” being equivalent to “÷(2×π)” rather than “÷2×π”. It took me a while to figure out why my results were almost but not quite one order of magnitude wrong after I was forced to switch to TI. Obviously nobody in high school or uni wrote
÷(or Czech:) on paper, it was all fractions, but even on “natural mode” calculators I’d use the÷key for simple denominators to save vertical space.
This is pure braindeath for the 100th time still. We, mathematicians always come up with small abuse of notations to make life easier. No mathematician is like, this is the only way you could go you charlatan. That being said, write equations and formulas in a way that the people you wrote them for (even if yourself) will understand. That’s what matters. If the formula is ambigous for the intended reader, then it is a bad formula or the notations are not presented clearly enough.
BODMAS
- Brackets
- Of
- Division
- Multiplication
- Addition
- Subtraction
I can’t tell if this is trolling or not, but O = Orders lol
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.
Let me just, ahem
1-2+3/(3+3)×2+3×6/3 = 1-2+3/(3+3)×2+1×6 = 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
Ahh, yes, DMAMDSBA :P
Let’s just say BODMAS/PEMDAS isn’t all end-all be-all. They’re good, but there’s also better
For those interested, see: basic number properties
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I guess the joke is that it wasn’t an ambiguous expression in the first place and that pedmas/bedmas wasn’t the issue, or rather using just it here is the problem?
When you have multiplication expressed as numbers joined without a symbol, that takes precedence at the current layer, where layers are created using brackets, fraction symbols, superscript exponents and concatenated multiplies.
I’m not sure this resolves all ambiguity, but it simplifies the rule to just doing multiplication/division before addition/subtraction. It seems simple enough in my mind, so I’d need to see a counter example if it does break down.
Though I hate how mainstream math problems/puzzles always end up being an order of operations problem, which I’d argue isn’t even math but more of a metamath thing. If you’re using math to solve a real problem, the correct order of operations will be determined by logic, not any conventions.
Like if it takes you 5 seconds to get in your car and 12 seconds per km traveled, and 5 seconds to get out of your car, if you multiply the 10 seconds to get in or out by the distance, you’ll have a wrong answer. It’ll always be distance traveled in km times 12 seconds/km plus the 10 seconds, and the math works on the units as well as the numbers to show you did it in a way that makes sense.
