• marcos@lemmy.world
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      1 month ago

      Some people insist there’s no “correct” order for the basic arithmetic operations. And worse, some people insist the correct order is parenthesis first, then left to right.

      Both of those sets of people are wrong.

      • MotoAsh@piefed.social
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        1 month ago

        Hopefully you can see where their confusion might come from, though. PEMDAS is more P-E-MD-AS. If you have a bunch of unparenthesized addition and subtraction, left to right is correct. A lot of like, firstgrader math problems are just basic problems that are usually left to right (but should have some extras to highlight PEMDAS somewhere I’d hope).

        So they’re mostly telling you they only remember as much math as a small child that barely passed math exercizes.

        • DefederateLemmyMl@feddit.nl
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          1 month ago

          If you have a bunch of unparenthesized addition and subtraction, left to right is correct

          If you have a bunch of unparenthesized addition and subtraction, left to right doesn’t matter.

          1 + 2 + 3 = 3 + 2 + 1

          • MotoAsh@piefed.social
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            1 month ago

            True, but as with many things, something has to be the rule for processing it. For many teachers as I’ve heard, order of appearance is ‘the rule’ when commutative properties apply. … at least until algebra demands simplification, but that’s a different topic.

          • KubeRoot@discuss.tchncs.de
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            1 month ago

            If you have a bunch of unparenthesized addition and subtraction, left to right doesn’t matter.

            Right, because 1-2-3=3-2-1.

              • KubeRoot@discuss.tchncs.de
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                1 month ago

                I did not flip any signs, merely reversed the order in which the operations are written out. If you read the right side from right to left, it has the same meaning as the left side from left to right.

                Hell, the convention that the sign is on the left is also just a convention, as is the idea that the smallest digit is on the right (which should be a familiar issue to programmers, if you look up big endian vs little endian)

                • howrar@lemmy.ca
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                  27 days ago

                  If that’s your idea of reversing the order, then you’re not talking about the same thing as SpaceCadet@feddit.nl. They’re talking about the order of operations and the associativity/commutativity property. You’re talking about the order of the symbols.

                • I did not flip any signs

                  Yes you did! 😂

                  merely reversed the order in which the operations are written out

                  No, merely reversing the order gives -3-2+1 - you changed the signs on the 1 and 3.

                  If you read the right side from right to left, it

                  Starts with -3, which you changed to +3

                  it has the same meaning as the left side from left to right

                  when you don’t change any of the signs it does 😂

                  Hell, the convention that the sign is on the left is also just a convention

                  Nope, it’s a rule of Maths, Left Associativity.

      • Petter1@discuss.tchncs.de
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        30 days ago

        Well, this is just a writing standard that is globally agreed on,

        The writing rules are defined by humans not by natural force
        (That one thing and another thing are two things, is a rule from nature, as comparison)

        • mindbleach@sh.itjust.works
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          18 days ago

          Save yourself the trouble - Smartman Apps is a crank. They categorically will not comprehend the difference between the notation we made up and how numbers work. Dingus keeps saying ‘animals can count’ like that proves parentheses-first is completely different! from distribution.

          Why’d Russel and Whitehead bother with the Principia Mathematica when they could just point to Clever Hans?

        • this is just a writing standard that is globally agreed on

          No, it’s a universal rule of Maths

          The writing rules are defined by humans not by natural force

          Maths is for describing natural forces, and is subject to those laws

          That one thing and another thing are two things, is a rule from nature

          Yep, there are even some animals who understand that, and all of Maths is based upon it.

      • Some people insist there’s no “correct” order for the basic arithmetic operations.

        And those people are wrong

        And worse, some people insist the correct order is parenthesis first, then left to right

        As per Maths textbooks

        Both of those sets of people are wrong

        All Maths textbooks are wrong?? 😂

      • SkyeStarfall@lemmy.blahaj.zone
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        1 month ago

        I mean, arithmetic order is just convention, not a mathematical truth. But that convention works in the way we know, yes, because that’s what’s… well… convention

        • I mean, arithmetic order is just convention

          Nope, rules arising from the definition of the operators in the first place.

          not a mathematical truth

          It most certainly is a mathematical truth!

          But that convention works in the way we know, yes, because that’s what’s… well… convention

          The mnemonics are conventions, the rules are rules

          • SkyeStarfall@lemmy.blahaj.zone
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            17 days ago

            The rules are socially agreed upon. They are not a mathematical truth. There is nothing about the order of multiple different operators in the definition of the operators themselves. An operator is simply just a function or mapping, and you can order those however you like. All that matters is just what calculation it is that you’re after

            • The rules are socially agreed upon

              Nope! Universal laws.

              They are not a mathematical truth.

              Yes they are! 😂

              There is nothing about the order of multiple different operators in the definition of the operators themselves

              That’s exactly where it is. 2x3 is defined as 2+2+2, therefore if you don’t do Multiplication before Addition you get wrong answers

              you can order those however you like.

              No you can’t! 😂 2+3x4=5x4=20, Oops! WRONG ANSWER 😂

              All that matters is just what calculation it is that you’re after

              And if you want the right answer then you have to obey the order of operations rules

              • SkyeStarfall@lemmy.blahaj.zone
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                17 days ago

                That’s a very simplistic view of maths. It’s convention https://en.wikipedia.org/wiki/Order_of_operations

                Just because a definition of an operator contains another operator, does not require that operator to take precedence. As you pointed out, 2+3*4 could just as well be calculated to 5*4 and thus 20. There’s no mathematical contradiction there. Nothing broke. You just get a different answer. This is all perfectly in line with how maths work.

                You can think of operators as functions, in that case, you could rewrite 2+3*4 as add(2, mult(3, 4)), for typical convention. But it could just as well be mult(add(2, 3), 4), where addition takes precedence. Or, similarly, for 2*3+4, as add(mult(2, 3), 4) for typical convention, or mult(2, add(3, 4)), where addition takes precedence. And I hope you see how, in here, everything seems to work just fine, it just depends on how you rearrange things. This sort of functional breakdown of operators is much closer to mathematical reality, and our operators is just convention, to make it easier to read.

                Something in between would be requiring parentheses around every operator, to enforce order. Such as (2+(3*4)) or ((2+3)*4)

                • That’s a very simplistic view of maths

                  The Distributive Law and Arithmetic is very simple.

                  It’s convention

                  Nope, a literal Law. See screenshot

                  https://en.wikipedia.org/wiki/Order_of_operations

                  Isn’t a Maths textbook, and has many mistakes in it

                  Just because a definition of an operator contains another operator, does not require that operator to take precedence

                  Yes it does 😂

                  2+3x4=2+3+3+3+3=14 by definition of Multiplication

                  2+3x4=5x4=20 Oops! WRONG ANSWER 😂

                  As you pointed out, 2+34 could just as well be calculated to 54 and thus 20

                  No, I pointed out that it can’t be calculated like that, you get a wrong answer, and you get a wrong answer because 3x4=3+3+3+3 by definition

                  There’s no mathematical contradiction there

                  Just a wrong answer and a right one. If I have 1 2 litre bottle of milk, and 4 3 litre bottles of milk, even young kids know how to count up how many litres I have. Go ahead and ask them what the correct answer is 🙄

                  Nothing broke

                  You got a wrong answer when you broke the rules of Maths. Spoiler alert: I don’t have 20 litres of milk

                  You just get a different answer

                  A provably wrong answer 😂

                  This is all perfectly in line with how maths work

                  2+3x4=20 is not in line with how Maths works. 2+3+3+3+3 does not equal 20 😂

                  add(2, mult(3, 4)), for typical

                  rule

                  But it could just as well be mult(add(2, 3), 4), where addition takes precedence

                  And it gives you a wrong answer 🙄 I still don’t have 20 litres of milk

                  And I hope you see how, in here, everything seems to work just fine

                  No, I see quite clearly that I have 14 litres of milk, not 20 litres of milk. Even a young kid can count up and tell you that

                  it just depends on how you rearrange things

                  Correctly or not

                  our operators is just convention

                  The notation is, the rules aren’t

                  Something in between would be requiring parentheses around every operator, to enforce order

                  No it wouldn’t. You know we’ve only been using brackets in Maths for 300 years, right? Order of operations is much older than that

                  Such as (2+(3*4))

                  Which is exactly how they did it before we started using Brackets in Maths 😂 2+3x4=2+3+3+3+3=14, not complicated.

        • marcos@lemmy.world
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          1 month ago

          Social conventions are real, well defined things. Some mathematicians like to pretend they aren’t, while using a truckload of them; that’s a hypocritical opinion.

          That’s not to say you can’t change them. But all of basic arithmetic is a social convention, you can redefine the numbers and operations any time you want too.

          • Social conventions are real, well defined things

            So are the laws of nature, that Maths arises from

            Some mathematicians like to pretend they aren’t, while using a truckload of them; that’s a hypocritical opinion

            No, you making false accusations against Mathematicians is a strawman

            That’s not to say you can’t change them

            You can change the conventions, you cannot change the rules

            But all of basic arithmetic is a social convention

            Nope, law of nature. Even several animals know how to count.

            you can redefine the numbers and operations any time you want too

            And you end up back where you started, since you can’t change the laws of nature

  • MattW03@lemmy.ca
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    1 month ago

    Let’s keep it easy. There’s 2 + all the other number who results in 15 = 17.

    Someone may mistake by doing 2+5 then the rest of the operation, resulting in 21. But is wrong.

    • TigerAce@lemmy.dbzer0.com
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      1 month ago

      In the rest of the world: yes.

      In the US: I highly doubt it.

      This is just basic math, if you can’t figure this out you’re probably 8 years old.

        • TigerAce@lemmy.dbzer0.com
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          1 month ago

          Fix? It’s a duster fire. It may be hard to deal with, but a total collapse and completely rebuilding it feels like the better solution to the problem (so not based on a constitution made in completely different times with muskets and without internet etc).

          So you were taught math. What languages did you learn besides English? What history did you learn, just US or also of other countries and the rest of the world? And talking about the rest of the world, how much did you learn about that? Countries, cultures, cities, geographic features like mountains, seas, etc. and how they were formed? What religions were taught about? What about history of music and art?

        • banshee@lemmy.world
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          1 month ago

          In all fairness, I grew up in a small town in a very red state, but the education system there proved better than larger, more progressive parts of the state. The education I received was likely an outlier and not representative of the norm, but it did teach me that educators in an area do not necessarily mirror the rest of the population.

        • TigerAce@lemmy.dbzer0.com
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          17 days ago

          Yeah, but even worse, you’re just talking about schools. You forgot about all the kids being home schooled, taught the earth is flat and an imaginary friend created everything in 7 days. Taught by parents who lack proper education themselves.

          Also, it’s kinda obvious the rules of math aren’t different in the US. Even when they use an idiotic measuring system. If people don’t know how to use math properly, the issue clearly is the education and not math itself.

          • Yeah, but even worse, you’re just talking about schools

            I’m talking about anyone at all in the U.S. is allowed to teach Maths without any Maths qualifications

            You forgot about all the kids being home schooled

            That happens in other countries too, and yet it’s the U.S. which has been sliding down the world rankings for more than a decade, the country that doesn’t require Maths teachers to have Maths qualifications.

            Also, it’s kinda obvious the rules of math aren’t different in the US

            That’s right, as proven by U.S. Maths textbooks

            If people don’t know how to use math properly, the issue clearly is the education and not math itself

            Partly right. there’s also people who just outright forgot the rules.

    • BanMe@lemmy.world
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      1 month ago

      It became a meme a few years ago, people would post problems like this and argue about whose was right, as if there were no objective truth. It hurt to watch.

      • KubeRoot@discuss.tchncs.de
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        1 month ago

        Arguably, there is no objective truth, since the symbols and rules of mathematics are assigned arbitrarily, and are basically a social contract, just like language!

        …Wait, that means there’s no objective meaning of “objective”, crap

        • Arguably, there is no objective truth

          Yes there is, just look in Maths textbooks

          since the symbols and rules of mathematics are assigned arbitrarily

          The signs are, the rules aren’t.

          are basically a social contract, just like language!

          Nope and nope. It’s a tool for calculating things, nothing like a language at all.

          no objective meaning of “objective”

          There is, in a dictionary, just like the rules of Maths are in Maths textbooks

      • bountygiver [any]@lemmy.ml
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        1 month ago

        ya this one is super unambiguously PEMDAS, the one that has more of an argument is the one with the division of whether a/b(c) is a / (b * c) or (a / b) * c

    • anamethatisnt@sopuli.xyz
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      1 month ago

      I never ran into PEMDAS while growing up, in Sweden I’ve always been taught of it as the following order of operations:

      1. P
      2. E & Roots
      3. M & D
      4. A & S
          • Alaknár@sopuli.xyz
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            1 month ago

            Division, Multiplication, Addition, and Subtraction

            This is fucking so many people over… It should be limited - like Orders - to only Multiplication and Addition.

            Because division is the same operation as multiplication, and subtraction is the same operation as addition, and they have the same “weight” in the order of operations (meaning, you do them left-to-right).

            • It should be limited - like Orders - to only Multiplication and Addition

              Because you don’t want people to know when to do Division and Subtraction? 😂

              Because division is the same operation as multiplication

              No it isn’t, but they are both binary operators.

              they have the same “weight” in the order of operations (meaning, you do them left-to-right)

              And where are they going to do Division and Subtraction in the left to right if you’ve left them out? 🙄

              • Alaknár@sopuli.xyz
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                18 days ago

                Because you don’t want people to know when to do Division and Subtraction? 😂

                Because division is multiplication, and subtraction is addition.

                No it isn’t, but they are both binary operators.

                2/2 is the same as 2*½

                2-2 is the same as 2+(-2)

                And where are they going to do Division and Subtraction in the left to right if you’ve left them out? 🙄

                Well, as I already said multiple times: Division = Multiplication and Subtraction = Addition, therefore they would be doing them together, left to right. As in: 9-3+2 would not confuse anyone who learned “Addition → Subtraction”, as it does right now.

                • Because division is multiplication

                  No it isn’t.

                  and subtraction is addition

                  And you still have to do both

                  2/2 is the same as 2*½

                  They’re equal in value, they’re not the same

                  2-2 is the same as 2+(-2)

                  You got that the wrong way around. Brackets have only been used in Maths for a few centuries now

                  Well, as I already said multiple times: Division = Multiplication

                  And you were wrong every time you said it.

                  therefore they would be doing them together

                  Not if you left them out of the mnemonic and they didn’t know when to do them

  • Triasha@lemmy.world
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    1 month ago

    Pemdas, parenthesis first, for a total of 3. Then multiplication, 15, then addition. 17. What’s hard about this?

      • TheKingBee@lemmy.world
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        1 month ago

        No, it’s written poorly to drive engagement. People read left to right and try to do math that way too, but if you want to be mean to people who don’t remember things they learned in elementary school then never applied in real life you write it like OP.

        (8-5)5+2

        Far easier for most people, but then you don’t get the arguments…

        • Hawanja@lemmy.world
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          1 month ago

          It’s written the same way literally thousands of math problems in thousands of textbooks have written the same type of math problem for the last 100 years. OP did not write it that way to be “mean.” He wrote it that way because it’s a legit way to write it.

          • TheKingBee@lemmy.world
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            1 month ago

            The operational order is fucked, the way I rewrote is more readable, even if you remember the order. The only reason you’d write the equation like that is to be mean, there’s no reason to write it like that unless you’re trying to trip people up.

            • Hawanja@lemmy.world
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              1 month ago

              You got it wrong on your first try, didn’t you? Lol, it’s not “mean” to write a math problem. The whole point of memorizing the order of operations is so that you can solve it no matter what order the equation is written in. No one wrote this problem on purpose just to make you fail to understand it, that’s dumb.

                • Hawanja@lemmy.world
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                  30 days ago

                  I just fail to see how you come to the conclusion that it was written in a “mean” way. It’s math, there is no “nice” way to write an equation.

        • No, it’s written poorly

          No it isn’t

          drive engagement

          The engagement comes from people not remembering the rules of Maths

          (8-5)5

          That’s an invalid syntax. it’s 5(8-5) or 5x(8-5), nothing else. Why is it invalid? Imagine (8-5)-5 - am I multiplying what’s in the brackets by -5 (which gives -15), or subtracting 5 after doing the brackets (which gives -2)? Invalid syntax

          Far easier for most people

          Nope, it’s wrong for everyone, due to being an invalid syntax.

        • Tyro@lemmy.world
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          1 month ago

          Yes, thank you! Sure, it’d be great if people remembered arithmetic rules, but just write it better and it won’t matter.

    • AquaTofana@lemmy.world
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      1 month ago

      I fucking suck at math and totally just re-proved it to myself with this problem lmao.

      It didn’t make sense to me to multiply the 3 & the 5 with zero consideration for the “2”. I have ALWAYS struggled with the steps to solve these types of equations.

      So the answer I got was 21. Some of us are just bad with numbers, I s’pose.

  • Daftydux@lemmy.dbzer0.com
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    1 month ago

    You have to subtract the numbers with the most flat sides first and divide by the number of pennies in your sock drawer.

    • callouscomic@lemmy.zip
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      1 month ago

      I’ll never understand these approaches to learning. They require remembering the phrase, and then require remembering how the phrase translates to the rules you need to remember.

      I’ll just remember the rules in the first place. Less effort.

      • I’ll never understand these approaches to learning. They require remembering the phrase, and then require remembering how the phrase translates to the rules you need to remember

        Yeah, exactly, but the U.S. seems to have a chip on it’s shoulder about always doing everything differently to the whole rest of the world. “Maths? We’re not going to use BEDMAS, and we’re not going to call them Brackets, and…”.

  • x4740N@lemmy.world
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    1 month ago

    Its because its:

    2+5×(8−5)

    My calculator app automatically added it when typing in what was in the image and “2+5×(8−5)” does equal 17.

    It’s absolutely the fault of the person making the social media media post for not writing it properly and confusing people.

  • Sertou@lemmy.world
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    1 month ago

    Or it simply could be that I haven’t needed to concern myself with the order of operations more than a dozen times since high school. Even when working as a web coder it was so seldom necessary that I can’t recall a single example.

    The US education system was still pretty decent when I was in middle and high school in the 1980s, so we definitely covered this in algebra.

    • titanicx@lemmy.zip
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      1 month ago

      I haven’t had to do this shit in 20 years since college. Literally nothing like this in my career path, I was shit at math in high school and college, so I didn’t even remember that there was a multiplication there since it isn’t explicit. Oh well.