• Bro directly after what you underlined it says “if you want to remove the brackets”

    Yep, that’s right, and removing brackets is the first step in order of operations 😂

    Selective reading much?

    By you apparently.

    “If” means optional

    So… you’re telling me that the “B” step in BEDMAS, and the “P” step in PEMDAS, is optional? I don’t have to remove Brackets?? 😂 Better go back to school dude

    You are free to solve what’s inside the brackets first, before multiplying it with what’s outside

    Yep, but inside the brackets, as per the text you can see in the screenshot 😂

    5(8-5)=(5x8-5x5)=(40-25)=15

    5(8-5)=5(3)=(5x3)=15 <== Multiplication inside the Brackets, as per The Distributive Law

    same answer both ways 😂

    the link I posted is literally titled “distributive law”, not property

    But has a multiply sign in it, thus proving it is the Property that they are talking about - The Distributive Property of Multiplication over Addition to call it by it’s full name

    You realize a law can have conditions, right?

    You realise it literally must be obeyed, right? The condition that The Distributive Law has, is “A number or letter next to a Bracket”, direct quote from the textbook, hence a(b+c)=(ab+ac), and not ax(b+c) since the a is not next to the bracket in that case

        • moriquende@lemmy.world
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          1 day ago

          Exponents come after brackets, so I’m curious to see how you solve that with your logic lol. It has an obvious correct solution, which is 128, but you need to distribute in the brackets step, which comes before exponents, so let’s see what you do with it lmao.

          • Exponents come after brackets

            That’s right

            so I’m curious to see how you solve that with your logic

            Ummm, you do the brackets and then the exponent. Not sure what you find unclear about that

            It has an obvious correct solution

            The one where you do the brackets before the exponent

            which is 128

            Nope! You can only get that by doing the exponent before the brackets, which is against the order of operations rules. Or did you wrongly add a multiply sign before the brackets - that also yields a different answer

            you need to distribute in the brackets step

            That’s right, so why did you do the exponent first?

            which comes before exponents,

            That’s right. So why did you do the exponent first?

            so let’s see what you do with it

            Brackets before exponents, as already established 🙄

            • moriquende@lemmy.world
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              1 day ago

              Ok bro now find an expression solver that verifies your solution. I tried Wolfram Alpha, Google, and others, and they all return 128. So either you’re wrong, or all people who make these tools professionally are wrong. Not trying to be offensive, but I know where I’m putting my money.

              To be clear, the reason you’re wrong is because distribution is not part of the brackets step. Brackets are solved before exponents, resulting in 2(8)². Remove the brackets and then it’s 2*8²

              • I tried Wolfram Alpha, Google, and others, and they all return 128

                Yep, all known to give wrong order of operations answers

                So either you’re wrong

                Well, it’s not me, so…

                all people who make these tools professionally are wrong

                That’s right. Welcome to programmers writing Maths apps without checking that they have their Maths right first. BTW, in some cases it’s as bad as one of their calculators saying 2+3x4=20! 😂

                To be clear, the reason you’re wrong is because distribution is not part of the brackets step

                To be clear, I am correct, because Distribution is part of the Brackets step, as we have already established…

                Brackets are solved before exponents,

                Yes

                resulting in 2(8)²

                No, you haven’t finished solving the Brackets yet, which you must do before proceeding…

                Remove the brackets and then it’s 2*8²

                Nope! We have already established that you cannot remove the brackets if you haven’t Distributed yet

                So what we actually get is…

                2(8)²=(2x8)²=16²

                and now that I have removed the Brackets, I can now do the exponent,

                16²=256

                Welcome to you finding the answer to 2x(3+5)² - where the 2 is separate to the brackets, separated from them by the multiply sign - rather than 2(3+5)², which has no multiply sign, and therefore the 2 must be Distributed

                • moriquende@lemmy.world
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                  22 hours ago

                  Lmao citing yourself and assuming you’re correct and smarter than everyone who programs solvers, even those who are known to be respectable and used extensively in academia. Nothing’s been established cause you’ve cited sources that don’t support your argument, and repeating them again and again won’t make it different. Good day bro, continuing this is useless.

                  • Lmao citing yourself

                    Nope! I cite Maths textbooks here, here, here, here, here, here, here, a calculator here, need I go on? 🙄 There’s plenty more of them

                    assuming you’re correct and smarter than everyone who programs solvers,

                    That’s hilarious that you think random programmers know more about Maths than a Maths professional 😂

                    even those who are known to be respectable and used extensively in academia

                    As I already stated, everyone knows the complete opposite of that about them. It’s hilarious that you’re trying to prop up places that give both right and wrong answers to the exact same expression as somehow being “respectable”. 😂 And you’ll see at the end of that thread - if you decide to read it this time - the poof that academia does not use it (because they know it spits out random answers)

                    Nothing’s been established cause you’ve cited sources that don’t support your argument

                    BWAHAHAHAAH! Like?? 😂

                    repeating them again and again won’t make it different.

                    That’s right, the Maths textbooks are still as correct about it as the first time I cited them.

                    continuing this is useless

                    Well it is when you don’t bother reading the links, which you’ve just proven is the case

                  • Like how the 5 in the first image isn’t?

                    BWAHAHAHAHAHA! And how exactly do you think they got from 5(17) to 85 without distributing?? 🤣 Spoiler alert, this is what they actually did…

                    5(17)=(5x17)=85

                    They do that throughout the book, because they think it’s so trivial to get from 5(17) to 85, that if you don’t know how to do it without writing (5x17) first, then you have deeper problems than just not knowing how to Distribute 😂