I’ve read everything you’ve posted, but the problem is you’re interpreting the texts in such a way that they support your flawed argument, conveniently ignoring what they’re actually saying, such as “if” statements.
Even this textbook that you yourself posted goes against what you’re saying if you just bother to look at it outside of your tunnel vision:
You’ve read every textbook, and looked at the calculator answer? Yeah nah, you clearly haven’t.
you’re interpreting the texts in such a way that they support your flawed argument
Says person who can’t come up with any textbooks that support their argument. 😂 BTW if you had looked at the calculator, you would’ve seen it does it exactly as I have described - 6/2(1+2)=6/2(3)=6/(2x3)=6/6=1, not, you know, 6/2(1+2)=3(3)=9, which is your flawed argument
conveniently ignoring what they’re actually saying, such as “if” statements
Says person ignoring this “if” statement which says you literally must distribute if you want to remove the brackets.
Even this textbook that you yourself posted goes against what you’re saying
No it doesn’t! 😂
Notice something?
Yes, you ignored the Distribution in the last step 😂 I have no idea what you think is significant about the first 2 steps, other than you were trying to draw attention away from the Distribution in the last step
Here’s another one (different authors) that does the same thing, which you would’ve seen if you had actually read all the textbooks I posted, but they explicitly spell out what they’re doing as they’re doing it…
Yep I have looked at all you’ve posted, I say you’re wrong because what you’ve posted says things that are true, but you’re reading them wrong. For example your last image clearly says a number next to a bracket means the content of the bracket must be multiplied with said number. Nowhere there does anybody speak of distribution taking precedence over other operations. In fact, nowhere in all sources I can find does it say so. Wonder why all screenshots you post use convoluted wording and wonder why you pop up everywhere arguing the same thing and keep getting downvoted? At some point you need to understand that if one old-ass calculator and selective reading of cherry picked passages is all the proof you have, when all modern calculators and algebra solvers go against you, maybe it’s time to reconsider.
Juxtaposition taking precedence over other multiplications I can understand and it’s an arguable point. Distribution being a mandatory step and taking precedence over even exponents is just silly and unfortunately wrong.
Also another thing: you’re a math teacher as you’ve said, and consistently ask if I think “random programmers” know more about algebra than you. What I say to that is I’ve met plenty of teachers who are wrong about things in their own fields, for one. And also, people defining the rules of all those algebra solvers aren’t the programmers, as you’d know if you looked a bit into product development. It’s domain experts, who also define tests and receive feedback on the software’s performance and errors. I’m sure (lol) you’ve sent feedback to them, and they probably looked at it and decided you’re wrong. As well all have.
says the person who is actually reading them wrong, who is unable to cite any example of me reading it wrong
clearly says a number next to a bracket means the content of the bracket must be multiplied with said number
the content of the bracket - you just quoted that yourself and still completely missed what that means 😂
Nowhere there does anybody speak of distribution taking precedence over other operations
BRACKETS has precedence over everything 😂 So here we have an example of you reading it wrong
nowhere in all sources I can find does it say so
And can you find any source which says Multiplication takes precedence over Brackets? No. Another example of you reading it wrong
Wonder why all screenshots you post use convoluted wording
They don’t use “convoluted wording”! 🤣
“the contents OF THE BRACKETS should be multiplied”
“everything IN THE BRACKET should be multiplied by that number”
Yet another example of you reading it wrong 😂
wonder why you pop up everywhere arguing the same thing and keep getting downvoted?
The only person downvoting me is the person replying, whereas the others are getting downvoted by others as well 🙄
At some point you need to understand that if one old-ass calculator
My brand new Casio calculator gives the same answer! 😂 They all do now, except for Texas Instruments - the only one stubbornly still doing it wrongly
selective reading of cherry picked passages
Sure, I’m “cherry picking” the sections of textbooks about Distribution. Do you want me to post something random about a different topic? 😂 BTW, noted that you haven’t come up with any textbooks that agree with you
all the proof you have
And it is indeed proof.
when all modern calculators
Agree with me (except for Texas Instruments)
algebra solvers
Written by programmers who have forgotten the rules of Maths, and as pointed out by many people in forums.
maybe it’s time to reconsider
And yet, here you are not reconsidering 🙄
Juxtaposition taking precedence over other multiplications I can understand
Because BRACKETS - ab=(axb) BY DEFINITION 😂
it’s an arguable point
And is also the exact same rule 🙄
Distribution being a mandatory step
There’s a reason it’s called The Distributive Law
taking precedence over even exponents is just silly
BRACKETS taking precedence over Exponents is “silly”?? 🤣🤣🤣
and unfortunately wrong
BRACKETS taking precedence over Exponents is “unfortunately wrong”?? 🤣🤣🤣
What I say to that is I’ve met plenty of teachers who are wrong about things in their own fields,
You think they’re wrong you mean, person who is saying Brackets before Exponents is “wrong” 🤣🤣🤣
people defining the rules of all those algebra solvers aren’t the programmers,
Yes they are! That’s why they give wrong answers 😂 I told one he was wrong and he went and fixed it, being the one who had programmed it that way 🙄
as you’d know if you looked a bit into product development.
I know they are because I have spoken directly to them 😂 Maybe try asking some yourself, before making completely wrong statements
It’s domain experts
No it isn’t, as proven by personal experience. You know who uses domain experts? calculator manufacturers. 😂 They have considerably more riding on it being right or not.
who also define tests and receive feedback on the software’s performance and errors
You know there’s a whole bunch of programmers who don’t bother even defining tests to begin with, right??
I’m sure (lol) you’ve sent feedback to them
Yep!
they probably looked at it and decided you’re wrong
Except for the ones who did change it. The ones who claimed I was wrong, quoted Google - who have also been told they’re wrong by many people -and not Maths textbooks 🙄
As well all have.
says person who did nothing of the sort, and lied about such things as "all modern calculators " being against me (they aren’t, if you had actually tried some), Exponents having precedence over Brackets, etc.
Please post a source that gives a different answer to this expression, I’ll wait.
There’s of course programmers that implement their own projects, but for big monetized products that’s no longer the case. I’m in the software industry myself and have worked extensively in product development.
Sure bro you have multiple downvotes in many posts, I’m sure it’s the person you’re arguing with logging in with multiple accounts lol.
Yep, that’s an old Casio model, Mr. “All modern calculators”, proving yet again that you can’t back up your own statements 😂
Please post a source that gives a different answer to this expression, I’ll wait.
No need to wait - just scroll back through this thread and look at all the sources I already posted 🙄
for big monetized products that’s no longer the case
You know none of the calculators you’re referring to are commercial right? They’re all free to use, and that tells you how much effort was put into them. The only e-calc I’ve ever seen give a correct answer is MathGPT, which is indeed commercial now (I tried it before it went commercial), so we have a commercial e-calc giving the correct answer, and all the free ones giving the wrong answer 😂
I’m in the software industry myself
So am I in case you didn’t notice 😂
you have multiple downvotes in many posts
I’ve never seen more than 2 on any, Mr. Needs To Exaggerate Because Has No Actual Evidence Of Being Right 😂
You realize a calculator doesn’t need to be a dedicated hardware, right? Windows calculator, MacOS calculator, Android calculator, and all web-based calculators count as well.
You have no clue what you’re talking about. Wolfram Alpha is a commercial product (with a free-tier as is usual nowadays) and uses the same engine as Mathematica, which is used extensively in industry, academic institutions, and government agencies.
None of your sources has exponents in them, and that’s very convenient for your mistake of mixing up juxtaposition and your invented rule.
Btw, ask yourself this as well: why would your invented interpretation of distributive law be necessary at all? It brings no benefit to the table at all. Juxtaposition arguably does, because it allows shorter notation, but your invention doesn’t.
Please find a calculator that gives a result different to 128 for the expression 2(3+5)². You won’t be able to, because it’s the only correct answer. If you don’t post a reproducible example of a solver anywhere coming to a different solution, I’ll consider your argument defeated and ignore further engagement from your part. Have a nice day!
In other words, you’re admitting to trying to deflect from what’s in Maths textbooks! 😂
that’s very convenient for your mistake of mixing up juxtaposition and your invented rule
It’s the same rule, duh! Here it is in a textbook from more than 100 years ago when everything was still in brackets…
We’ve since then dropped the brackets from Factors which are a single Term. i.e. (a)(b+c) is now a(b+c), and (a)(b) is now ab. BTW would you like to explain how “my invented rule” appears in a textbook from more than 100 years ago? 🤣
Btw, ask yourself this as well: why would your invented interpretation of distributive law be necessary at all?
It’s not invented, it’s required as the reverse rule to Factorising, duh 😂 And I don’t need to ask myself - as usual, all you have to do is look in Maths textbooks for the reason 😂
It brings no benefit to the table at all.
Being able to reverse the process of Factorising brings no benefit to the table?? 🤣
Juxtaposition arguably does
It’s the same thing duh 🤣 ab=(a)(b), a(b+c)=(a)(b+c) notice how they are the same thing, expanding BRACKETS?? 🤣
Maybe you’ve forgotten about FOIL…
Now, think carefully about this, what happens when b=0, and what happens when d=0, you got it yet?? 🤣
because it allows shorter notation
AKA Factorised Terms and Products 😂
your invention doesn’t.
Again, explain how “my invention” appears in textbooks that are more than 100 years old. I’ll wait 🤣
because it’s the only correct answer
Have you noticed yet that everything you think is correct is actually wrong as per Maths textbooks?? 🤣
I’ll consider your argument defeated
says person who has been comprehensively defeated by Maths textbooks and is now trying to deflect away from that 🤣
ignore further engagement from your part
I’ll take that as an admission that you’re wrong then, having been unable to debunk any Maths textbooks. See ya
I’ve read everything you’ve posted, but the problem is you’re interpreting the texts in such a way that they support your flawed argument, conveniently ignoring what they’re actually saying, such as “if” statements.
Even this textbook that you yourself posted goes against what you’re saying if you just bother to look at it outside of your tunnel vision:
Notice something?
You’ve read every textbook, and looked at the calculator answer? Yeah nah, you clearly haven’t.
Says person who can’t come up with any textbooks that support their argument. 😂 BTW if you had looked at the calculator, you would’ve seen it does it exactly as I have described - 6/2(1+2)=6/2(3)=6/(2x3)=6/6=1, not, you know, 6/2(1+2)=3(3)=9, which is your flawed argument
Says person ignoring this “if” statement which says you literally must distribute if you want to remove the brackets.
No it doesn’t! 😂
Yes, you ignored the Distribution in the last step 😂 I have no idea what you think is significant about the first 2 steps, other than you were trying to draw attention away from the Distribution in the last step
Here’s another one (different authors) that does the same thing, which you would’ve seen if you had actually read all the textbooks I posted, but they explicitly spell out what they’re doing as they’re doing it…
Yep I have looked at all you’ve posted, I say you’re wrong because what you’ve posted says things that are true, but you’re reading them wrong. For example your last image clearly says a number next to a bracket means the content of the bracket must be multiplied with said number. Nowhere there does anybody speak of distribution taking precedence over other operations. In fact, nowhere in all sources I can find does it say so. Wonder why all screenshots you post use convoluted wording and wonder why you pop up everywhere arguing the same thing and keep getting downvoted? At some point you need to understand that if one old-ass calculator and selective reading of cherry picked passages is all the proof you have, when all modern calculators and algebra solvers go against you, maybe it’s time to reconsider.
Juxtaposition taking precedence over other multiplications I can understand and it’s an arguable point. Distribution being a mandatory step and taking precedence over even exponents is just silly and unfortunately wrong.
Also another thing: you’re a math teacher as you’ve said, and consistently ask if I think “random programmers” know more about algebra than you. What I say to that is I’ve met plenty of teachers who are wrong about things in their own fields, for one. And also, people defining the rules of all those algebra solvers aren’t the programmers, as you’d know if you looked a bit into product development. It’s domain experts, who also define tests and receive feedback on the software’s performance and errors. I’m sure (lol) you’ve sent feedback to them, and they probably looked at it and decided you’re wrong. As well all have.
says the person who is actually reading them wrong, who is unable to cite any example of me reading it wrong
the content of the bracket - you just quoted that yourself and still completely missed what that means 😂
BRACKETS has precedence over everything 😂 So here we have an example of you reading it wrong
And can you find any source which says Multiplication takes precedence over Brackets? No. Another example of you reading it wrong
They don’t use “convoluted wording”! 🤣
“the contents OF THE BRACKETS should be multiplied”
“everything IN THE BRACKET should be multiplied by that number”
Yet another example of you reading it wrong 😂
The only person downvoting me is the person replying, whereas the others are getting downvoted by others as well 🙄
My brand new Casio calculator gives the same answer! 😂 They all do now, except for Texas Instruments - the only one stubbornly still doing it wrongly
Sure, I’m “cherry picking” the sections of textbooks about Distribution. Do you want me to post something random about a different topic? 😂 BTW, noted that you haven’t come up with any textbooks that agree with you
And it is indeed proof.
Agree with me (except for Texas Instruments)
Written by programmers who have forgotten the rules of Maths, and as pointed out by many people in forums.
And yet, here you are not reconsidering 🙄
Because BRACKETS - ab=(axb) BY DEFINITION 😂
And is also the exact same rule 🙄
There’s a reason it’s called The Distributive Law
BRACKETS taking precedence over Exponents is “silly”?? 🤣🤣🤣
BRACKETS taking precedence over Exponents is “unfortunately wrong”?? 🤣🤣🤣
You think they’re wrong you mean, person who is saying Brackets before Exponents is “wrong” 🤣🤣🤣
Yes they are! That’s why they give wrong answers 😂 I told one he was wrong and he went and fixed it, being the one who had programmed it that way 🙄
I know they are because I have spoken directly to them 😂 Maybe try asking some yourself, before making completely wrong statements
No it isn’t, as proven by personal experience. You know who uses domain experts? calculator manufacturers. 😂 They have considerably more riding on it being right or not.
You know there’s a whole bunch of programmers who don’t bother even defining tests to begin with, right??
Yep!
Except for the ones who did change it. The ones who claimed I was wrong, quoted Google - who have also been told they’re wrong by many people -and not Maths textbooks 🙄
says person who did nothing of the sort, and lied about such things as "all modern calculators " being against me (they aren’t, if you had actually tried some), Exponents having precedence over Brackets, etc.
Here you go:
Please post a source that gives a different answer to this expression, I’ll wait.
There’s of course programmers that implement their own projects, but for big monetized products that’s no longer the case. I’m in the software industry myself and have worked extensively in product development.
Sure bro you have multiple downvotes in many posts, I’m sure it’s the person you’re arguing with logging in with multiple accounts lol.
Yep, that’s an old Casio model, Mr. “All modern calculators”, proving yet again that you can’t back up your own statements 😂
No need to wait - just scroll back through this thread and look at all the sources I already posted 🙄
You know none of the calculators you’re referring to are commercial right? They’re all free to use, and that tells you how much effort was put into them. The only e-calc I’ve ever seen give a correct answer is MathGPT, which is indeed commercial now (I tried it before it went commercial), so we have a commercial e-calc giving the correct answer, and all the free ones giving the wrong answer 😂
So am I in case you didn’t notice 😂
I’ve never seen more than 2 on any, Mr. Needs To Exaggerate Because Has No Actual Evidence Of Being Right 😂
You realize a calculator doesn’t need to be a dedicated hardware, right? Windows calculator, MacOS calculator, Android calculator, and all web-based calculators count as well.
You have no clue what you’re talking about. Wolfram Alpha is a commercial product (with a free-tier as is usual nowadays) and uses the same engine as Mathematica, which is used extensively in industry, academic institutions, and government agencies.
None of your sources has exponents in them, and that’s very convenient for your mistake of mixing up juxtaposition and your invented rule.
Btw, ask yourself this as well: why would your invented interpretation of distributive law be necessary at all? It brings no benefit to the table at all. Juxtaposition arguably does, because it allows shorter notation, but your invention doesn’t.
Please find a calculator that gives a result different to 128 for the expression
2(3+5)². You won’t be able to, because it’s the only correct answer. If you don’t post a reproducible example of a solver anywhere coming to a different solution, I’ll consider your argument defeated and ignore further engagement from your part. Have a nice day!You realise the calculator manufacturers have much more riding on their calculators being correct, right? 😂
Nope. Programmed by… programmers, who aren’t earning any money from the calculator, and put the corresponding amount of effort into it.
says someone who just claimed that e-calcs count as much as actual, buy from a store, calculators 🤣
Also well known to give wrong answers
Nope! Academia warns against using it
In other words, you’re admitting to trying to deflect from what’s in Maths textbooks! 😂
It’s the same rule, duh! Here it is in a textbook from more than 100 years ago when everything was still in brackets…
We’ve since then dropped the brackets from Factors which are a single Term. i.e. (a)(b+c) is now a(b+c), and (a)(b) is now ab. BTW would you like to explain how “my invented rule” appears in a textbook from more than 100 years ago? 🤣
It’s not invented, it’s required as the reverse rule to Factorising, duh 😂 And I don’t need to ask myself - as usual, all you have to do is look in Maths textbooks for the reason 😂
Being able to reverse the process of Factorising brings no benefit to the table?? 🤣
It’s the same thing duh 🤣 ab=(a)(b), a(b+c)=(a)(b+c) notice how they are the same thing, expanding BRACKETS?? 🤣
Maybe you’ve forgotten about FOIL…
Now, think carefully about this, what happens when b=0, and what happens when d=0, you got it yet?? 🤣
AKA Factorised Terms and Products 😂
Again, explain how “my invention” appears in textbooks that are more than 100 years old. I’ll wait 🤣
Have you noticed yet that everything you think is correct is actually wrong as per Maths textbooks?? 🤣
says person who has been comprehensively defeated by Maths textbooks and is now trying to deflect away from that 🤣
I’ll take that as an admission that you’re wrong then, having been unable to debunk any Maths textbooks. See ya
Please find a calculator that gives a result different to 128 for the expression
2(3+5)². Should be easy, no?