Whats your such opinion
π‘πππΊππππΊπ π°ππππ± @ SmartmanApps @programming.dev Posts 22Comments 591Joined 2 yr. ago

A computer will convert 2(4) to 2 x 4
Only if that's what the programmer has programmed it to do, which is unfortunately most programmers. The correct conversion is 2(4)=(2x4).
in the 90s that if you had a fancy calculator with parentheses, you could fool it because it didnβt know about implicit association. Your calculator doesnβt know the difference between 2 x (2+2) and 2(2+2), but mathematicians do
Actually it's only in the 90's that some calculators started getting it wrong - prior to that they all gave correct answers.
8Γ·2Γ(2+2)
But that's not the same thing as 8Γ·2(2+2). 2x(2+2) is 2 Terms, 2(2+2) is 1 Term. 8Γ·2Γ(2+2)=16 ((2+2) is in the numerator), 8Γ·2(2+2)=1 (2(2+2) is in the denominator)
8Γ·2(2+2) comes out to 16, not 1
No, it's 1, and only 1. Order of operations thread index
P.S. this is Year 7 Maths, not Year 1.
No, the one saying "you're all wrong" was the first person to say the world is round. Even a minority of one can be correct about something against all popular opinion.
It doesn't make sense in BODMAS either. Expanding Brackets has precedence of... Brackets, not "multiplication" - "Multiplication" refers literally to multiplication signs, of which there are none in this question.
I've taught a class of kids that has various disabilities. Having a disability doesn't make you stupid.
But then you would have to define what a "Group" is as well, adding yet another definition needing to be remembered. Terms are actually defined, and cover the first 2 steps, and then the rest are operators (binary then unary).
You can if you wrote everything as just addition and subtraction, but then we made some shorthand notations for that, such as 2x3=2+2+2, and so now you have to do multiplication before addition otherwise you get a wrong answer, and if you wrote all multiplications before all additions there'd still be no problem, but as someone else pointed out, there are cases where it's easier to have a different order, and so voila! Order of operations rules.
Actually multiplication and division are shorthand notations for addition and subtraction - e.g. 2x3=2+2+2 - so everything boils down to addition and subtraction.
Well thanks to you too for a proper conversation. :-) There's a lot of people here wanting to pull out their pitchforks over the smallest thing.
e.g. you made a comment about teaching the "scientific" method to kids, and I can tell you as a teacher that we already do (but the OP never looked at any Maths textbooks, nor asked any Maths teachers) :-)
Yeah, I thought maybe you meant that, but I wasn't sure, and in any case I wanted to make clear it's totally worthless to use as a source for anything else (for the reasons I mentioned). :-)
That's cool. I'm not sure what you mean about not using it as a source though, because that was also my point! If you want sources for how this should actually be done (and what actually is taught at school), then see my thread - contains actual textbook references (where there's a screenshot of a textbook, the place it's come from is in the top-left of the screenshot), actual historical documents (Lennes and Cajori), worked examples, proofs, etc. You said you believe in "strong juxtaposition", so we're kinda in agreement - I'm just pointing out that the actual rules are Terms and The Distributive Law (i.e. 2 different rules have been lumped together as one under the "strong juxtaposition" banner), neither of which is discussed anywhere in the blog (and when I, and others, have pointed this out, the OP has ignored us and downvoted our comments). I also made 5 fact check posts rebutting the false/misleading claims made in the blog - just sort the comments here by "new" and you'll see them (no prizes for guessing who downvoted them).
In other words, I wasn't saying "don't pay attention to any blog posts" (which I think is what you thought I meant?), I was saying "don't pay attention to this blog post" (for multiple reasons that I've posted in many places in here).
Not sure how you came up with that conclusion. I never said anything about it being "just a blog post".
You said...
I donβt understand how the author of the post lands on βthere is no good or bad way, they are all validβ
And I'm pointing out he arrived at that by ignoring what's taught in high school, which is where it's taught (not in academia). It's like saying "It's ambiguous if there's such a thing as rain" if you present weather evidence which has omitted every single rainy day that has happened. i.e. cherry-picking. Every single blog which says it's ambiguous has done the exact same thing. You can find what actually is taught in high school here
It's what is actually taught in high school, so there are those who remember and those who don't.
You are correct with your definition - Terms are separated by operators and joined by grouping symbols - and it's consequently not ambiguous at all (using so-called "weak juxtaposition" breaks that rule).
enforce writing math without ambiguity
It already is written without ambiguity.
were taught in third grade
This is actually taught in Year 7 - the people who only remember the 3rd Grade version of the rules are the ones getting it wrong.
No, that video is wrong. Not only that, if you check the letter he referenced Lennes' Letter, you'll find it doesn't support his assertion that the rules changed at all! And that's because they didn't change. Moral of the story Always check the references.