I found a few typos. In the 2nd paragraph under the section “strong feelings”, you use “than” when it should be “then”. More importantly, when talking about distributive properties, you say x(x+z)=xy+xz. I believe you meant x(y+z)=xy+xz.
Otherwise, I enjoyed that read. I’m embarrassed to say that I did think pemdas meant multiplication came before division, however I’m proud to say that I’ve unconsciously known that it’s important to avoid the ambiguity by putting parentheses everywhere for example when I make formulas in spreadsheets. Which by the way, spreadsheets generally allow multiplication by juxtaposition.
It’s actually fine to do multiplication before division, you just have to be sure about which numbers are intended to be included in the divisor of your fraction!
Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.
There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.
An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
I haven’t used facebook for years, but I do use twitter a lot to check whats happening in my area. Same for instagram, but I am not using thread at all.
Damn ragebait posts, it’s always the same recycled operation. They could at least spice it up, like the discussion about absolute value. What’s |a|b|c|?
What I gather from this, is that Geogebra is superior for not allowing ambiguous notation to be parsed 👌
Your example with the absolute values is actually linked in the “Even more ambiguous math notations” section.
Geogebra has indeed found a good solution but it only works if you input field supports fractions and a lot of calculators (even CAS like WolframAlpha) don’t support that.
Yeah! That’s why I mentioned it, it was a fresh ambiguous notation problem that I’ve never encountered before. Discussions of “is it 1 or 9” get tiring quickly.
At least WA and others tell you how they interpret the input, instead of being a black box (until you get to the manuals). Even though it is obvious in hindsight, I didn’t get why two calculators would yield different results; thanks!
Honestly, I do disagree that the question is ambiguous. The lack of parenthetical separation is itself a choice that informs order of operations. If the answer was meant to be 9, then the 6/2 would be isolated in parenthesis.
It’s covered in the blog, but this is likely due to a bias towards Strong Juxtaposition rules for parentheses rather than Weak. It’s common for those who learned math into advanced algebra/ beginning Calc and beyond, since that’s the usual method for higher math education. But it isn’t “correct”, it’s one of two standard ways of doing it. The ambiguity in the question is intentional and pervasive.
I don’t know what you want, man. The blog’s goal is to describe the problem and why it comes about and your response is “Following my logic, there is no confusion!” when there clearly is confusion in the wider world here. The blog does a good job of narrowing down why there’s confusion, you’re response doesn’t add anything or refute anything. It’s just… you bragging? I’m not certain what your point is.
None of this has a point. We’re talking over a shitpost rant about common use of math symbols. Even the conclusion boils down to it being a context dependent matter of preference. I’m just disagreeing that the original question as posed should be interpreted with weak juxtaposition.
I originally had the same reasoning but came to the opposite conclusion. Multiplication and division have the same precedence, so I read the operations from left to right unless noted otherwise with parentheses. Thus:
6/2=3
3(1+2)=9
For me to read the whole of 2(1+2) as the denominator in a fraction I would expect it to be isolated in parentheses: 6/(2(1+2)).
Reading the blog post, I understand the ambiguity now, but i’m still fascinated that we had the same criticism (no parentheses implies intent) but had opposite conclusions.
It’s hilarious seeing all the genius commenters who didn’t read the linked article and are repeating all the exact answers and arguments that the article rebuts :)
I’m still not used to having combined image and text posts so I usually don’t notice the text portion if it isn’t a big ol’ wall and I hope I’m not the only one.
❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.
I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
Jesus lotta “motorcycles are a deathtrap” in here.
Hi, I’ve been riding for 10 years on all different kinds of machines through many lengths of commute/fun. allow me to be abrupt motorcycles cost more than a Prius to own. The tires don’t last as long, the maintenance is more frequent, obviously the gear you absolutely should be wearing is expensive but hey if none of that bothers you please continue to enjoy riding.
It’s not very active but there’s a motorcycle community here on lemmy, please join us ;)
Yeah, priuses are really low maintenance for the most part, it’s nice. And motorcycles aren’t necessarily the death traps people are making out here, higher risk yes but if you’re a defensive, aware driver and not a squid it’s really not bad. Motorcycles don’t tend to attract defensive drivers though.
It is really strange seeing that rhetoric here too especially with the “fuck cars” group. A lot of countries other than the US have way more riders and less of the squid culture going on because its more of just the norm over there. Also to compliment your picture heres one of me camping with the bike:
Yes! Its not really an offroad bike by any means but it can take the occasional gravel road to the campsite as well as any bike. The panniers are a god send The CP3 engine is wonderful on the road and betrays the “grandpa bike” stature. It wasn’t my first choice as I was looking to get a Ninja 1000sx or GSXS 1000 GT but im really glad I landed on this.
I actually met someone with a ninja 1000sx and they love that thing. For a while I had a concours 1000 that I adored but that has since turned into an indefinite project bike :(
I rode one and definitely fell in love with it its just none were available anywhere plus all the fairings just get in the way of maintenance 😂 Imo Sport Touring or Adv bikes are the way to go if you want a daily all season rider. They hit this perfect trifecta of Utility, performance, and comfort. Though I really wish I could find something like a Trail Tail that doesn’t cost an arm and a leg to get that last bit of utility
I’ve been on plenty of shiny new full fairing machines and they always remind me of just how easy it is to work on my KLR. I really like that in 15 or so minutes I could probably have the bike down to whatever part I need and probably also fix it without resorting to a shop.
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