I’m with the right answer here. / and * have same precedence and if you wanted to treat 2(2+2) as a single unit, you should have written it like (2*(2+2)).
It’s pretty common even in academic literature to treat implied multiplication as having higher precedence than explicit multiplication/division. Otherwise an expression like 1 / 2n would have to be interpreted as (1 / 2) * n rather than the more natural 1 / (2 * n).
A lot of this bullshit can be avoided with better notation systems, but calculators tend to be limited in what you can write, so meh. Unless you want to mislead people for the memes, just put parentheses around things.
That’s fair. Personally, I just have a grudge against math notation in general. Makes my programmer brain hurt when there’s no consistency and a lot of implicit rules.
Then again, I also like Lisp so I’m not exactly without sin.
As a musician, can I just say: I would give my right nut for a musical notation system that is as clearly defined as mathematical notation. The worst part is that everyone that attempts to fix musical notation, just creates a new standard of notation.
I know what video you linked even without clicking lol. Yeah, I can agree there.
Although my only experience with music was “try to learn guitar, get distracted because ADHD”.
I started with piano, technically, but I was 3-4 years old, and don’t remember any of it. I can sit a piano and make it sound good, but I can’t play sheet music on it. I switched to violin in second grade, and then just learned how to play everything except for rhythm guitar, and piano. Chords mess with my fingers. Strangely enough my ADHD allowed me to super focus, but I never got the hang of sight reading, so I mostly play by ear, but no one can tell.
I can even play a didgeridoo, and that required me to learn circular breathing.
The problem is whether or not that rule is taught depends on when and where you learned it. Schools only started teaching that rule relatively recently, and even then, not universally. Which of course makes for ideal engagement bait on your hellsite of choice.
the “controversy” over it isn’t recent either - we can see Lennes complaining about it more than 100 years ago! The more things change the more they stay the same (sigh).
I’m with the right answer here. / and * have same precedence and if you wanted to treat
2(2+2)as a single unit, you should have written it like(2*(2+2)).It’s pretty common even in academic literature to treat implied multiplication as having higher precedence than explicit multiplication/division. Otherwise an expression like 1 / 2n would have to be interpreted as (1 / 2) * n rather than the more natural 1 / (2 * n).
A lot of this bullshit can be avoided with better notation systems, but calculators tend to be limited in what you can write, so meh. Unless you want to mislead people for the memes, just put parentheses around things.
That’s fair. Personally, I just have a grudge against math notation in general. Makes my programmer brain hurt when there’s no consistency and a lot of implicit rules.
Then again, I also like Lisp so I’m not exactly without sin.
As a musician, can I just say: I would give my right nut for a musical notation system that is as clearly defined as mathematical notation. The worst part is that everyone that attempts to fix musical notation, just creates a new standard of notation.
https://m.youtube.com/watch?v=Eq3bUFgEcb4
I know what video you linked even without clicking lol. Yeah, I can agree there. Although my only experience with music was “try to learn guitar, get distracted because ADHD”.
I started with piano, technically, but I was 3-4 years old, and don’t remember any of it. I can sit a piano and make it sound good, but I can’t play sheet music on it. I switched to violin in second grade, and then just learned how to play everything except for rhythm guitar, and piano. Chords mess with my fingers. Strangely enough my ADHD allowed me to super focus, but I never got the hang of sight reading, so I mostly play by ear, but no one can tell.
I can even play a didgeridoo, and that required me to learn circular breathing.
That’s impressive!
My ADHD just makes me lose time. Blink and the day is just gone.
All the order of operations rules of Maths are explicit
The problem is whether or not that rule is taught depends on when and where you learned it. Schools only started teaching that rule relatively recently, and even then, not universally. Which of course makes for ideal engagement bait on your hellsite of choice.
Recently? The order of operations rules have been taught for more than a century (we can see them in Lennes’ letter).
Order of operations in general, yes. Implied multiplication coming before explicit multiplication/division is what’s recent.
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Apparently not.
Yes, it is a Term subject to The Distributive Law, written just the way it is.