and another which says “first multiply two by three, then add it to two”

No we don't. We have another notation which says to do paired operations (equivalent to being in brackets) first.

why on earth do the “rules” have anything further to say about order of operations?

Because if you don't obey them you get wrong answers 🙄

Yes, 47% of 47 is certainly much easier to determine

And your real life example of a 47% discount on a $47 item is... where exactly?

That is why the narrow application of standards is another obstacle to learning

No it isn't

I was top of my math classes...

Survivorship bias

I’ve seen many of his videos and haven’t noticed any obvious errors.

He makes mistakes every time there's Brackets with a Coefficient. He always does a(b)=axb, instead of a(b)=(axb), hence wrong every time it follows a division.

what you reference to as “1917,”

No, he calls it that, though sometimes he also tries to claim it's an article (it isn't - it was a letter) - he never refers to Lennes by name. He also ignores what it actually says, and in fact disobeys it (the rule proposed by Lennes was to do all multiplication first, and yet he proceeds to do the division first, hence wrong answer, even though he just claimed that 1917 is the current rule).

Here's a thread about Lennes' 1917 letter, including a link to an archived copy of it.

Here's where Presh Talwalker lied about 1917

Here's a thread about The Distributive Law

Here's where Presh Talwalker disobeyed The Distributive Law (one of many times) (he does 2x3 instead of (2x3), hence gets the wrong answer). What he says is the "historical" rule in "some" textbooks, is still the rule and is used in all textbooks, he just never looked in any!

Note that, as far as I can tell, he doesn't even have any Maths qualifications. He keeps saying "I studied Maths at Harvard", and yet I can find no evidence whatsoever of what qualifications he has - I suspect he dropped out, hence why he keeps saying "I studied...". In one video he even claimed his answer was right because Google said so. I'm not kidding! He's a snake oil salesman, making money from spreading disinformation on Youtube - avoid at all cost. There are many freely-available Maths textbooks on the Internet Archive if you want to find proof of the truth (some of which have been quoted in the aforementioned thread).

“simplify” literally means to make the equation easier to understand

Nope. It means to present it in the simplest way possible. e.g. 5/10=1/2.

You are arguing that “expand and simplify” is the exact same thing as “simplify”

No I'm not. I'm saying "expand and simplify" is a thing in all high school Maths textbooks, "factor and simplify" isn't a thing in any of them.

"Sometimes factoring is prudent" - if you're trying to solve an equation, yes, but solving and simplifying aren't the same thing. If I arrive at an answer of 5/10 then I have solved but not simplified. Sometimes it's not even possible to simplify, because the answer is already in the simplest form possible, such as an answer of 1/2. I teach students when to recognise when something can be simplified and when it can't. Your original contention that the Term was already simplified, and it wasn't.

"And thanks for the downvotes." - I downvote anything that is incorrect, just like a student would lose marks for same.

Yes, that's his point. That if you've released your app close to the end of the period, then you're forced to upgrade your app right away, even just to keep getting security patches, on top of any bugs you might already be trying to get on top of with your newly released app. Other systems have a longer support period and you wouldn't be faced with that.

Yes, that's exactly what I'm saying. The decision was made for us by school admins, NOT CS teachers. That's why it was the stupid reason I had to learn Python.

Hmmm, I got around it (eventually), but it wasn't through any of the methods mentioned - don't remember what I did. Very annoying as I hate 11 so much I was actually going to roll back to 10 this week, now I'm worried if I do that then when I eventually have to come back to 11 I'll be stuck with having to use my MS account for it.

Who's on first? :-)

Well, the link doesn’t load for me

Yeah, they're doing an upgrade right now. Yes, it's the Maths explanation - -25 is the correct answer.

Within those three groups it doesn’t really matter which ones you do first

It absolutely does matter. You must do exponents after brackets and before multiplication and division, for the precise reason you said that exponents are shorthand for multiplication. In other words, there's 4 groups, not three.

If you’d ever taken any advanced math, you’d see that the answer is 1 all day

Don't need to do advanced Maths - every rule you need to know for this problem is taught in Year 7.