No it isn’t 😂

Yes it is.

The part where you said to leave it out of the mnemonic “It should be limited - like Orders - to only Multiplication and Addition”

If you understand what is multiplication and what is addition, then you know what this doesn't suggest ignoring division or subtraction at all.

Nope. 2/2 is not the same as 2*½. Do you need glasses or something??

OK, teach me. What's the result of 2/2 and what's the result of 2*½?

Because 2-2 came first, before we started using Brackets in Maths, by several hundred years

Explain how is that relevant to the discussion. Or to the example I gave, where brackets are only used for readability sake, they're not changing the results in any way. You might as well note that as -2+2 - see? No scary brackets anymore, same result.

You glibly ignoring the history and rules of Maths 🙄

Well... yes, because we're not talking about the history, we're talking about the current rules.

That’s EXACTLY what the mnemonics are for! 😂 Don’t need to understand it, just follow the steps

This whole thread stemmed from the fact that some people were taught PEMDAS while others where taught PEDMAS.

Are you suggesting that the order of operations depends on your maths teacher?

No-one gets confused or angry about that

Wow, let me be the first to welcome you to the Internet! I know it might be jarring at first, but give it time and you'll get used to the weirdness! Glad to see you joining!

There are textbooks that specifically teach to do it that way

Great! Now find one that actually talks about that, instead of one that talks about the addition of similar monomials, which is a different thing altogether.

Actually, you know what? Never mind - instead just read the part you posted, but slower. Here, let me highlight the important bit:

"Addition of similar monomials is performed by taking the arithmetical difference between the total of the positive and the total of the negative coefficients, giving it the sign of the numerically greater total, and annexing it to the common literal part"

Which actually reinforces my point.

I have never seen any textbook say to do Subtraction before Addition, everyone is taught Addition first

See? This is exactly what I was talking about. Addition is NOT first, unless it's the first on the right. If subtraction is first, you do subtraction first.

Understanding that you can do them in any order proves there is no problem 😂

Again, let me extend a warm welcome on behalf of everyone on the Internet. I believe you'll have a great time here.