Because people never use that after they learn fractions,Yes they do, because not every division is a fraction
PE(MD)(AS) Now just remember to account for those parentheses firstThose Brackets don't matter. I don't know why people insist it does
order of appearance is ‘the rule’ when commutative properties applyThat's because students often make mistakes with signs when they do it in a different order, so we tell them to stick to left to right
I did not flip any signsYes you did! 😂merely reversed the order in which the operations are written outNo, merely reversing the order gives -3-2+1 - you changed the signs on the 1 and 3.If you read the right side from right to left, itStarts with -3, which you changed to +3it has the same meaning as the left side from left to rightwhen you don't change any of the signs it does 😂Hell, the convention that the sign is on the left is also just a conventionNope, it's a rule of Maths, Left Associativity.
addition and subtraction, left to right is correctYou can do addition and subtraction in any order and it's still correct
Social conventions are real, well defined thingsSo are the laws of nature, that Maths arises fromSome mathematicians like to pretend they aren’t, while using a truckload of them; that’s a hypocritical opinionNo, you making false accusations against Mathematicians is a strawmanThat’s not to say you can’t change themYou can change the conventions, you cannot change the rulesBut all of basic arithmetic is a social conventionNope, law of nature. Even several animals know how to count.you can redefine the numbers and operations any time you want tooAnd you end up back where you started, since you can't change the laws of nature
I mean, arithmetic order is just conventionNope, rules arising from the definition of the operators in the first place.not a mathematical truthIt most certainly is a mathematical truth!But that convention works in the way we know, yes, because that’s what’s… well… conventionThe mnemonics are conventions, the rules are rules
this is just a writing standard that is globally agreed onNo, it's a universal rule of MathsThe writing rules are defined by humans not by natural forceMaths is for describing natural forces, and is subject to those lawsThat one thing and another thing are two things, is a rule from natureYep, there are even some animals who understand that, and all of Maths is based upon it.
Some people insist there’s no “correct” order for the basic arithmetic operations.And those people are wrongAnd worse, some people insist the correct order is parenthesis first, then left to rightAs per Maths textbooksBoth of those sets of people are wrongAll Maths textbooks are wrong?? 😂
And in some languages a number can be used as a name of a variable or a functionNot in Maths it can'tso it can be anything reallyNo, it can only be a Factorised Term, ab+ac=a(b+c). You also can't call a function by any letter that you've used as a pronumeral
Wouldn’t we just assume function expressions are always “in parenthesis”?No, because factorised Terms also are, ab+ac=a(b+c).
The way I was taught growing up, brackets are [these]. Parenthesis are (these)They're all brackets. Parentheses is actually the part inside the ().
You are one of them bc you do not know what an equation is.You are one of the people who doesn't know what a(b+c) isThere is no algebra hereYes there is, 5(8-5).This is arithmeticThere's no a(b+c) in Arithmetic
Implications or assignment?Umm, neither?? 😂They didn’t specify notationa(b+c)=(ab+ac) is taught in Algebra, The Distributive Law, it can't mean anything else - it's the reverse operation to Factorising ab+ac=a(b+c).
Technically not algebra, right?No, it actually is Algebra. The Distributive Law isn't taught to students until they start on Algebra.This is just arithmeticThere's no a(b+c) in Arithmetic.
That’s not even an equation, just basic arithmeticBasic Algebra actually. Students aren't taught the Distributive Law until they start on Algebra
the 5 next to the parentheses indicates multiplicationNo, it indicates Distribution, a(b+c)=(ab+ac), 5(8-5)=(5x8+5x5).
It should be limited - like Orders - to only Multiplication and AdditionBecause you don't want people to know when to do Division and Subtraction? 😂Because division is the same operation as multiplicationNo it isn't, but they are both binary operators. they have the same “weight” in the order of operations (meaning, you do them left-to-right)And where are they going to do Division and Subtraction in the left to right if you've left them out? 🙄
Yes they do, because not every division is a fraction