So, where did the order of operations come from and how is it justified? So many times do I see pictures like this on the interwebs and people debate over it. Why is it that we do operations in the order that we do?
answer is 5 btw
>>8855145
Convention
The only use I have ever encountered in my life was with programming languages, but for all intents and purposes it is as arbitrary as psychology.
>>8855145
Math allows people to write shit ambiguously.
Arguments come from unclear statements, like 3+4/3+2
Which can arguable read as
(3+4)/(3+2)
or
3+(4/3)+2
or
((3+4)/3)+2
and etc
>>8855171
that's the stupidest thing I've ever read
>>8855145
Because exponentiation is just a short hand notation for a bunch of multiplications. And multiplications are a shorthand notation for a bunch of additions. Parenthesis are just an artificial way of grouping operations in the way the author wants them to.
So if you have an exponentiation and a multiplication you need to do the exponentiation first since it's just a shorthand, and you can't do a multiplication between a number and a shorthand notation, since it doesn't make any sense. The same goes for multiplication and addition, since multiplication is just a shorthand.
Practically all arithmetic operations are nothing more than additions, with shorthand notation used to not have to write millions of repeating numbers.
>>8855204
Tell me about the great mathematical field of order of operations oh wise one.
>>8855169
Is it really as arbitrary as convention? No logic behind it at all?
>>8855145
>/lit/ read left to right
>/math/ just fuck my shit up
>>8855271
It is logic + convention.
Logic because you have to choose an order that was consistent (if you follow its rules then you must always get an unique answer) but there are many possible ways to make it consistent and picking one is indeed arbitrary convention.
>>8855278
That was such an autistic way to say it was arbitrary. Impressed anon.
>>8855274
You also read left to right 8-5-3=0
>>8855167
The answer is negative five hundo
>>8855321
except for exponents
3^3^3 = 3^27 not (3^3)^3=3^9
>>8855271
It is convention. It has logic behind it. They are not mutually exclusive.
The distributive law in a ring says a(b+c) = ab + ac. You can deduce the "order of operations" (what a fucking brainlet middle schooler term give me a fucking break) from that
>>8855193
There's nothing unclear about that statement.
>>8855171
is this bait? it honestly made me mad at how someone could be such an imbicile but then again how would they be able to use a computer.
>>8855274
>/a/ right to left
>/pol/ don't read at all
>/x/ everything you read is brainwashing propaganda
>>8855911
What?
>>8855145
The order was established so that we get the correct answer.