8÷2(2+2)=8×(1/2)×(2+2)
No, that’s wrong. 2(2+2) is a single term, and thus entirely in the denominator. When you separated the coefficient you flipped the (2+2) into the numerator, hence the wrong answer. You must never add multiplication signs where there are none.
Brackets are ALWAYS first.
intentionally ambiguously written
#MathsIsNeverAmbiguous
learned order of operations to cause a fight
The order of operations are the same everywhere. The fights arise from people who don’t remember them.
there is no standard order of operations across languages
Yes there is. The rules of Maths are universal.
It’s an easy place for bugs to sneak in
But that’s because of programmers not checking the rules of Maths first.
That section is about multiplication, and there isn’t any multiplication in this expression.
Not in this case it isn’t. It has been written in a way which obeys all the rules of Maths.
But I do! I see University lecturers - who have forgotten their high school Maths rules (which is where this topic is taught) - arguing about it.
Yes, it is. The app written by the programmer is ignoring The Distributive Law (most likely because the programmer has forgotten it and not bothered to check his Maths is correct first).
Those aren’t the rules. They are mnemonics to help you remember the rules
Yes, that’s right, because they have equal precedence and it literally doesn’t matter which way around you do them.
Yes, you can!
Yes, that’s because that’s the easy way to obey the actual rule of Left associativity.
Correct! So 2(2+2) unambiguously has to be done before the division.