I think one could argue a coefficient on an unknown variable, like 2y, should take higher priority simply because it cannot be any further resolved or simplified. That is not the case with, say, 2(3+1). Although that does still leave you with potential ambiguity with division/multiplication, such has 1/7y. Is the coefficient 7, or is it 1/7? i.e. Is that 1/(7y)? Or (1/7)y? Either way, if that's not the the standard understood by everyone, then it is a non-standard, inconsistent rule. And as demonstrated, if you do use that rule, it needs to be more clearly defined. That is the source of this "ambiguity". If you don't include it, the order of operations rules, as written, are clear.
I agree it needs to be more clearly defined, but one of the reasons it wasn't clearly defined was because mathematicians thought it was so universal it didn't need defining, like how parentheses work to begin with.
Casio tried not doing umplicit multiplication after some american teachers complained, then went back to doing it after everyone else complained. Implicit multiplication is the standard.
I agree it needs to be more clearly defined
It's clearly defined in any Maths textbook you pick up.
2y, should take higher priority simply because it cannot be any further resolved or simplified
Bingo!
That is not the case with, say, 2(3+1)
It's the same thing, where y=3+1.
1/7y. Is the coefficient 7, or is it 1/7? i.e. Is that 1/(7y)
Yes, it's 1/(7y) as per the definition of Terms.
Either way, if thatβs not the the standard understood by everyone
It's the standard in literally every Maths textbook.
Why the hell are you commenting on my 4 month old comments trying to argue. Fuck off.
Actually I'm educating and hoping people will stop arguing about it. You can take it on board or not. You actually nearly had it.
Also, your comments will show up in search results for all eternity unless you delete them.
I think one could argue a coefficient on an unknown variable, like 2y, should take higher priority simply because it cannot be any further resolved or simplified. That is not the case with, say, 2(3+1). Although that does still leave you with potential ambiguity with division/multiplication, such has 1/7y. Is the coefficient 7, or is it 1/7? i.e. Is that 1/(7y)? Or (1/7)y? Either way, if that's not the the standard understood by everyone, then it is a non-standard, inconsistent rule. And as demonstrated, if you do use that rule, it needs to be more clearly defined. That is the source of this "ambiguity". If you don't include it, the order of operations rules, as written, are clear.
I agree it needs to be more clearly defined, but one of the reasons it wasn't clearly defined was because mathematicians thought it was so universal it didn't need defining, like how parentheses work to begin with.
Casio tried not doing umplicit multiplication after some american teachers complained, then went back to doing it after everyone else complained. Implicit multiplication is the standard.
It's clearly defined in any Maths textbook you pick up.
Bingo!
It's the same thing, where y=3+1.
Yes, it's 1/(7y) as per the definition of Terms.
It's the standard in literally every Maths textbook.
Why the hell are you commenting on my 4 month old comments trying to argue. Fuck off.
Actually I'm educating and hoping people will stop arguing about it. You can take it on board or not. You actually nearly had it.
Also, your comments will show up in search results for all eternity unless you delete them.