Yes, the fundamentals the same, higher orders come first. BUT…
-Multiplication comes before division in some forms, like PEMDAS. In the example I use, this changes the answer.
-When you apply an operation, you should specify what it is operating on. In all of these acronyms, addition comes before subtraction, but with a different example:
2 - 2 + 2
The minus sign only applies to the middle term, by convention. It is the equivalent of “adding negative two”. You can quickly see that this expression is equal to 2.
But if you use one of these acronyms, you end with this expression evaluating to -2. I would say it is almost universally accepted that 2 is the correct answer, and -2 is incorrect. Basically, all these acronyms end up being useless waste of time.
I don’t know if I conveyed this the first time, but, as a lover of pure mathematics, this is something that does not have application in life or in study. It’s an utterly useless waste of time. There is never a case where someone give you numbers like this, where it is not clear what order the numbers should be applied in.
Multiplication comes before division in some forms, like PEMDAS. In the example I use, this changes the answer
If you have both multiplication and division then you do them left to right. PEMDAS doesn’t mean multiplication first, nor does BEDMAS mean division first. It’s PE(MD)(AS) and BE(DM)(AS) where the bracketed parts are done left to right.
you should specify what it is operating on
Left associativity means it always operates on the following term. i.e. terms are associated with the sign on their left.
The minus sign only applies to the middle term, by convention
By the rule of left associativity.
But if you use one of these acronyms, you end with this expression evaluating to -2
No it doesn’t. How on Earth did you manage to get -2?
all these acronyms end up being useless waste of time
No they’re not, but I don’t know yet where you’re going wrong with them without seeing your working out.
Yes, the fundamentals the same, higher orders come first. BUT…
-Multiplication comes before division in some forms, like PEMDAS. In the example I use, this changes the answer.
-When you apply an operation, you should specify what it is operating on. In all of these acronyms, addition comes before subtraction, but with a different example:
The minus sign only applies to the middle term, by convention. It is the equivalent of “adding negative two”. You can quickly see that this expression is equal to 2.
But if you use one of these acronyms, you end with this expression evaluating to -2. I would say it is almost universally accepted that 2 is the correct answer, and -2 is incorrect. Basically, all these acronyms end up being useless waste of time.
I don’t know if I conveyed this the first time, but, as a lover of pure mathematics, this is something that does not have application in life or in study. It’s an utterly useless waste of time. There is never a case where someone give you numbers like this, where it is not clear what order the numbers should be applied in.
If you have both multiplication and division then you do them left to right. PEMDAS doesn’t mean multiplication first, nor does BEDMAS mean division first. It’s PE(MD)(AS) and BE(DM)(AS) where the bracketed parts are done left to right.
Left associativity means it always operates on the following term. i.e. terms are associated with the sign on their left.
By the rule of left associativity.
No it doesn’t. How on Earth did you manage to get -2?
No they’re not, but I don’t know yet where you’re going wrong with them without seeing your working out.