16 is the right answer if you use PEMDAS only: (8 ÷ 2) × (2 + 2)
1 is the right answer if you use implicit/explicit with PEMDAS: 8 ÷ (2 × (2 + 2))
both are correct answers (as in if you don’t put in extra parentheses to reduce ambiguity, you should expect expect either answer)
this is also one of the reasons why postfix and prefix notations have an advantage over infix notation
postfix (HP, RPN, Forth): 2 2 + 8 2 ÷ × .
prefix (Lisp): (× (÷ 8 2) (+ 2 2))
prefix notation doesn't need parentheses either though, at least in this case. lisp uses them for readability and to get multiple arity operators. infix doesn't have any ambiguity either if you parenthesize all operations like that.
infix doesn’t have any ambiguity either if you parenthesize all operations like that
There isn't any ambiguity even if you don't.
16 is the right answer if you use PEMDAS only: (8 ÷ 2) × (2 + 2)
You added brackets and changed the answer. 2(2+2) is a single term, and if you break it up then you change the answer (because now the (2+2) is in the numerator instead of in the denominator).
1 is the right answer
The only right answer
both are correct answers
Nope, 1 is the only correct answer.
this is also one of the reasons why postfix and prefix notations have an advantage over infix notation
Except they don't. This isn't a notation problem, it's a people don't remember the rules of Maths problem.
(8 ÷ 2) × (2 + 2)8 ÷ (2 × (2 + 2))2 2 + 8 2 ÷ × .(× (÷ 8 2) (+ 2 2))prefix notation doesn't need parentheses either though, at least in this case. lisp uses them for readability and to get multiple arity operators. infix doesn't have any ambiguity either if you parenthesize all operations like that.
There isn't any ambiguity even if you don't.
You added brackets and changed the answer. 2(2+2) is a single term, and if you break it up then you change the answer (because now the (2+2) is in the numerator instead of in the denominator).
The only right answer
Nope, 1 is the only correct answer.
Except they don't. This isn't a notation problem, it's a people don't remember the rules of Maths problem.