Hello!
UNFORTUNATELY ChatGPT doesn’t calculate -(-3^2) properly!
You: Calculate -(-3^2)
ChatGPT: When you have a negative sign in front of a parenthesis, it’s the same as multiplying everything inside the parenthesis by -1. So,
-(-3^2) = -(3^2) = -(9) = -9
So, -(-3^2) equals -9.
☆ This is WRONG, correct is +9 because to solve -(-3^2) we must do:
(a) FIRST the minus (before the parenthesis) must be resolved, so this minus and the minus inside the parenthesis results in PLUS
(b) THEN 3^2 = +9 and the PLUS of (a) don’t change this value, so it’s remains +9 (so the correct RESULT is +9)
Best regards from Stuttgart,
Stefan Gross
_j
March 8, 2024, 1:21am
2
stefangross56:
Calculate -(-3^2)
It’s not really a “bug”, per se, but just that the language AI is good at – language. Not being a calculator.
Just a bit more instruction will give the AI the ability to reflect on how to solve the problem before giving a final answer. Here’s ChatGPT 3.5:
Provide a step by step analysis and proof of the solution to the problem x = -(-3^2)
To solve the expression (x = -(-3^2) ), let’s break it down step by step using the order of operations (PEMDAS/BODMAS):
Exponentiation : Evaluate the exponent first.
[3^2 = 9 ]
Negation : Apply the negation to the result of the exponentiation.
[-(3^2) = -(9) ]
Negation (again) : Apply another negation to the result.
[x = -(-9) ]
Double Negation : Two negations cancel each other out, leaving the result unchanged.
[x = 9 ]
So, (x = 9 ) is the solution.
In summary:
[x = -(-3^2) = -(9) = 9 ]
(don’t ask about the last step having -9…it got to the right answer…)
Hello!
Thanks a lot for YOUR quick response!
I see now and understand that a detailed question is needed, BUT my question was absolut clear and unambiguous and therefore I expect an unambiguous and correct answer!
Best regards from Stuttgart,
Stefan Gross (maths tutor/software developer/physicist)