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the one on the right is correct
No, it isn’t.
8/2×(2+2)
…isn’t the same thing as 8/2(2+2). You separated the term in the denominator, leading the (2+2) to get flipped into the numerator, hence wrong answer.
That would be 8/(2x(2+2)) if we were keeping it all in the denominator. Multiplication happens in the numerator if there are no parenthesis to distinguish it. If thr equation was written like this:
8
2x(2+2)
Then you would also be correct, but I have to respectfully disagree with your analysis.
That would be 8/(2x(2+2)) if we were keeping it all in the denominator
(2x(2+2)) is the same thing as 2(2+2)
I have to respectfully disagree with your analysis
Which means you disagree with how Maths textbooks teach how to do this (see previous link).