8 divided by the quantity 2(2+2) can be written 8/2(2+2)
So, if the answer is 16, then 8/2(2+2) =16 is an equation which is true.
Substituting for the number in parenthesis, using X for the 2, looks like this :
8/2(x+x) = 16
8= 16 times 2(2x)
8= 16 times 4 x
8= 64 X
x = .125, which it does not. However, if 8 /2(2+2) = 1
8/ 2(x+x)=1
8 = 1 times 2(2x)
8 = 4x 8/4 =x
2 = x
it comes down to how the expression 2(2+2) is handled, not how one enters it into a calculator, because by definition, entering it into a calculator when it is expressed in long form must be entered as it is written. However, the expression 2(2+2) has to be treated as one number, same as if it were x(y+y) would be entered as how it reads, but in reality it is considered the number x2y.
So, if the answer is 16, then 8/2(2+2) =16 is an equation which is true.
Incorrect conclusion. 1 does not = 16. That is NOT a true equation.
All of the bullshit about interpretation is just that.
You use entry into a calculator as some kind of justification. Nonsense.
This is basic 6th or 7th grade algebra, not some great mystery.