Simply put, i personally understand BODMAS is an ‘exploded view’ of a numerical situation only expressed in Alphabets(English). The order of operation MUST/ is conveniently followed ….like asperities of a key, each serration ‘unlocks’, ‘un-tethers’ in the most logical of ways. BODMAS and PEMDAS happen to give TRUE answers in actual fact and practice as long as the ( ),+, _,/, were properly adopted, algebraically(in the first place). Consider the Golden ratio with division of (2) in bracket you get 2.736067977. Which is far from Fibonacci 1.618033989. where brackets are adopted in the numerator. Adoption of brackets in the Numerator or Denominator is a factor.
