multiplication and division are the same operation
No they're not, but they are both binary operators.
in order to stop confusing people, it should just be: BOMA.
Leaving out D and S confuses people about where to do them in the order. It's intended to be used as a checklist

BODMAS (or BEDMAS), not BOMDAS. (unless they did that in some random state). I'm an Australian Maths teacher