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I have stopped teaching my students BEDMAS (or it's equivalents) as it is misleading in so many ways.
I now use GEMA.
One: I don't like the idea of a large MAS in someones BED!
Two: GEMA is such a lovely name.
Three: the DM (or MD) and the AS (or SA) misleads so many students.
G=Grouping
E= Exponents
M=Multiplication(and division is just inverse multiplication)
A= Addition (and subtraction is just inverse addition)
It is time we put PEDMAS, BIDMAS, BOMDAS, etc to BED and woke up with GEMA