Yes, the Distributive Property is true over addition and multiplication, and it will continue to until you start studying exotic concepts such as Ring Theory or Field Theory.
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Whether or not the distributive property can or should be used depends on what you wish to multiply 43.2 by. For example, if you wish to multiply 43.2 by 10, the distributive property is irrelevant!
10*46 = 10*(40+6) = 10*40 + 10*6 (using the distributive property) = 400 + 60 = 460 Except that to multiply by 10 you should not need the ditributive property!
BEDMAS= brackets, exponents,division,multiplication,addition,subtraction
Yes.
I don't know if it should be called "preference", but if an expression has both multiplication and addition in it, then the multiplication has to be done first. This is only because you'll get the wrong answer the other way, not because there's anything preferable about multiplication.