no it's actually totally different. the distributive property divides up the problem and solves it. and it can answer problems that order of operations sometimes can't. just because you get the same answer doesn't make them the same problem.
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There is no such thing as a "distrulive" property. The nearest mathematical term is the distributive property and normally that applies to two mathematical operations being applied to three arguments (inputs) - not one operation and two inputs.
There is no such thing. Take a look at the definition of the distributive property - the basic definition involves three numbers; the definition can also be extended to more than three numbers.
Yes, but it would be a pointless thing to do. The associative property is much more appropriate.
Yes, and parenthesis are the first thing you solve.
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