Why do the multiplication first, and then the addition? How can it be explained?

Answer from: Alexander S.:
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When we multiply two different units we get a new unit of measurement, when we add the units do not change. When we multiply, we get this new unit of measurement. If it is the same as the first summand, then we can perform addition.

Answer from: Aseeva Lesya:
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Because it's worth remembering what it is - multiplication. Under this operation is the addition of the same number more than once. By doing the additions first, we change this very thing "number of times". Here's an example:
> 7*3+5=7+7+7+5=7+7+12=7*2+12
But if we were to do addition first, we would get the following: 
> 7*3+5=>7*8=7+7+7+7+7+7+7+7
Different things, don't you think?

Answer from: Den D.:
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It's just a rule. Mathematicians have agreed that it will be. Also, such as the fact that the first performed actions in parentheses, the same parentheses by the way you can change the priority of actions.
PS. You can bracket and multiply, but it won't change the sequence so they are omitted.

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