They're both operations. I know someone else would probably be able to give a more detailed and thorough answer, but i like to keep it simple. Operations you can do on a number to change it around, or keep it the same.
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A set of related addition-subtraction or multiplication-division sentences is a fact family.
the whole reason is this: multiplication is adding to that number in groups and division is subtracting from a number in groups.
Do (multiplication/division) before you do (addition/subtraction).
You don't. You can check addition with subtraction or subtraction with addition, since subtraction is the opposite of addition. Similary, you can check division with multiplication, or vice versa.
Multiplication is successive Addition Division is successive subtraction