Because, if you want to multiply say 2*4=8 that is the same as doing 4+4=8 or 4 two times. It's the same with all numbers!
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They aren't. The rules are the same as those for adding/subtracting or multiplying integers. Just be careful of the decimal point's location.
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Multiplying by two is the same thing as adding the number to itsself again. 2 (4) = 4 + 4
Doubling is the same as multiplying by two. The two actions are the same.