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Not by necessity, but multiplication and division aredefined for negative numbers.
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No, you can use it in multiplication
Arithmetic is the process of applying the four basic operations: addition, subtraction, multiplication and division to numbers.
The Abelian or commutative property of the multiplication of numbers. It is important that both "multiplication" and "numbers" feature in the answer. Because, it is applicable to multiplication but not, for example, for division. It is applicable for the multiplication on numbers but not matrices.
Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.
The inverse function of multiplication is division.
Knowing simple multiplication facts can help with division of greater numbers because you will be familiar with how many times numbers can be put into other numbers. Once you know multiplication, division is easy.
They are addition, subtraction, division and multiplication
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You are working with numbers. One is a whole number and the other is a fraction of a whole number (with a decimal point, etc). You apply the same principles of subtracting one number from another or a fraction of one number from a fraction of another. Numbers is numbers!
For the specific case of whole numbers, you can consider multiplication to be repeated addition; and division to be repeated subtraction (see how often you can subtract something).