Yes!
Yes. The empty set is closed under the two operations.
If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.
yes
The set of integers is not closed under multiplication and so is not a field.
Is { 0, 20 } closed under multiplication
A set is closed under multiplication if for any two elements, x and y, in the set, their product, x*y, is also a member of the set.
Yes!
Yes!
Yes. The empty set is closed under the two operations.
If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.
Yes.
yes
Yes.
Yes
Yes, it is.
yes