No. For a set to be closed with respect to an operation, the result of applying the operation to any elements of the set also must be in the set. The set of negative numbers is not closed under multiplication because, for example (-1)*(-2)=2. In that example, we multiplied two numbers that were in the set (negative numbers) and the product was not in the set (it is a positive number). On the other hand, the set of all negative numbers is closed under the operation of addition because the sum of any two negative numbers is a negatoive number.
Because the product of any two elements is also an element of the set.
of course!
Since that's a fairly small set, you should be able to check all combinations (for 2 numbers, there are only 4 possible multiplications), and see whether the result is in the set.
For any set of numbers, with the normal operation of multiplication defined on the set, there is only one identity, and that is 1.
1 is a whole number. It is the identity element with respect to multiplication but not addition.
It is the identity property of 1 with respect to multiplication.
The set of all odd numbers. 1+1=2
An identity element is an element of a set which leaves other elements unchanged when combined with them. For multiplication, the identity element is 1 .
yes
Startime - 1959 I Closed Set 1-20 was released on: USA: 16 February 1960
Bracken's World - 1969 Closed Set 1-6 was released on: USA: 24 October 1969