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What operations is the set -1 0 1 closed to A Addition B Division C Multiplication D Subtraction?
Multiplication.
Is the set of all negative numbers closed under the operation of multiplication Explain why or why not?
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.
Why is the set of -1 0 and 1 closed under multiplication?
Because the product of any two elements is also an element of the set.
Is the set of all complex numbers x that have absolute value 1 closed under multiplication?
of course!
Is the set of whole numbers with 31 removed closed under the operation of multiplication?
No. Since -1 x -31 (= 31) would not be in the set.
Are odd numbered sets closed under addition and multiplication?
No. 1 + 3 = 4, which is not odd. In fact, no pair of odds sums to an odd. So the set is not closed under addition.
Is The set 0 1 and multiplication closed?
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.
Which set is closed under the given operation 1 integers under division 2 negative integers under subtraction 3 odd integers under multiplication?
1 No. 2 No. 3 Yes.
What is the definition for identity property of multiplication?
The identity property for a set with the operation of multiplication defined on it is that the set contains a unique element, denoted by i, such that for every element x in the set, i * x = x = x * i The set need not consist of numbers, and the multiplication need not be the everyday kind of multiplication. Matrix multiplication is an example.
What are examples of inverse property of multiplication?
When multiplication is defined over some domains, for every non-zero element X, in the domain, there exists a unique element Y, also in the domain such that X*Y = Y*X = 1 where 1 is the multiplicative identity. Such a value Y is written as X-1 or 1/X. Note that a multiplicative inverse need not exist. For example, the set of integers is closed under multiplication, but most elements do not have an inverse within the set.
What are the 5 kinds of identity of multiplication?
For any set of numbers, with the normal operation of multiplication defined on the set, there is only one identity, and that is 1.
Is 1 the identity element or a whole number?
1 is a whole number. It is the identity element with respect to multiplication but not addition.
