It means that dividing any number in the set by any other number in the set is valid, and that the result is again a member of the set.
For example, the set of real numbers is NOT closed under division - you can't divide by zero.
The set of real numbers, excluding zero, IS closed under division. Similarly, the set of rational numbers excluding zero is also closed under division.
It means that dividing any number in the set by any other number in the set is valid, and that the result is again a member of the set.
For example, the set of real numbers is NOT closed under division - you can't divide by zero.
The set of real numbers, excluding zero, IS closed under division. Similarly, the set of rational numbers excluding zero is also closed under division.
It means that dividing any number in the set by any other number in the set is valid, and that the result is again a member of the set.
For example, the set of real numbers is NOT closed under division - you can't divide by zero.
The set of real numbers, excluding zero, IS closed under division. Similarly, the set of rational numbers excluding zero is also closed under division.
It means that dividing any number in the set by any other number in the set is valid, and that the result is again a member of the set.
For example, the set of real numbers is NOT closed under division - you can't divide by zero.
The set of real numbers, excluding zero, IS closed under division. Similarly, the set of rational numbers excluding zero is also closed under division.
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It means that dividing any number in the set by any other number in the set is valid, and that the result is again a member of the set.
For example, the set of real numbers is NOT closed under division - you can't divide by zero.
The set of real numbers, excluding zero, IS closed under division. Similarly, the set of rational numbers excluding zero is also closed under division.
The set of positive whole numbers is not closed under subtraction! In order for a set of numbers to be closed under some operation would mean that if you take any two elements of that set and use the operation the resulting "answer" would also be in the original set.26 is a positive whole number.40 is a positive whole number.However 26-40 = -14 which is clearly not a positive whole number. So positive whole numbers are not closed under subtraction.
It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.
Any time you add integers, the sum will be another integer.
divide/division
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