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The whole numbers are not closed under division! The statement is false since, for example, 2/3 is not a whole number.
No, whole numbers are not closed under division. It is possible to divide one whole number by another whole number and get a result which is not a whole number, for example, 1/2. One divided by two is a half.
The first need arose when it was found that the set of whole numbers was not closed under division. That is, given whole numbers A and B (B non-zero), that, in general, A/B was not a whole number - but a fraction.
No, the result of a division of one whole number into another might be a whole number, but could also be a fraction.
Yes.
The whole numbers are not closed under division! The statement is false since, for example, 2/3 is not a whole number.
The set of whole numbers is not closed under division (by non-zero whole numbers).
Integers are closed under division I think o.o. It's either counting numbers, integers or whole numbers . I cant remember :/
No, whole numbers are not closed under division. It is possible to divide one whole number by another whole number and get a result which is not a whole number, for example, 1/2. One divided by two is a half.
The set of whole numbers is not closed under division by a non-zero whole number. Rational numbers provide that closure and so enable the definition of division of one integer by a non-zero integer.
The first need arose when it was found that the set of whole numbers was not closed under division. That is, given whole numbers A and B (B non-zero), that, in general, A/B was not a whole number - but a fraction.
The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.
No, the result of a division of one whole number into another might be a whole number, but could also be a fraction.
It depends on your definition of whole numbers. The classic definition of whole numbers is the set of counting numbers and zero. In this case, the set of whole numbers is not closed under subtraction, because 3-6 = -3, and -3 is not a member of this set. However, if you use whole numbers as the set of all integers, then whole numbers would be closed under subtraction.
If you can never, by multiplying two whole numbers, get anything but another whole number back as your answer, then, YES, the set of whole numbers must be closed under multiplication.
Yes.
No. Integers are not closed under division because they consist of negative and positive whole numbers. NO FRACTIONS!No.For a set to be closed under an operation, the result of the operation on any members of the set must be a member of the set.When the integer one (1) is divided by the integer four (4) the result is not an integer (1/4 = 0.25) and so not member of the set; thus integers are not closed under division.