A set is closed under a particular operation (like division, addition, subtraction, etc) if whenever two elements of the set are combined by the operation, the answer is always an element of the original set. Examples: I) The positive integers are closed under addition, because adding any two positive integers gives another positive integer. II) The integers are notclosed under division, because it is not true that an integer divided by an integer is an integer (as in the case of 1 divided by 5, for example). In this case, the answer depends on the definition of "whole numbers". If this term is taken to mean positive whole numbers (1, 2, 3, ...), then the answer is no, they are not closed under subtraction, because it is possible to subtract two positive whole numbers and get an answer that is not a positive whole number (as in the case of 1 - 10 = -9, which is not a positive whole number)
False. Irrational numbers are real numbers.
There is some disagreement. Some people include zero in the set of natural numbers (like whole numbers), some people don't (like counting numbers).
Yes, no irrational numbers are whole numbers.
It is true and false. It cannot be proved.
False
It depends, many people do count 0 as a natural number, but MOST do not. So for most HS text book, the answer is NO, all whole numbers are not natural numbers and the reason is 0 is a whole number but not a natural number.
true
No, integers are positive and negative whole numbers
True.
Yes, it is true.
False
i for one believe it is false
dont know
the set of whole numbers include zero but the natural numbers do not? true or false
That's false.
the answer is true b/c all the numbers that found in positive integer found in natural numbers