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Earn +20 ptsQ: What is a set of whole numbers and their oppoisites?
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Is the set of whole numbers closed under subtraction?
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.
Is the set of whole numbers are closed under multiplication?
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.
The set of whole numbers and their opposites?
Integer
The set of contains all the whole numbers and their opposites?
That is called the set of "integers".
What is a set of whole numbers and their opposites?
The two sets are the same: the set of integers.
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