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Which group of sets does the number -15 belong to?
To any set that contains it! It belongs to {-15}, or {sqrt(2), -15, pi, -3/7}, or all whole numbers between -43 and 53, or multiples of 5, or composite numbers, or integers, or rational numbers, or real numbers, or complex numbers, etc.
What number set contains the number 1.5?
To any set that contains it! It belongs to {1.5}, or {1.5, sqrt(2), pi, -3/7}, or all whole numbers to 1 decimal place between 1 and 53, or multiples of 0.5, or rational numbers, or real numbers, or complex numbers, etc.
Are all natural numbers also whole numbers?
Yes.
Which subsets of real numbers does the number -22 belong?
To any set that contains it! It belongs to {-22}, or {-22, sqrt(2), pi, -3/7}, or all whole numbers between -43 and 53, or multiples of 11, or composite numbers, or integers, or rational numbers, or real numbers, etc.
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.
