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Does every point on the real number line correspond to a rational number?
No. There are several real numbers that are not rational (e.g. pi). However, every rational number is also a real number. In general, whole numbers/natural numbers is a subset of the integers (i.e. every whole number is an integer), the integers is a subset of the rationals, the rationals are a subset of the real numbers. I think the real numbers are a subset of the complex numbers, but I'm not 100% positive on that.
To which set of numbers does the number -12 belong?
It belongs to any set that contains it: for example, {4.75, -12, pi, sqrt(5), 29}. It belongs to the set of integers which is a proper subset of rational numbers which is a proper subset of real numbers which is a proper subset of complex numbers. So -12 belongs to all the above sets.
What subset of real numbers does fourteen belong?
To any set that contains it! It belongs to {14}, or {14, sqrt(2), pi, -3/7}, or all whole numbers between 3 and 53, or multiples of 7, or composite numbers, or counting numbers, or integers, or rational numbers, or real numbers, etc.
Is a real number always sometimes or never a rational number?
Sometimes. The number '4' is real and rational. The number 'pi' is real but not rational.
What real number is nonterminating and a nonrepeating decimal?
The only real number that is non-terminating and non-repeating is Pi (pie)
