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are the numbers we use in counting things, that is {1, 2, 3, 4, . . . }. The three dots, called ellipses, indicate that the pattern continues indefinitely.
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are numbers consisting of the set of natural or counting numbers and zero. |
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the result of the union of the set of whole numbers and the negative of counting numbers |
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are numbers that can be expressed as a quotient a/b of two integers. The integer a is the numerator while the integer b, which cannot be 0 is the denominator. This set includes fractions and some decimal numbers. |
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are numbers that cannot be expressed as a quotient a/b of two integers. Every irrational number may be represented by a decimal that neither repeats nor terminates |
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are any of the numbers from the preceding subsets. They can be found on the real number line. The union of rational numbers and irrational numbers is the set of real numbers. |
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a straight line extended on both directions as illustrated by arrowheads and is used to represent the set of real numbers. On the real number line, there is a point for every real number and there is a real number for every point. |
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