| 21. | A decimal number may or may not be a rational number.
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| 22. | This is true also for all rational numbers, as can be seen below.
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| 23. | This is analogous to the relationship between the rational numbers and the integers.
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| 24. | The rational numbers are therefore the prime field for characteristic zero.
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| 25. | A simple example is the set of non-zero rational numbers.
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| 26. | Every rational number also has a unique infinite Engel expansion : using the identity
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| 27. | We might limit the construction to the rationals as the rational numbers are countable.
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| 28. | Thus, the finite adele ring of the rational numbers is
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| 29. | Each positive integer, and each positive rational number, is constructible.
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| 30. | Answering this revised question precisely requires close examination of the definition of rational numbers.
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