what is the decimal expansion of irrational numbers
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The decimal expansion of a numbermay terminate (in which case thenumber is called a regular number or finite decimal, e.g., ), eventually become periodic (in which case thenumber is called a repeating decimal, e.g., ), or continue infinitely without repeating (in which case the number is called irrational).
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Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers.
This is opposed to rational numbers, like 2, 7, one-fifth and -13/9, which can be, and are, expressed as the ratio of two whole numbers.
When expressed as a decimal, irrational numbers go on forever after the decimal point and never repeat.
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