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Yes they are.A terminating number such as a.bcdef is equivalent to abcdef/1000000. A repeating number such as a.bcdbcd... is equivalent to abcd/999 [the number of 9s is the length of the repeating string of digits.] So, in both cases the number can be written in the form of p/q where p and q are integers and q > 0.

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Q: Are all terming and repeating decimals rational numbers explain?
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