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Question
State whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion:
`129/(2^2xx5^7xx7^5)`
Solution
`129/(2^2xx5^7xx7^5)`
since the denomintaor is not of the form 2m × 5n, and it also has 7 as its factor, the decimal expansion of `129/(2^2xx5^7xx7^5)` is non-terminating repeating.
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