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Which of the following have non-terminat...

Which of the following have non-terminating repeating decimal?

A

`2//25`

B

`2//7`

C

`(231)/(2^(2)xx5^(2)xx7)`

D

`(1323)/(6^(3)xx(35)^(2))`

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Knowledge Check

  • Which of the following numbers has the terminating decimal representation ?

    A
    `1//7`
    B
    `1//3`
    C
    `3//5`
    D
    `17//3`

  • Which one of the following has a terminating decimal expansion ?

    A
    `(1)/(6)`
    B
    `(17)/(25)`
    C
    `(10)/(3)`
    D
    `(1)/(11)`

  • Which of the following numbers has a terminating decimal expansion?

    A
    `(43)/(140)`
    B
    `(57)/(120)`
    C
    `(47)/(150)`
    D
    `(61)/(110)`

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    Assertion : 29/9261 will have a non-terminating repeating decimal expansion. Reason : Let a = p/q be a rational number such that p and q are co-prime and the prime factorisation of q is of the form 2^(n)xx5^(m) where n and m are non-negative integers (whole numbers). Then a has a decimal expansion, which is non-terminating repeating.

    Which of the following will give a terminating decimal?

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