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Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

(i) $13 over 3125$

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27. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

(ii) $17 over 8$

$space space space space space left parenthesis ii right parenthesis space space space space space space 17 over 8 equals 17 over 2 cubed space space space space space space rightwards double arrow space space space space space 17 over 8 space$
has a terminating decimal expansion

[By NCERT Theorem 1.6]

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28. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

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29. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: