Without actually performing the long division, state whether the following ration numbers will have a terminating decimal expansion or a non-berminating repeat decimal expansion (1)23/75
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To check whether the rational number pq is terminating or non- terminating, we have to reduce q into its prime factors. If q can be written as q=2m5n where m and n are integers, we can say that pq will have a terminating decimal expansion.
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