Without actually performing the long division, state whether 151600 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
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Factorising the denominator, we get; 1600=2×2×2×2×2×2×5×5=26×52
Here, the denominator is in the form of 2m×5n, where m = 6 and n = 2.
Thus, the rational number 151600 has a terminating decimal expansion.