Without actually performing the long division, state the type of decimal expansion of the
number 15
1600
, with reasons.
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Step-by-step explanation:
Hence, the decimal expansion of 151600 is terminating. Since the denominator is not in the form 2m×5n, 2 m × 5 n , and it has 7 as its factor, the decimal expansion of 29343 is non-terminating repeating. The denominator is of the form 2m×5n. Hence, the decimal expansion of 2323×52 23 2 3 × 5 2 is terminating.
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