Question

without actually performing the long division state whether the 28/400 will have a terminating decimal expansion or a non terminating decimal expansion.​

Answer 1

Answer:

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It is terminated because it is in the form of 2^m×5^n

Answer 2

Answer:

it will have a terminating decimal expansion.

Explanation:

28/400 = 28/5×5×2×2×2×2

since denominator contains 5²×2⁴ which is in the form 5^m ×2^n

therefore it will have a terminating decimal expansion.