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Question 1 (ii)
Without actually performing the long division, state whether 178 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.


Solution

178
On factorising the denominator, we get:
8=2×2×2=23
Here, denominator is in the form of 2m×5n, where m = 3 and n = 0.
It means that rational number 178 has terminating decimal expansion.

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