Question

16. Without actually performing the long division, state whether the following rational number will have
a terminating decimal expansion or not. Also, write the terminating decimal expansion, if exists.

51/1500

Answer 1

Answer:

Since,

1500=2×750=2×2×375=2×2×3×125=2×2×3×5×5×5

Therefore,

51/1500=3×17/2×2×3×5×5×5

=17/2×2×5×5×5×

=17/2^2×5^3

Since the denominator is in the form 2^m×5^n,therefore it has terminating decimal expansion...

And51/1500=0.034

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