English

The decimal expansion of 17/8 will terminate after ______ places of decimal.

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Question

The decimal expansion of `17/8` will terminate after ______ places of decimal.

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Solution

The decimal expansion of `17/8` will terminate after 3 places of decimal.

Explanation:

`17/8 = 17/2^3` and a fraction with denominator of the form 2m × 5n terminates after max(m, n) decimal places, here m = 3, so it terminates after 3 places.

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Chapter 1: Real Numbers - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 1.45]

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R.D. Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 21. | Page 1.45
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