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Q.


The decimal form of 2 11   is categorized as ____ decimal.

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Detailed Solution

The decimal form of  2 11   is categorized as non-terminating decimal.
Given: 2 11  
A rational number p q    has terminating decimal expansion if we can express the denominator q as q= 2 m × 5 n   , where m and n are whole numbers. Otherwise it has non-terminating decimal expansion.
Here, 11= 11 1 .   Since the denominator of the given rational number is not expressed in the form of 2 m × 5 n ,   therefore 2 11   has a non-terminating decimal expansion.
 
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