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Q.


The decimal form of  4 1 8   is categorized as ____ decimal.
 


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Detailed Solution

The decimal form of  4 1 8   is categorized as terminating decimal. 
Given: 4 1 8  
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.
We have,
4 1 8 = 33 8   Here, 8= 2 3 × 5 0 .   Since the denominator of the given rational number is expressed in the form of 2 m × 5 n ,   therefore 33 8   has a terminating decimal expansion.
Hence, 4 1 8   has a terminating decimal expansion.
 
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The decimal form of  4 1 8   is categorized as ____ decimal.