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Q.

Tell whether the following statement is true or false:


The rational number 3 8   have terminating decimal expansion. 


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a

True

b

False 

answer is A.

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Detailed Solution

We need to check whether the rational number 3 8   have terminating decimal expansion or not.  Assume x= 3 8  .
Compare with x= p q  ,
Therefore, p = 3 and q = 8
As we know that, if the denominator has the factors  2 m 5 n  , then the number will be terminated.
Writing denominator in the form of 2 m 5 n  ,
Factors of the denominator are,
= 2 3 ​​×​​ 5 0   It is of the form 2 m 5 n  .
Hence, 3 8   has a terminating decimal expansion.
Given statement is true.
Hence, option 1 is correct.
 
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