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Q.

For the decimal 0. 3 ¯  .what is the rational number?


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a

    3 11  

b

      3 10  

c

      1 3  

d

      3 1   

answer is C.

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Detailed Solution

Given,
The decimal number is 0. 3 ¯  .
Let the decimal number 0. 3 ¯   be expressed as variable x.
⇒x=0.333... 1  
Multiply both sides by 10, to get,
⇒10x=3.3333... 2   Subtract (1)     from (2)    .
⇒10x−x=3.3333−0.3333 ⇒9x=3  
  ⇒x= 3 9   ⇒x= 1 3   Thus, the rational number is 1 3  .
Therefore, option(3)     is correct answer.
 
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For the decimal 0. 3 ¯  .what is the rational number?