Write the following in decimal form and say what kind of decimal expansion each has : (1) 36/100 (2) 1/11 (3) 3/13

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(i) 36/100 
On dividing 36 by 100, 

Therefore, 36/100 = 0.36, 
which is a terminating decimal.  

 

(ii) 1/11 
On dividing 1 by 11, 

While dividing 1 by 11, the quotient = 0.09 is repeated. 
Therefore, 1/11 = 0.0909…..Which is a non-terminating and recurring. 

 

(iii) 3/13
On dividing 3 by 13,

Dividing 3 by 13 the remainder is 3, which will continue to be 3 after carrying out 6 continuous divisions. 
Therefore, 3/13 = 0.230679 which is a non-terminating and recurring decimal.

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