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Definitions
Terminating Decimals: The rational numbers having denominator either in multiple or powers of 2 or of 5 or both, are known as terminating decimals. (means they have an ending)
Non -Terminating Decimals: The rational numbers having denominator in multiples of all real numbers except 2 and 5 multiples, they are non- terminating decimals. (means they do not have an ending)
Solution:
(i) 11/4
Here, denominator is 4 and it is equal to 2²
So, this rational number is terminating decimal.
(iii) 15/11
Here, denominator is 11 and it is not a power or multiple of either 2 or 5. So, its non- terminating decimal.
You can do other problems on your own and in this way.
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