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The denominator is of the form 2a x 5b where a = 0 and b = 5. Therefore the given rational number will have a terminating decimal expansion.
As the decimal part of the given number is non-terminating and repeating, the number is rational but its denominator will have factors other than 2 and 5.
Since the decimal part of the given number is non-terminating and non-repeating we can conclude that the given number is irrational and cannot be written in the form  where p and q are integers.
The denominator is of the form 2a x 5b where a = 9 and b = 9. Therefore the given number is rational and has a terminating decimal expansion.
decimal expansions of  rational numbers are (i)  (ii)  (iv)  (vI)  (viii)  (ix)
The denominator is not of the form 2a x 5b. Therefore the given rational number will have a non-terminating repeating decimal expansion.
The denominator is of the form 2a x 5b where a = 1 and b = 1. Therefore the given rational number will have a terminating decimal expansion.
The denominator is of the form 2a x 5b where a = 0 and b = 1. Therefore the given rational number will have a terminating decimal expansion.
The denominator is not of the form 2a x 5b. Therefore the given rational number will have a non-terminating repeating decimal expansion.
The denominator is of the form 2a x 5b where a = 3 and b = 2. Therefore the given rational number will have a terminating decimal expansion.
The denominator is not of the form 2a x 5b. Therefore the given rational number will have a non-terminating repeating decimal expansion.
The denominator is of the form 2a x 5b where a = 6 and b = 1. Therefore the given rational number will have a terminating decimal expansion.
The denominator is not of the form 2a x 5b. Therefore the given rational number will have a non-terminating repeating decimal expansion.
The denominator is of the form 2a x 5b where a = 3 and b = 0. Therefore the given rational number will have a terminating decimal expansion.
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