7Write whether the rational numberwill have a terminating decimal expa

1.	7Write whether the rational numberwill have a terminating decimal expansionor a non-terminating fepeating decimal expansion75
Answer» 7 and 75 have no common factors.So, 7 and 75 are co-prime Hence, 75 = 35^2 Denominator = 35^2 Denominator is not of the form 2^n*2^m Thus, 7/75 is non-terminating repeating decimal expansion.

7Write whether the rational numberwill have a terminating decimal expansionor a non-terminating fepeating decimal expansion75

Answer»

7 and 75 have no common factors.So, 7 and 75 are co-prime

Hence, 75 = 3*5^2

Denominator = 3*5^2

Denominator is not of the form 2^n*2^m

Thus, 7/75 is non-terminating repeating decimal expansion.