Question

The decimal expansion of 120/(3257) is (a)Terminating (b)Non-terminating (c)Non-terminating and Non-repeating (d)None of the above

Answer 1

Answer:

(c)

Step-by-step explanation:

because it is not follow rule terminating and it is not only non -terminating

Answer 2

The decimal expansion of  120/3257 is 0.0368... which is a non-terminating  and non repeating decimal expansion.

Given:

The fraction 120/3257 .

To find :

Decimal expansion of the fraction.

Solution:

Consequently, it is clear that any decimal integer can be expressed as a fraction with a base in powers of 10.

Given that the two prime factors of 10 are 2 and 5, and that the prime factorization in q is of the form 2x5y, where x and y are non-negative integers, it is clear that any decimal rational number may be simply expressed in the form of p/q.

When we expand the fraction by using the division method we get :

120/3257 = 0.036843721..

This is non-repeating and the the expansion does not end.

Hence the  decimal expansion is (c)Non-terminating and Non-repeating .

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