Question

Decimal expansion of 120/3^2 5^2

Answer 1

Step-by-step explanation:

Decimal expansion of 120/3^2 5^2

Answer 2

Answer:

3 decimal places.

Step-by-step explanation:

Given : Number

To find : After how many places of decimal will the decimal expansion of number terminate?

Solution :

The prime factorization of numerator and denominator is

Eliminate the 3 from numerator and denominator.

The power of 2 in the denominator gives u the number of decimal terminate.

The power of 2 is

The places of decimal will the decimal expansion is 3 places.