In the problem regarding values of 'a', which values satisfy the condition imposed on the decimal expansion?

To understand why the choice indicating that both 2 and 4 satisfy the condition imposed on the decimal expansion is correct, we must first consider what the condition likely entails regarding the values of 'a'.

In the context of decimal expansion, a common condition may involve the representation of certain numbers in decimal form, such as periodic versus non-periodic decimals, or conditions surrounding divisibility or certain properties of the numbers.

For example, if the condition refers to the decimal expansion being terminating, it is essential to recognize that fractions where the denominator consists solely of the prime factors 2 and 5 will have terminating decimal expansions. Therefore, numbers that originated from fractions where 'a' relates to these prime factors would lead to a terminating decimal.

In this case, both the values 2 and 4 can produce fractions that result in terminating decimal expansions since both are either solely made up of the prime factor 2 or can be expressed in terms of powers of 2 (as 4 is (2^2)).

The choice including both 2 and 4 correctly reflects the numerical properties that align with the conditions of the decimal expansion, further supporting why they satisfy the requirements of the posed problem. This connection allows for assurance that these values adhere