Answer :

Final answer:

The fraction 1/25 is a rational number that results in a terminating decimal when expressed as a decimal because its denominator is a power of 5.

Explanation:

The fraction 1/25 is considered a rational number because it can be expressed as the ratio of two integers. In this case, it's the ratio of 1 to 25. When converting this fraction to a decimal, it results in a terminating decimal, meaning the decimal expansion ends after a finite number of digits. This happens because the denominator 25 is a power of 5 (5²). Any fraction with a denominator that is a power of 5, a power of 2, or a combination of both (which is a power of 10), will result in a terminating decimal.

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