Question

without the long division method state whether the following rational numbers will have a terminating decimal expansion or non-terminating repeating decimal expansion
1). 12/625

Answer 1

Answer:

Here is your answer

$\frac{12}{625}$

$\frac{12}{{5}^{4}}$

If the denominator contain either 2 or 5 or both in the prime factorization then it is terminating decimal .

If the denominator doesn't contain either 2 or 5 then it is called as non-terminating recurring decimal .

Here , the value of $\frac{12}{625}$ is 0.00192 which is terminating decimal .