Question

119/ 5³x2²x7 has terminating decimal expanision . find its decimal expanision

Answer 1

Step-by-step explanation:

YES the above fraction has a terminating decimal expansion because on simplyfing ( dividing by 7) the denominators are in the form of

${2}^{m} \times {5}^{n}$

$\frac{119}{ {5}^{3} \times {2}^{2} \times 7 } = \frac{17}{ {5}^{3} \times {2}^{2} }$

$\frac{17}{ {5}^{3} \times {2}^{2} } \times \frac{2}{2} = \frac{34}{ {5}^{3} \times {2}^{3} } = \frac{34}{ {10}^{3} } \\ \\ = \frac{34}{1000} = 0.034$

Thus it's decimal expansion is 0.034