Question

lo
rational
The decimal expansion of the number
will terminate after how many
place for
6/125​

Answer 1

${ \huge{ \frac{6}{125} = \frac{6}{5 \times 5 \times 5} = 0.048}}$

Answer 2

Step-by-step explanation:

The terminating decimal expansion form of 2ñ5m

$\frac{1}{ {2}^{n} {5}^{m} }$

so ,

$\frac{6}{125} = \frac{6}{5 {}^{3} } \times \frac{ {2}^{3} }{ {2}^{3} } = \frac{48}{10 {}^{3} } \\ = 0.048$