Question

after how many decimals places the decimal expansion of 143/5^3×2^2 will terminates​

Answer 1

Answer:

The decimal expansion will terminate after three places.

Step-by-step explanation:

The given fraction is $\frac{143}{5^{3}x2^{2} }$

$\frac{143}{5^{3}x2^{2} } = \frac{143}{5^{3}x2^{2} } (\frac{2}{2} )$

$= \frac{286}{5^{3}2^{3}}$

$= \frac{286}{10^{3} }$

= 0.286

Hence, the decimal expansion will terminate after 3 decimal places.