Question

The decimal
representation of
after many
tion of 14587/
2x5 will terminate after how many
decimal places ?​

Answer 1

Answer:

$→21×5414587</p><p></p><p>Multiply 2³ in numerator and denominator.</p><p></p><p>\to\sf \dfrac{14587}{2^1 \times 5^4} \times \dfrac{2^3}{2^3}→21×5414587×2323</p><p></p><p>\to\sf \dfrac{14587 \times 2^3}{2^1 \times 5^4 \times 2^3}→21×54×2314587×23</p><p></p><p>\to\sf \dfrac{14587 \times 2^3}{ \left(2^1 \times 2^3 \right) \times 5^4 }→(21×23)×5414587×23</p><p></p><p>\to\sf \dfrac{14587 \times 2^3}{ 2^4 \times 5^4 }→24×5414587×23</p><p></p><p>\boxed{\sf{\red{Use \ a^m \times b^m = (ab)^m}}}Use am×bm=(ab)m</p><p></p><p>\to\sf \dfrac{14587 \times 2^3}{ 10^4 }→10414587×23</p><p></p><p>$

Answer 2

Mark as brain list yo bro