Question

The decimal expansion of the rational number 43/2^4 5^3 will terminate after how many places of decimals?

Answer 1

$Given \: rational \:number \: \frac{43}{2^{4} 5^{3}}$

$= \frac{43\times 5}{2^{4} 5^{4}}$

$= \frac{215}{(2\times 5)^{4}}$

$= \frac{215}{(10)^{4}}$

$= 0.0215$

Therefore.,

$\red{The\: decimal\: expansion \:of \:the}$

$\red{rational \:number \:\frac{43}{2^4 5^3}\: will}$

$\green{ terminate \:after\: 4\: decimals }$

•••♪