Question

convert the following rational number into decimals without actual division27/2*5^4.​

Answer 1

$Given \: rational \:number \: \frac{27}{2 \times 5^{4}} \\= \frac{27\times 2^{3}}{2\times 2^{3} \times 5^{4}} \\= \frac{27\times 8}{2^{4} \times 5^{4}} \\= \frac{216}{(2\times 5)^{4}} \\= \frac{216}{10^{4}} \\= \frac{216}{10000 } \\= 0.0216$

Therefore.,

$\red{ Decimal \:form \: of \: \frac{27}{2\times 5^{4}} } \green { = 0.0216}$

•••♪