Question

write the decimal expansion of 1717/2^2×5^3 without actual division

Answer 1

terminated ... decimal

because it is dived by 2²*5³

Answer 2

Answer: The decimal expansion of above expression is 3.434.

Step-by-step explanation:

Since we have given that

$\frac{1717}{2^2\times5^3}$

we need to write the decimal expansion:

$\frac{1717}{2^2\times5^3}\\\\=\frac{1717}{(2\times 5)^2\times 5}\\\\=\frac{1717}{10^2\times 5}\\\\=\frac{1717}{100\times 5}\\\\=\frac{17.17}{5}\\\\=3.434$

Hence, the decimal expansion of above expression is 3.434.