Question

the decimal expansion of 17 %8 will terminate after how many place of decimal​

Answer 1

Answer:

three places after 17 it will terminate

Answer 2

Answer:

Decimal Expansion terminates after 3 decimal places

Step-by-step explanation:

$\frac{17}{8}\\=\frac{17}{2^{3}}\\=\frac{17\times 5^{3}}{2^{3}\times 5^{3}}=\frac{17\times 125}{(2\times 5 )^{3}}\\=\frac{2125}{10^{3}}\\=\frac{2125}{1000}\\=2.125$

Therefore,

$\frac{17}{8}=2.125$

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