Question

After how many places of decimal, the decimal expansion of the rational number 7/400 will terminate ​

Answer 1

Answer:

terminate after 4 places

Step-by-step explanation:

$\frac{7}{400} = \frac{7}{2^{2} X 100 } \\\\\\=\frac{7 X 5^{2} }{2^{2} X 100 X 5^{2} } \\\\=\frac{175}{10^{4} } \\\\=0.0175$

∴  terminate after 4 places