Question

The decimal expansion of the rational number 14/400

will terminate after how many decimal

places​

Answer 1

The decimal expansion of the rational number 43(24×53) will termiate after how many places of decimals. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. So, it will terminate after 4 places of decimals.

Answer 2

Answer:

terminate after 3 places

Step-by-step explanation:

$\frac{14}{400} = \frac{7}{200} \\\\=\frac{7}{2 X 10^{2} } \\\\=\frac{7 X 5}{2 X 10^{2} X 5} \\\\=\frac{35}{10^{3} } \\\\=0.035$

∴ terminate after 3 places