Question

The decimal expansion of 7/125 will terminate after how many places of decimal?

Answer 1

Answer:

The decimal expansion of 7/125 will terminate after 3 decimal places.

Step-by-step explanation:

$\frac{7}{125}\\=\frac{7}{5^{3}}\\=\frac{7\times 2^{3}}{5^{3}\times 2^{3}}\\=\frac{7\times 8}{(5\times 2)^{3}}\\=\frac{56}{(10)^{3}}\\=\frac{56}{1000}\\=0.056$

Therefore,

The decimal expansion of 7/125 will terminate after 3 decimal places.

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Answer 2

the decimal expansion of 7 by 125 will terminate after how many place of decimal

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