Question

the decimal expansion of the rational number 47/2^5 *5^3 will terminate after how many places of decimal??

Answer 1

Here is your answer

Answer 2

It will terminate after 5 places of decimal. It would be...

= 47/2⁵×5³

= 47×5²/2⁵×5⁵

= 1175/(2×5)⁵

= 1175/100000

= 0.01175
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