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The decimal expansion of the rational nu...

The decimal expansion of the rational number ` 43/((2^(4) xx 5^(3))` will termiate after how many places of decimals.

A

`"3 places"`

B

`"5 places"`

C

`"6 places"`

D

`"4 places"`

Text Solution

Verified by Experts

The correct Answer is:
D
We have
`43/(2^(4).5^(3))= (43xx5)/(2^(4)xx5^(4))= 215/((2xx5)^(4))= 215/(10^(4))= 215/(10000)= 0.0215`
So, it will terminate after 4 places of decimals.
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