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Question

The decimal expansion of 189/125 will terminate after how many places of decimal?

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Solution

=>189/125

=>(3×3×3×7) / (5×5×5)

we also write like that:-

=>(3×3×3×7×2×2×2)/ (5×2×5×2×5×2)

=>(6×6×6×7)/(10×10×10)

=> (1512)/1000

=>1.512

HENCE,

it will terminate after 3 decimal places.

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