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Byju's Answer
Standard IX
Mathematics
Irrational Numbers and Properties of Irrational Numbers
The decimal e...
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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