the decimal expansion of 189/125 will terminate after how many places.
Answers
Answered by
336
HELLO DEAR,
=>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.
I HOPE ITS HELP YOU DEAR,
THANKS
=>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.
I HOPE ITS HELP YOU DEAR,
THANKS
Answered by
56
189/125=3×3×3*7/5*5*5
we will also write that
3^3×7×2^3/2^3×5^3
so,after 3 places of decimal
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