The decimal representation of 11/2³×5 is
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xplanation : The decimal representation of 11/(2³ × 5) ;
multiplying and dividing by 5²,
= 11/(2³ × 5) × (5²/5²)
= (11 × 5²)/(2³ × 5 × 5²)
= (11 × 25)/(2³ × 5³)
[ we know, aⁿ × bⁿ = (ab)ⁿ
so, 2³ × 5³ = (2 × 5)³ = (10)³ ]
= (275)/(10³)
= 275/1000
= 0.275
It will terminate after three decimal place s.
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