The decimal representation of 11/2^3*5 will
a) terminate after 1 decimal place
b) terminate after 2 decimal places
c) terminate after 3 decimal places
d) not terminate
Answers
Answered by
311
Answer:
11/2^3*5
11/8*5 (2*2*2=8)
11/40
0.275 ans
So,option (c)terminate after 3decimal place
Step-by-step explanation:
Answered by
273
answer : option (c) terminate after 3 decimal places.
explanation : 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
here it is clear that, decimal representation of 11/(2³ × 5) will terminate after 3 decimal places.
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