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
CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard
Last updated at April 16, 2024 by Teachoo
Question 1 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 11/(2^3 × 5) = 11/(2^3 × 5) × 5^2/5^2 = (11 × 5^2)/((2^3 × 5^3)) = (11 × 25)/(2 × 5)^3 = (11 × 25)/(10)^3 So, the number will terminate after 3 decimal places ∴ C is the correct answer