The decimal expansion of the rational number 33/(2^2 5) will terminate after
(A)one decimal place
(B) two decimal places
(C) three decimal places
(D) more than 3 decimal places
![Slide2.JPG](https://d1avenlh0i1xmr.cloudfront.net/ddfd17f2-e59c-4077-8788-981a7b5aec8f/slide2.jpg)
MCQs from NCERT Exemplar
MCQs from NCERT Exemplar
Last updated at April 16, 2024 by Teachoo
Question 1 The decimal expansion of the rational number 33/(2^2 5) will terminate after one decimal place (B) two decimal places (C) three decimal places (D) more than 3 decimal places 33/(2^2 5) = 33/(2^2 × 5) × 𝟓/𝟓 = (33 × 5)/((2^2 × 5^2)) = (33 × 5)/(𝟐 × 𝟓)^𝟐 = (33 × 5)/10^2 So, the number will terminate after 2 decimal places ∴ Correct answer is (B)