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+1 vote
in Mathematics by (106k points)

The decimal expansion of the rational number 33/22.5 will terminate after

(A) one decimal place
(B) two decimal places
(C) three decimal places
(D) more than 3 decimal places

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1 Answer

+2 votes
by (24.2k points)

Correct answer is (B) two decimal places

by (10 points)
Briefly explains with reason
by (21.3k points)
We have 33/(2^2x 5) = 33x5/(2^2x 5^2) = 165/100 = 1.65

Now if a number is of type, n/(2^a  x 5^b) where n is not a multiple of 2 or 5, then the number of digits after zero in this number will be either a and b, whichever is greater.

Hope it helps! Thanks

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