The decimal expansion of the rational number 33/2^2.5 will terminate after
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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3 Answers
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
6 views
Answered
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!
6 views
Answered