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Question
Find after how many places of decimal the decimal form of the number `27/(2^3. 5^4. 3^2)` will terminate.
Solution
`27/(2^3. 5^4. 3^2) = 3/(2^3 . 5^4) = (3xx2)/(2^4 xx 5^4) = (3xx2)/(2xx5)^4 = 6/10^4 = 0.0006`
Therefore, after 4 place of decimal the decimal form of given number will terminate.
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