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Question
Without actual division, find the following rational numbers have terminating decimal expansion
`219/2200`
Sum
Solution
`219/2200 = 219/(2^3 xx 5^2 xx 11)` ...(It is not in the form of `"P"/(2^"m" xx 5^"n")`)
∴ `219/2200` has non-terminating recurring decimal expression.
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Conversion of Non-terminating and Recurring Decimals into Rational Numbers
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Chapter 2: Real Numbers - Exercise 2.2 [Page 52]