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Standard X
Mathematics
Terminating and Non-Terminating Decimals
Question

Which of the following are non-terminating numbers?
  1. 513
  2. 25
  3. 23
  4. 715

A
715
B
25
C
23
D
513
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Solution
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Weknowthefactorsofthedenominatorofaterminatingnumberareonly2and5.Ifithasanyothernumberthenitwillbenonterminating.OptionA⟶denominatoris3,thereforeitisnonterminating.OptionB⟶denominatoris3×5thereforeitisnonterminating.OptionC⟶denominatoris5,thereforeitisterminating.OptionD⟶denominatoris13,thereforeitisnonterminating.Answer−OptionA,B,D

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