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Which of the following is the correct way to write \(5.4\bar{12}\)?(a) 5.412412412…(b) 5.4121212…(c) -5.412(d) 5.4 – 12I got this question in an internship interview.Question is from Real Numbers and their Decimal Expansions topic in portion Number Systems of Mathematics – Class 9

Answer»

Right option is (B) 5.4121212…

The best I can explain: Bar SIGN is USED to SHOW the blocks of numbers which are repeated. Here, the sign of ‘bar’ ( ̅ )is only over two numbers, 1 and 2 which means block of these two numbers is repeated INFINITE times. There is no sign of bar over ‘4’ which shows that ‘4’ is not repeated.



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