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How is (0.0454545\ldots) written in bar notation?

Answer and explanation

Correct answer: \(0.0\overline{45}\)

After the decimal point, the first digit 0 occurs only once. Then 45 repeats as 45, 45, 45. Therefore, the bar is placed only over 45: \(0.0\overline{45}\). Option \(0.\overline{45}\) is incorrect because it starts repeating 45 immediately after the decimal point. Exam tip: identify the non-repeating digits before marking the repeating block with a bar.

Related tags

Number SystemsDecimal RepresentationBar NotationRepeating DecimalsRational NumbersMathematicsClass 9 Mcq

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