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(0.5000\ldots) is equal to?

Answer and explanation

Correct answer: \(\frac{1}{2}\)

In \(0.5000\ldots\), all digits after 5 are zeros, so its value remains \(0.5\). Now, \(0.5=\frac{5}{10}=\frac{1}{2}\); hence \(\frac{1}{2}\) is correct. The close distractor \(\frac{1}{5}\) equals \(0.2\), not \(0.5\). Exam tip: Zeros written at the end of a decimal do not change its value.

Related tags

Real NumbersDecimalsTerminating DecimalsFractionsNumber SystemsDecimal RepresentationMathematicsClass 9 Mcq

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