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Which decimal is an example of a non-terminating recurring rational number?

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Answer and explanation

Correct answer: (0.727272\ldots)

Step 1: In (0.727272\ldots), the block (72) repeats. Step 2: A repeating decimal is rational. Step 3: Exam tip: Do not only see that a decimal is long; check whether a fixed pattern repeats.

Related tags

Recurring-BlockRational-DecimalConcept

Frequently asked questions

What is the correct answer to this question?

(0.727272\ldots)

Why is this the correct answer?

Step 1: In (0.727272\ldots), the block (72) repeats. Step 2: A repeating decimal is rational. Step 3: Exam tip: Do not only see that a decimal is long; check whether a fixed pattern repeats.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Decimal expansion of rational numbers.

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