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Class 10MathematicsReal NumbersDecimal expansion of rational numbersEasyLevel 20
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Which statement is correct about the decimal expansion of (\frac{13}{54})?

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Answer and explanation

Correct answer: It will be non-terminating recurring

Step 1: (54=2\times3^3). Step 2: The denominator contains (3), so the decimal will not terminate and will recur because it is rational. Step 3: Any power of (3) in the denominator prevents termination.

Related tags

Real NumbersDenominator 54Recurring DecimalClass 10

Frequently asked questions

What is the correct answer to this question?

It will be non-terminating recurring

Why is this the correct answer?

Step 1: (54=2\times3^3). Step 2: The denominator contains (3), so the decimal will not terminate and will recur because it is rational. Step 3: Any power of (3) in the denominator prevents termination.

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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