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Class 10MathematicsReal Numbers7: Decimal expansion of rationa numbersMediumLevel 20
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If \(\frac{a}{72}\) reduces to a fraction with denominator (8), what type of decimal expansion will it have?

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Answer and explanation

Correct answer: Terminating

Step 1: After reduction, the denominator is (8). Step 2: Since \(8=2^3\), the denominator has only (2). Step 3: Always make the final decision from the reduced denominator.

Related tags

Reduced DenominatorTerminating DecimalConcept Check

Frequently asked questions

What is the correct answer to this question?

Terminating

Why is this the correct answer?

Step 1: After reduction, the denominator is (8). Step 2: Since \(8=2^3\), the denominator has only (2). Step 3: Always make the final decision from the reduced denominator.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: 7: Decimal expansion of rationa numbers.

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10 more MCQs
  1. 1In Euclid’s Division Lemma, if (a) and (b) are positive integers, which condition is correct for the remainder (r)?
  2. 2If (35=6q+r) and (0 \le r < 6), what are the values of (q) and (r)?
  3. 3Which is the standard form of Euclid’s Division Lemma?
  4. 4If a number leaves remainder (0) when divided by (9), in which form can it be written?
  5. 5What possible remainders can occur when an integer is divided by (5)?
  6. 6What is the remainder when (52) is divided by (7)?
  7. 7Which condition is necessary for (b) in Euclid’s Division Lemma?
  8. 8If (a=17) and (b=4), which is the correct Euclidean form (a=bq+r)?
  9. 9How many possible remainders are there when a number is divided by (3)?
  10. 10If a number is odd, what remainder will it leave when divided by (2)?
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