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Subjects
Class 10MathematicsReal NumbersDecimal expansion of rational numbersHardLevel 19
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If (\frac{m}{56}) has a terminating decimal expansion, which factor must (m) contain?

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Answer and explanation

Correct answer: (7)

Step 1: (56=2^3\cdot 7). Step 2: For a terminating decimal, (7) must not remain in the reduced denominator. Therefore (m) must contain (7). Step 3: Cancel all denominator primes other than (2) and (5).

Related tags

Factor-ConditionTerminating-DecimalPrime-FactorisationReal-Numbers

Frequently asked questions

What is the correct answer to this question?

(7)

Why is this the correct answer?

Step 1: (56=2^3\cdot 7). Step 2: For a terminating decimal, (7) must not remain in the reduced denominator. Therefore (m) must contain (7). Step 3: Cancel all denominator primes other than (2) and (5).

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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