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Class 10MathematicsReal NumbersDecimal expansion of rational numbersHardLevel 20
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If the denominator of a reduced fraction is (2^4\cdot 5^2), how many decimal places will its decimal expansion have?

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Answer and explanation

Correct answer: (4)

Step 1: The denominator has power (4) of (2) and power (2) of (5). Step 2: Decimal places in a terminating decimal equal the larger exponent, which is (4). Step 3: If the denominator is already reduced, do not assume further cancellation.

Related tags

Decimal-PlacesTerminating-DecimalLowest-FormReal-Numbers

Frequently asked questions

What is the correct answer to this question?

(4)

Why is this the correct answer?

Step 1: The denominator has power (4) of (2) and power (2) of (5). Step 2: Decimal places in a terminating decimal equal the larger exponent, which is (4). Step 3: If the denominator is already reduced, do not assume further cancellation.

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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  4. 4After reducing (\frac{15}{40}), what type of decimal expansion will it have?
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  7. 7Which of the following fractions will give a terminating decimal?
  8. 8Which of the following fractions will give a non-terminating recurring decimal?
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