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Class 10MathematicsReal NumbersDecimal expansion of rational numbersHardLevel 20
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If (\frac{17}{2^2\cdot 5^6}) is written as (\frac{N}{10^6}), what is (N)?

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Answer and explanation

Correct answer: (272)

Step 1: We need (10^6=2^6\cdot 5^6). Step 2: The denominator (2^2\cdot 5^6) lacks (2^4), so multiply numerator and denominator by (16). Thus (N=17\cdot 16=272). Step 3: Multiply by the missing prime power.

Related tags

Powers-Of-10Numerator-AdjustmentDecimal-ConversionHard

Frequently asked questions

What is the correct answer to this question?

(272)

Why is this the correct answer?

Step 1: We need (10^6=2^6\cdot 5^6). Step 2: The denominator (2^2\cdot 5^6) lacks (2^4), so multiply numerator and denominator by (16). Thus (N=17\cdot 16=272). Step 3: Multiply by the missing prime power.

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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  2. 2What type of decimal expansion does (\frac{5}{6}) have?
  3. 3Under what condition does (\frac{p}{q}) have a terminating decimal expansion when the fraction is in lowest form?
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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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