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Class 10MathematicsReal NumbersDecimal expansion of rational numbersHardLevel 21
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If (\frac{7}{2^3\cdot 5^5}) is written as (\frac{N}{10^5}), what is (N)?

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Answer and explanation

Correct answer: (28)

Step 1: We need (10^5=2^5\cdot 5^5). Step 2: The denominator (2^3\cdot 5^5) lacks (2^2). Multiplying numerator and denominator by (4) gives (N=7\cdot 4=28). Step 3: Multiply by the missing part to make the denominator (10^k).

Related tags

Powers-Of-10Numerator-AdjustmentDecimal-ConversionClass-10

Frequently asked questions

What is the correct answer to this question?

(28)

Why is this the correct answer?

Step 1: We need (10^5=2^5\cdot 5^5). Step 2: The denominator (2^3\cdot 5^5) lacks (2^2). Multiplying numerator and denominator by (4) gives (N=7\cdot 4=28). Step 3: Multiply by the missing part to make the denominator (10^k).

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?
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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?
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