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Class 10MathematicsReal NumbersDecimal expansion of rational numbersMediumLevel 20
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After simplifying (\frac{64}{4000}), after how many decimal places will its decimal expansion terminate?

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Answer and explanation

Correct answer: (3) places

Step 1: (\frac{64}{4000}=\frac{2}{125}). Step 2: Since (125=5^3), the decimal terminates after (3) places. Step 3: Assuming (4) places from (4000) without reducing is a common mistake.

Related tags

Common MistakesReduced DenominatorDecimal Expansion

Frequently asked questions

What is the correct answer to this question?

(3) places

Why is this the correct answer?

Step 1: (\frac{64}{4000}=\frac{2}{125}). Step 2: Since (125=5^3), the decimal terminates after (3) places. Step 3: Assuming (4) places from (4000) without reducing is a common mistake.

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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  7. 7Which of the following fractions will give a terminating decimal?
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