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After how many places will the decimal expansion of (\frac{3}{2^5\times5^3}) terminate?
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Answer and explanation
Correct answer: (5)
Step 1: The denominator has only factors (2) and (5). Step 2: The exponent of (2) is (5), and the exponent of (5) is (3), so the larger exponent is (5). Step 3: Exam tip: Think of making the denominator like (10^5).
Frequently asked questions
What is the correct answer to this question?
(5)
Why is this the correct answer?
Step 1: The denominator has only factors (2) and (5). Step 2: The exponent of (2) is (5), and the exponent of (5) is (3), so the larger exponent is (5). Step 3: Exam tip: Think of making the denominator like (10^5).
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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