If (\frac{p}{q}) is in lowest form and (q=2^m5^n\cdot 13), what is the correct statement about its decimal expansion?
Answer and explanation
Correct answer: It will be non-terminating recurring
Step 1: The reduced denominator contains the factor (13). Step 2: If a rational number's reduced denominator has a prime other than (2) and (5), its decimal is non-terminating recurring. Step 3: Whatever (m) and (n) are, the remaining (13) prevents termination.
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What is the correct answer to this question?
It will be non-terminating recurring
Why is this the correct answer?
Step 1: The reduced denominator contains the factor (13). Step 2: If a rational number's reduced denominator has a prime other than (2) and (5), its decimal is non-terminating recurring. Step 3: Whatever (m) and (n) are, the remaining (13) prevents termination.
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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