Which statement is correct for the decimal expansion of (\frac{p}{q}), when (\frac{p}{q}) is in lowest form?
Answer and explanation
Correct answer: If (q=2^m5^n), the decimal will terminate
Step 1: The rule applies to the denominator in lowest form. Step 2: If (q=2^m5^n), the denominator has only (2) and (5), so the decimal terminates. The other statements are incomplete because (q) may contain other prime factors. Step 3: Be careful with words like always and never.
Frequently asked questions
What is the correct answer to this question?
If (q=2^m5^n), the decimal will terminate
Why is this the correct answer?
Step 1: The rule applies to the denominator in lowest form. Step 2: If (q=2^m5^n), the denominator has only (2) and (5), so the decimal terminates. The other statements are incomplete because (q) may contain other prime factors. Step 3: Be careful with words like always and never.
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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