In which fraction will exactly two non-repeating decimal digits appear before the recurring part begins?
Answer and explanation
Correct answer: (\frac{1}{28})
Step 1: View the denominator in terms of (2), (5), and other factors. Step 2: (28=2^2\cdot 7), so the power (2) of (2) gives a delay of two places before the recurring part starts. The other options give a delay of (1) or a different case. Step 3: The delay before repetition is linked to the larger power of (2) and (5).
Frequently asked questions
What is the correct answer to this question?
(\frac{1}{28})
Why is this the correct answer?
Step 1: View the denominator in terms of (2), (5), and other factors. Step 2: (28=2^2\cdot 7), so the power (2) of (2) gives a delay of two places before the recurring part starts. The other options give a delay of (1) or a different case. Step 3: The delay before repetition is linked to the larger power of (2) and (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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