Which of the following is an irrational number? 1.66666666666666…, 0.02002000200002…, 0.142857142857, None of these
Answer: 0.02002000200002…
Explanation
Let's analyze the options:
- 1.66666666666666…: This is a repeating decimal, which means it's a rational number (can be expressed as a fraction, 5/3).
- 0.02002000200002…: This appears to be a non-repeating, non-terminating decimal, which is a characteristic of irrational numbers.
- 0.142857142857: This is a repeating decimal, which means it's a rational number (can be expressed as a fraction, 1/7).
Based on the analysis, the answer is 0.02002000200002….
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