What type of decimal is 0.040040004...?
Answer and explanation
Correct answer: Non terminating and non repeating
The decimal never terminates and has no fixed repeating block: the number of zeros between successive 4s increases (1, 2, 3, ...), so there is no periodic pattern. Therefore it is non-terminating and non-repeating (an irrational-type decimal). Option C is incorrect because a repeating decimal must have a fixed repeating cycle, which this expansion lacks. Exam tip: a decimal is rational only if it terminates or eventually repeats; check for a constant periodic block to decide.
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What is the correct answer to this question?
Non terminating and non repeating
Why is this the correct answer?
The decimal never terminates and has no fixed repeating block: the number of zeros between successive 4s increases (1, 2, 3, ...), so there is no periodic pattern. Therefore it is non-terminating and non-repeating (an irrational-type decimal). Option C is incorrect because a repeating decimal must have a fixed repeating cycle, which this expansion lacks. Exam tip: a decimal is rational only if it terminates or eventually repeats; check for a constant periodic block to decide.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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