The decimal (2.3999\ldots) is equal to which terminating decimal?
Answer and explanation
Correct answer: 2.4
Separate the repeating part: \(0.0999\ldots = 0.1\). Therefore, \(2.3999\ldots = 2.3 + 0.0999\ldots = 2.4\). The option 2.399 has only three 9s, whereas the question has infinitely many 9s. Exam tip: Replace an infinite tail of 9s by an increase of 1 in the preceding decimal place.
Frequently asked questions
What is the correct answer to this question?
2.4
Why is this the correct answer?
Separate the repeating part: \(0.0999\ldots = 0.1\). Therefore, \(2.3999\ldots = 2.3 + 0.0999\ldots = 2.4\). The option 2.399 has only three 9s, whereas the question has infinitely many 9s. Exam tip: Replace an infinite tail of 9s by an increase of 1 in the preceding decimal place.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
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