The decimal (23.74999\ldots) is equal to which terminating decimal?
Answer and explanation
Correct answer: 23.75
Here, 23.74999\ldots = 23.74 + 0.00999\ldots. Since 0.00999\ldots = 0.01, the value is 23.74 + 0.01 = 23.75. The number 23.749 has only finitely many digits and does not include the effect of the infinitely repeating 9s. Exam tip: An infinite string of 9s after a decimal place can be written by increasing the preceding digit by 1.
Frequently asked questions
What is the correct answer to this question?
23.75
Why is this the correct answer?
Here, 23.74999\ldots = 23.74 + 0.00999\ldots. Since 0.00999\ldots = 0.01, the value is 23.74 + 0.01 = 23.75. The number 23.749 has only finitely many digits and does not include the effect of the infinitely repeating 9s. Exam tip: An infinite string of 9s after a decimal place can be written by increasing the preceding digit by 1.
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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