The decimal (19.874999\ldots) is equal to which terminating decimal?
Answer and explanation
Correct answer: 19.875
In 19.874999\ldots, infinitely many 9s occur after 4. Since \(0.004999\ldots=0.005\), we get \(19.874999\ldots=19.875\). Option 19.874 is only a truncation of the decimal, so it is not equal to the given number. Exam tip: when infinitely many 9s follow a digit, rewrite the decimal by increasing the preceding finite part appropriately.
Frequently asked questions
What is the correct answer to this question?
19.875
Why is this the correct answer?
In 19.874999\ldots, infinitely many 9s occur after 4. Since \(0.004999\ldots=0.005\), we get \(19.874999\ldots=19.875\). Option 19.874 is only a truncation of the decimal, so it is not equal to the given number. Exam tip: when infinitely many 9s follow a digit, rewrite the decimal by increasing the preceding finite part appropriately.
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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