The decimal (5.74999\ldots) is equal to which terminating decimal?
Answer and explanation
Correct answer: 5.75
The correct answer is 5.75. Since 0.00999\ldots = 0.01, we get 5.74999\ldots = 5.74 + 0.00999\ldots = 5.75. The number 5.749 simply stops after three decimal places, whereas the given decimal has infinitely repeating 9s. Exam tip: when infinitely many 9s follow a digit, the decimal can be written by increasing the preceding place by 1.
Frequently asked questions
What is the correct answer to this question?
5.75
Why is this the correct answer?
The correct answer is 5.75. Since 0.00999\ldots = 0.01, we get 5.74999\ldots = 5.74 + 0.00999\ldots = 5.75. The number 5.749 simply stops after three decimal places, whereas the given decimal has infinitely repeating 9s. Exam tip: when infinitely many 9s follow a digit, the decimal can be written by increasing the preceding place 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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