What is the repeating part in (5.1333\ldots)?
Answer and explanation
Correct answer: \(3\)
In 5.1333..., the digit 1 occurs once after the decimal point, and then 3 repeats forever. Therefore, the smallest repeating part is \(3\). Although \(33\) may appear as a repeated group, the repeating block is taken in its shortest form, which is \(3\). Exam tip: identify the shortest digit or group of digits that repeats continuously in a recurring decimal.
Frequently asked questions
What is the correct answer to this question?
\(3\)
Why is this the correct answer?
In 5.1333..., the digit 1 occurs once after the decimal point, and then 3 repeats forever. Therefore, the smallest repeating part is \(3\). Although \(33\) may appear as a repeated group, the repeating block is taken in its shortest form, which is \(3\). Exam tip: identify the shortest digit or group of digits that repeats continuously in a recurring decimal.
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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