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What is the recurring part of (0.034034034\ldots)?

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Answer and explanation

Correct answer: 034

After the decimal point, the digits repeat in the group 0, 3, 4: 034 | 034 | 034 | \ldots. Therefore, the recurring part is 034. It cannot be only 34 because a 0 occurs before every repetition of 34. Exam tip: Split the digits after the decimal point into repeated equal blocks to identify the recurring part.

Related tags

Number SystemsDecimal RepresentationRecurring DecimalsRepeating BlockClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

034

Why is this the correct answer?

After the decimal point, the digits repeat in the group 0, 3, 4: 034 | 034 | 034 | \ldots. Therefore, the recurring part is 034. It cannot be only 34 because a 0 occurs before every repetition of 34. Exam tip: Split the digits after the decimal point into repeated equal blocks to identify the recurring part.

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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