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What is the recurring part in (0.456456456\ldots)?

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Answer and explanation

Correct answer: 456

After the decimal point, the digits repeat in the order 456, 456, 456. Therefore, the recurring part is 456. The groups 45 and 56 are only parts of the pattern and are not repeated as complete blocks. Exam tip: identify the smallest group of digits that repeats continuously without any change.

Related tags

Number SystemsDecimal RepresentationRecurring DecimalsRepeating BlockClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

456

Why is this the correct answer?

After the decimal point, the digits repeat in the order 456, 456, 456. Therefore, the recurring part is 456. The groups 45 and 56 are only parts of the pattern and are not repeated as complete blocks. Exam tip: identify the smallest group of digits that repeats continuously without any change.

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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