Which one of the following is a correct statement?

Decimal expansion of an irrational number is terminating

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Decimal expansion of an irrational number is repeating.

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Decimal expansion of a rational number is always non-terminating

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Decimal expansion of an irrational number is non-terminating and non-repeating

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Solution

The correct option is D
Decimal expansion of an irrational number is non-terminating and non-repeating

Decimal expansion of an irrational number is non-terminating and non-repeating.

Decimal expansion of rational number is either terminating or non-terminating and recurring. So, option 'C' is false.

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Similar questions

Q. Mark the correct alternative in each of the following:

1. Which one of the following is a correct statement?
(a) Decimal expansion of a rational number is terminating
(b) Decimal expansion of a rational number is non-terminating
(c) Decimal expansion of an irrational number is terminating
(d) Decimal expansion of an irrational number is non-terminating and non-repeating

Q. The decimal expansion of an irrational number is non-terminating and ________.

Q. Is the decimal expansion of irrational numbers always non-termination and not repeating(recurring)?

Q. Is -21/5 an irrational number? If yes/no then, why is the decimal expansion of irrational numbers always non-termination and not repeating(recurring)?

Consider the following three statements.
Statement–1: A number whose decimal expansion is terminating is a rational number.
Statement–2: A number whose decimal expansion is non– terminating recurring is a rational number.
Statement–3: A number whose decimal expansion is terminating non recurring is irrational number.
Which of the following is true?

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