The numbers which have a non-terminating and non-repeating decimal expansion and cannot be represented in the form of $\frac{p}{q}$ ( q is not equal to '0') are known as ___ numbers.

Irrational

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Rational

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Natural

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Whole

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Solution

The correct option is A
Irrational

An irrational number is a real number that cannot be expressed as a ratio of integers, i.e. as a fraction.

Therefore, irrational numbers, when written as decimal numbers, do not terminate, nor do they repeat.

$\sqrt{2}, \sqrt{3}$ are examples of irrational numbers.

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The numbers which have a non-terminating and non-repeating decimal expansion and cannot be represented in the form of pq ( q is not equal to '0') are known as ___ numbers.

The correct option is A Irrational An irrational number is a real number that cannot be expressed as a ratio of integers, i.e. as a fraction. Therefore, irrational numbers, when written as decimal numbers, do not terminate, nor do they repeat. √2, √3 are examples of irrational numbers.

The numbers which have a non-terminating and non-repeating decimal expansion and cannot be represented in the form of $\frac{p}{q}$ ( q is not equal to '0') are known as ___ numbers.