The decimal expansion of the number -2 is -

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Standard IX

Mathematics

Decimal Expansion of Rational and Irrational Numbers

The decimal e...

Question

The decimal expansion of the number $\sqrt{2}$ is _______?

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Solution

The approx value of $\sqrt{2}$ is $1.141421$
Since $\sqrt{2}$ is an irrational number
Hence Decimal Expansion of $\sqrt{2}$ is Non-Terminating and non-repeating.

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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 the number

\sqrt{2}

is?

The decimal expansion of the number $\sqrt{2}$ is:

Q. Without actually performing the long division, state whether the following rational numbers will have terminating decimal expansion or a non-terminating repeating decimal expansion. Also, find the numbers of places of decimals after which the decimal expansion terminates.

\frac{23}{2^{3} 5^{2}}

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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The decimal expansion of the number 2 is _______?

The approx value of 2is 1.141421Since 2 is an irrational numberHence Decimal Expansion of 2 is Non-Terminating and non-repeating.

The decimal expansion of the number $\sqrt{2}$ is _______?

The approx value of $\sqrt{2}$ is $1.141421$
Since $\sqrt{2}$ is an irrational number
Hence Decimal Expansion of $\sqrt{2}$ is Non-Terminating and non-repeating.