The decimal expansion of the number -2 is-

The approximate value of √(2)is 1.141421this can be verified by division method.Since √(2) is an irrational number Decimal Expansion of √(2) is Non Terminating ...

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Standard IX

Mathematics

Irrational Numbers

The decimal e...

Question

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

a finite decimals

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$1.41421$

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non-terminating

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non - terminating non- recurring

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Solution

The correct option is D
non - terminating non- recurring

The approximate value of $\sqrt{2}$ is $1.141421$ this can be verified by division method.
Since $\sqrt{2}$ is an irrational number
Decimal Expansion of $\sqrt{2}$ is Non-Terminating non-repeating.
Hence option (D) is the correct option.

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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?

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?

Write down the decimal expansion of the following rational numbers which have terminating decimal expansion:

$\frac{328}{2^{2} \times 5^{3} \times 7^{4}}$

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The decimal expansion of the number 2 is:

The correct option is D non - terminating non- recurringThe approximate value of 2is 1.141421this can be verified by division method.Since 2 is an irrational number Decimal Expansion of 2 is Non-Terminating non-repeating.Hence option (D) is the correct option.

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

The correct option is D
non - terminating non- recurring

The approximate value of $\sqrt{2}$ is $1.141421$ this can be verified by division method.
Since $\sqrt{2}$ is an irrational number
Decimal Expansion of $\sqrt{2}$ is Non-Terminating non-repeating.
Hence option (D) is the correct option.