Step: 1

Any number which can be represented in the form of a b or ca b , where a , b and c are integers and b ≠ 0, is a rational number.

Step: 2

A non-terminating and repeating decimal is also a rational number.

Step: 3

[Original number.]

Step: 4

= 33 4

[Convert from a mixed number to an improper fraction.]

Step: 5

= 8.25000

[Simplify.]

Step: 6

So, 8 1 4 is a rational number.

Correct Answer is : Rational

Step: 1

Step: 2

3 is a rational number, but 7 is an irrational number.

Step: 3

So, the product 37 is an irrational number.

Correct Answer is : irrational number

Step: 1

Irrational numbers are real numbers that cannot be expressed as fractions, terminating decimals, or repeating decimals

Step: 2

The value of 3 5 = 0.6.

Step: 3

The value of 2 = 1.41421356 .......

Step: 4

The value of 2 1 0 = 0.2

Step: 5

The value of 2 5 = 5

Step: 6

Among the choices given , only 2 is an irrational number.

Correct Answer is : 2

Step: 1

Irrational numbers are real numbers that cannot be expressed as fractions, terminating decimals, or repeating.

Step: 2

Among the choices, 5 6 = 9.1666...

Step: 3

Step: 4

Step: 5

So, none of the above is the answer.

Correct Answer is : None of the above

Step: 1

Irrational numbers are real numbers that cannot be expressed as fractions, terminating decimals, or repeating decimals

Step: 2

The value of 1 9 6 = 14

Step: 3

The value of 3 8 = 0.375

Step: 4

The value of 1 2 5 = 2.4

Step: 5

The value of 6 5 = 8.062...

Step: 6

Among the choices given, only 6 5 is an irrational number

Correct Answer is : 6 5

Step: 1

A rational number is the ratio of two integers in the form a b , where b ≠ 0.

Step: 2

Natural numbers are {1, 2, 3, ...}.

Step: 3

437.54 is a decimal number and a rational number.

Step: 4

- 25 is a negative rational number.

Step: 5

Step: 6

Step: 7

Amongst the choices, 7 5 3 is the rational number and a natural number.

Correct Answer is : 75 3

Step: 1

An irrrational number is a number which cannot be written as a quotient of two integers.

Step: 2

Step: 3

38 is not a perfect square, so 3 8 cannot be expressed as a quotient of two integers.

Step: 4

And 3 8 = 6.164414002968..., which is a non-terminating and non-repeating decimal.

Step: 5

So, 3 8 is an irrational number.

Correct Answer is : 3 8

Step: 1

- 4.7513... is a non-terminating and a non-repeating decimal number, so it is not a rational number.

Step: 2

- 4 9 = - 7 is a rational number and also an integer.

Step: 3

Step: 4

20.4 = 102 5 is a rational number, but not an integer.

Correct Answer is : 20.4

Step: 1

Step: 2

[36 is a perfect square.]

Step: 3

Step: 4

So, 3 is an irrational number.

Correct Answer is : 3

Step: 1

An irrational number is a non-terminating and non-repeating decimal.

Step: 2

Step: 3

0.98 is a terminating decimal.

Step: 4

Step: 5

Correct Answer is : 1 1

Step: 1

An irrrational number is a number which cannot be written as a quotient of two integers.

Step: 2

Step: 3

38 is not a perfect square, so 3 8 cannot be expressed as a quotient of two integers.

Step: 4

And 3 8 = 6.164414002968..., which is a non-terminating and non-repeating decimal.

Step: 5

So, 3 8 is an irrational number.

Correct Answer is : 3 8

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- Locating Irrational Numbers on a Number Line-Gr 8-Solved Examples

- Irrational Number