Mathematics
Grade-8
Easy
Question
Which number is rational?
- Square root of 5
- 0.12131415
- Pi
Hint:
Terminate decimal refers to a decimal with a finite number of digits after the decimal point.
A recurring decimal refers to a decimal with a repeated digit or digits at the end after the decimal point.
Rational numbers refer to those numbers that can be represented as a simple fraction and can be either a whole number, a terminating decimal or a non terminating recurring decimal.
Irrational numbers refer to those numbers that cannot be represented as a simple fraction and are non-terminating non-recurring decimal.
The correct answer is:
TO FIND-
Irrational number from the given options.
SOLUTION-
From the given options, to find the irrational number, we find the option that is a non-terminating, non-recurring decimal.
a. √5 = 2.236.................
Using Long division method, we find the square root of 5. (Refer image attached below).
The given number is a non-terminating, non-recurring decimal.
Hence, option a is an irrational number.
b. Pi = 22/7 = 3.142857143.....................
The given number is a Non-terminating, non-recurring decimal.
Hence, option b is an irrational number.
c. 2/3 = 0.666666666666666..........
The given number is a non-terminating, recurring decimal.
Hence, option c is a rational number.
d. 0.12131415
The given number is a non-terminating, non-recurring decimal.
Hence, option d is an irrational number.
FINAL ANSWER-
Option 'c' i.e. '2/94' is the correct answer to the given question.
Related Questions to study
Mathematics
Which of the following numbers is rational?
Which of the following numbers is rational?
MathematicsGrade-8
Mathematics
Which of the following numbers are an irrational?
Which of the following numbers are an irrational?
MathematicsGrade-8
Mathematics
Which of the following is a rational number?
Which of the following is a rational number?
MathematicsGrade-8
Mathematics
.141414141414...
.141414141414...
MathematicsGrade-8
Mathematics
MathematicsGrade-8
Mathematics
In between what two integers is the square root of 44?
In between what two integers is the square root of 44?
MathematicsGrade-8
Mathematics
Between which two integers does the square root of 12 fall?
Between which two integers does the square root of 12 fall?
MathematicsGrade-8
Mathematics
Identify the irrational among the given numbers
Identify the irrational among the given numbers
MathematicsGrade-8
Mathematics
MathematicsGrade-8
Mathematics
Identify the irrational among the given numbers
Identify the irrational among the given numbers
MathematicsGrade-8
Mathematics
A rational number between 
and 
A rational number between and
MathematicsGrade-8
Mathematics
The decimal expansion of an irrational number may be
The decimal expansion of an irrational number may be
MathematicsGrade-8
Mathematics
The product of a rational and an irrational number is
The product of a rational and an irrational number is
MathematicsGrade-8
Mathematics
The number 1.101001000100001... is
The number 1.101001000100001... is
MathematicsGrade-8
Mathematics_Naplan
Which place-value model shows 903?
Which place-value model shows 903?
Mathematics_NaplanGrade-3
