Mathematics
Grade-8
Easy
Question
Which of the following is a rational number?
- 3.31662555470256814559347...
- 1.256712549555788823654...
- 0.333333333333...
- 0.14285711428571888326...
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: 0.333333333333...
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. 3.31662555470256814559347...
The given number is a non-terminating, non- recurring decimal.
Hence, option a is an irrational number.
b. 0.333333333333...
The given number is a non-terminating and recurring decimal.
Hence, option b is a rational number.
c. 1.256712549555788823654...
The given number is a non-terminating, non-recurring decimal.
Hence, option c is an irrational number.
d. 0.14285711428571888326...
The given number is a non-terminating, non-recurring decimal.
Hence, option d is an irrational number.
FINAL ANSWER-
Option 'b' i.e. '0.333333333333...' is the correct answer to the given question.
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