Mathematics
Grade-8
Easy
Question
.141414141414...
- Rational
- Irrational
- Real
- Fake
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: Rational
GIVEN-
Given number = .141414141414…
TO FIND-
Nature of the given number.
SOLUTION-
We observe that the given number is in the decimal form with non-terminating and recurring last digits i.e. 14.
Hence, the given number is a rational number.
FINAL ANSWER-
Option 'b' i.e. 'Rational' is the correct answer to the given question.
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