Mathematics
Grade-8
Easy
Question
Which of the following numbers is rational?
- 1
- -6
- All of above are rational
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: All of above are rational
GIVEN-
N1 = -6
N2 = 1
N3 = 3 1/2
TO FIND-
Rational number from the given options.
SOLUTION-
We know that-
N1 = -6 is an integer.
Hence, it is a rational number.
N2 = 1 is a whole number.
Hence, it is a rational number.
N3 = 3 1/2 = [(3*2) + 1]/2 = (6+1)/2 = 7/2 = 3.5.
3.5 is a terminating decimal.
Hence, it is a rational number.
FINAL ANSWER-
Option 'c' i.e. 'All of above are rational' is the correct answer to the given question.
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