Question
Which of the following is a rational number?
Answer: Option D
:
D
A rational numbercan be written in the form of pq where p and q are integers and q is not equal to zero. Rational numbers have their decimal expansions as either terminating or non-terminating but recurring.
π = 3.14159265358..., i.e., the digits after decimal point do not terminate and not recurring. Hence it is not rational
√2 is approximated to 1.414213562373095..., i.e., it cannot be expressed as a recurring and non-terminating decimal and henceis not rational.
20 is not defined and for a rational number, the denominator should be non-zero.
4.8 on the other hand, satisfiesall the properties of rational numbers.
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:
D
A rational numbercan be written in the form of pq where p and q are integers and q is not equal to zero. Rational numbers have their decimal expansions as either terminating or non-terminating but recurring.
π = 3.14159265358..., i.e., the digits after decimal point do not terminate and not recurring. Hence it is not rational
√2 is approximated to 1.414213562373095..., i.e., it cannot be expressed as a recurring and non-terminating decimal and henceis not rational.
20 is not defined and for a rational number, the denominator should be non-zero.
4.8 on the other hand, satisfiesall the properties of rational numbers.
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