Question

# Which of the following is/are a rational number? 4.8

Solution

## The correct options are B D 4.8 A rational number is a number which can be written in the form of pq where p and q are Integers, q is not equal to zero. A number is also said to be rational if the decimal expansion is either terminating or non-terminating and recurring in nature. The Value of π is 3.14159265358... the digits do not terminate nor recur and hence it is not rational. √2=1.414213562373095..., the digits again are not recurring and non-terminating. So, it is not rational. 20 is not defined. For a rational number, the denominator should be non-zero always. But, 4.8 and 23 satisfy all the properties of a rational number as it is equal to 4810 and 23 respectively.

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