State whether the statement is true or false: Every rational number is a whole number.

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True

False

answer is B.

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Detailed Solution

It is given the statement that every rational number is a whole number.
A rational number is defined as the one which can be expressed in form of

p q

, where p and q are integers and

q ≠ 0

.
Next, a whole number is the set of numbers starting from 0 till infinity. This means that the set of whole numbers does not include any negative numbers.
But a rational number can be either negative, or positive, or zero and this depends on the sign of the numerator and the denominator.
Now, as per the definition of whole numbers, any negative rational number cannot be a whole number.
So, we can conclude that not all rational numbers are whole numbers.
Hence, the given statement is false.
So, the correct option is 2.

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