State 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

The given statement is every rational number is a whole number, we need to check whether it is true or false.
Whole numbers are the set of numbers ranging from 0 to

∞

, containing no fractions.
So, it can be said that whole numbers are the set of all positive integers.
Next, a rational number is the one which can be expressed as a fraction or a ratio of two integers i.e.,

p q

where p and q are both integers and q is non-zero.
Also, rational numbers can either be positive or negative and also a fraction.
For example,

2

is a rational number as well as a whole number, but its reciprocal i.e.,

12

is not a whole number, but only a rational number.
So, we conclude that every rational number can’t be a whole number.
Hence, the given statement is false.
Hence the correct option is (2).

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