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Question
Are the following statement true or false ? Give reason for your answer.
- Every whole number is a natural number.
- Every whole number is a rational number.
- Every integer is a rational number.
- Every rational number is a whole number.
Solution
i) False, zero is a whole number but not a natural number.
ii) True, Every whole can be written in the form of, where p and q are integers and q ≠ 0.
iii) True, Every integer can be written in the form of, where p and q are integers and q ≠ 0.
iv) False, Every rational number is may or may not be a whole number.
Let us consider some rational numbers,
`1/4, 2/4, 4/4……..`
If you consider
`4/4 = 1`
It is a whole number.
If you consider
`2/4 = 0.5`
It is not a whole number.
So, every rational number is may or may not be a whole number but every whole number is a rational number.
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