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State whether the following statement is true or false. Give reason.
Every whole number is a natural number. ___
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Question

State whether the following statement is true or false. Give reason.
Every whole number is a natural number. ___

Answer

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Solution

As we know, the natural number contains all positive integers starting from \(1\) to infinity.Thus, natural numbers are \(1, 2, 3, 4, 5…………….. \)and so on.
And, whole numbers contain all positive integers starting from \(0 \)to infinity.Thus, whole number is \(0, 1, 2, 3, 4, 5………………\) and so on. We can see \(0\) is the whole number but not the natural number.
Now, we can say a natural number contains all whole numbers except zero\((0)\). So, natural numbers cannot contain all whole numbers. Thus,it is false that every whole number is a natural number.
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