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Is the following statement true (T) or false (F)? All whole numbers are natural numbers.

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Question

Is the following statement true (T) or false (F)?

All whole numbers are natural numbers.

True or False
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Solution

This statement is false.

Explanation:

  • All natural numbers are 1, 2, 3, 4, …
  • All whole numbers are 0, 1, 2, 3, 4, …
  • So, whole numbers include 0, but natural numbers do not include 0 (in your syllabus definition). Therefore, 0 is a whole number but not a natural number, so the statement.
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