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Give the reason why a natural number is not closed under subtraction and give an example? |
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Answer» No, subtraction is not closed on the SET of natural numbers. ONE can define the difference between a and b, a,b∈N in terms of the magnitude of the difference: TAKING the absolute value: |a−b| for a,b∈N, but the problem with "normal subtraction" is that a−b=a+(−b). For example, take any two natural numbers, say 3 and 9. ... 2) Subtraction: Subtraction of two whole or natural numbers does not always result in a whole NUMBER or natural number. For example, take any two natural numbers, say 3 and 9. Now, 3 – 9 = -6. |
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