give the reason why a natural number is not closed under subtraction and give an example?
Answers
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.
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.