Natural numbers are not closed under subtraction. While subtracting a smaller number from a larger one works, subtracting a larger number from a smaller one, like 3 minus 5, results in a negative value.
We know that Natural Numbers are closed under addition (the sum of any two natural numbers is always a natural number). Are they closed under subtraction? Provide a couple of examples to justify your answer.
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Natural numbers are not closed under the operation of subtraction because the result of subtracting one natural number from another is not always a natural number itself. For instance, subtracting a smaller number from a larger one like 5 minus 2 gives 3, which is a natural number. However, reversing the order to 2 minus 5 results in negative 3. Since negative numbers are integers and not natural numbers, closure does not hold true.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/