Before understanding this topic you must know what are whole numbers ?
Explanation :-
System of whole numbers is not closed under subtraction, this means that the difference of any two whole numbers is not always a whole number. This is known as Closure Property for Subtraction of Whole Numbers
Read the following terms and you can further understand this property
7 - 4 = 3, Result is a whole number.....(1)
18 - 18 = 0, Result is a whole number.....(2)
17 - 2 = 15, Result is a whole number.....(3)
2 - 4 = -2, Result is not a whole number.....(4)
18 - 19 = -1, Result is not a whole number.....(5)
From the above terms (1), (2) and (3), we notice that the difference of whole numbers is also a whole number.
But also from the above terms (4) and (5), we notice that the difference of whole numbers is not a whole number(i.e they are Integers).
Hence, it can be concluded that difference of two whole numbers is not always a whole number.
|
