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Home >> Closure Property >> Subtraction of Whole Numbers >>

## Closure Property (Subtraction of Whole Numbers)

 Addition of Whole Numbers Addition of Integers Subtraction of Whole Numbers Subtraction of Integers Multiplication of Whole Numbers Multiplication of Integers Division of Whole Numbers Division of Integers

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.