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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.


Study More Solved Questions / Examples

  • Solve the following table and explain what you understand about closure property of subtraction of whole numbers ?

    First two rows are solved, try solving other rows too.

    10 - 7 = 3 It's a whole number
    24 - 74 = -50 It's not a whole number but an integer
    15 - 10 = ?? ??
    35 - 75 = ?? ??
    80 - 100 = ?? ??
    97 - 23 = ?? ??
  • Explain closure property of subtraction of whole numbers by solving the following table:

    189-156=??
    476-989=??
    67-543=??
    8354-3298=??
    88-99=??
  • Whole numbers are not closed under subtraction. Explain how ?
  • Demonstrate how subtraction of whole numbers does not always results in a whole number?
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