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Home >> Closure Property >> Subtraction of Integers >>

Closure Property (Subtraction of Integers)

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 is Subtraction of Integers ?

Explanation
Integers are closed under Subtraction which mean that subtraction of integers will also give integers.

Following examples further explains this property :-

Example 1 = Explain Closure Property under subtraction with the help of given integers 10 and 5
Answer = Find the difference of given Integers ;
10 - 5 = 5
Since 5 is also an integer we can say that
Integers are closed under subtraction


Example 2 = Explain Closure Property under subtraction with the help of given integers 7 and 20
Answer = Find the difference of given Integers ;
7 - 20 = -13
Since (-13) is also an integer we can say that
Integers are closed under subtraction


Example 3 = Explain Closure Property under subtraction with the help of given integers (-50) and (-20)
Answer = Find the difference of given Integers ;
(-50) - (-20) = (-30)
Since (-30) is also an integer we can say that
Integers are closed under subtraction


Example 4 = Explain Closure Property under subtraction with the help of given integers 10 and (-3)
Answer = Find the difference of given Integers ;
10 - (-3) = 13
Since 13 is also an integer we can say that
Integers are closed under subtraction



Study More Solved Questions / Examples

  • Explain closure property of subtraction of integers, with variables x and y.
  • Prove Closure property of subtraction of integers, with integers x = 24, y = 89.
  • Prove, if a and b are integers, then (a - b) will also be an integer.
  • Observe the following table.

    10 - 9 = 1 It's a positive integers
    -67 - 90 = ?? ??
    -100 - -245 = ?? ??
    85 - -543 = ?? ??
    23 - 54 = ?? ??


    First row is solved; try solving all the other rows in similar manner.

    What do you understand by studying the entire table?
  • Prove Closure property of subtraction of integers, with the help of two positive integers.
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