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Home >> Closure Property >> Addition of Integers >>

Closure Property (Addition 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 Addition of Integers ?

Explanation
Integers are closed under addition which mean that sum of integers will also give integers.

Following examples further explains this property :-

Example 1 = Explain Closure Property under addition with the help of given integers (-8) and 2
Answer = Find the sum of given Integers ;
(-8) + 2 = (-6)
Since (-6) is also an integer we can say that
Integers are closed under addition


Example 2 = Explain Closure Property under addition with the help of given integers 15 and (-10)
Answer = Find the sum of given Integers ;
15 + (-10) = 5
Since (5) is also an integer we can say that
Integers are closed under addition


Example 3 = Explain Closure Property under addition with the help of given integers (-25) and (-20)
Answer = Find the sum of given Integers ;
-25 + (-20) = (-45)
Since (-45) is also an integer we can say that
Integers are closed under addition


Example 4 = Explain Closure Property under addition with the help of given integers 7 and 3
Answer = Find the sum of given Integers ;
7 + 3 = 10
Since 10 is also an integer we can say that
Integers are closed under addition

Study More Solved Questions / Examples

  • Explain closure property for addition of integers for the following

    A) Closure property for addition of integers with variables s and t
    B) Closure property of addition of integers, with a = (-324), b = 67
    C) Closure property of addition of integers, with (-89) and 1000
    D) Closure property of addition of integers, with (-400) and (-588)
    E) Closure property of addition of integers, with (123) and (-300)
    F) If p and q are integers, then (p + q) will also be an integer.
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