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Performing an operation, such as addition, subtraction, multiplication or division, on any two integers and the result will always be an integer. This property of integers is known as
Closure properties of integers:
Addition :
If a and b are two integers, then $a+b$ will also be an integer.
Subtraction :
If a and b are two integers, then $a-b$ will also be an integer.
Multiplication :
If a and b are two integers, then $a\times b$ will also be an integer.
Closure property of integers under division:
A set of integers is not closed under division, because the division of two integers is not always an integer.
Example :
$5\div 2 = 2.5$
Here, 5 and 2 are integers. But 2.5 is not an integer.
The given property is closure property.
Updated on: 10-Oct-2022
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