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Closure Property of Addition for Integers Addition of any two integers results in an integer only. We can represent it as a + b = Z, where a and b are any two integers, and Z is the integer set. For example, ?5+3=?2, here all three numbers are integers.
Closure property holds for addition and multiplication of whole numbers. Closure property of whole numbers under addition: The sum of any two whole numbers will always be a whole number, i.e. if a and b are any two whole numbers, a + b will be a whole number.
Closure property for addition states that when we add two natural numbers, we always get a natural number. The same is true for whole numbers, integers, fractions, and decimals. The above example shows that the sum of two natural numbers is always a natural number.
Closure Property When a and b are two natural numbers, a+b is also a natural number. For example, 2+3=5, 6+7=13, and similarly, all the resultants are natural numbers.
Closure property For two rational numbers say x and y the results of addition, subtraction and multiplication operations give a rational number. We can say that rational numbers are closed under addition, subtraction and multiplication. For example: (7/6)+(2/5) = 47/30.