Closure property means when you perform an operation on any two numbers in a set, the result is another number in the same set or in simple words the set of numbers is closed for that operation.
Additive identity of whole number is defined as the addition of that number to the given whole number which doesn't alter its value mathematically. The additive identity of whole number is zero (0).
The set of real numbers is closed under addition. If you add two real numbers, you will get another real number. There is no possibility of ever getting anything other than a real number. For example: 5 + 10 = 15 , 2.5 + 2.5 = 5 , 2 1 2 + 5 = 7 1 2 , 3 + 2 3 = 3 3 , etc.
Additive identity of whole number is defined as the addition of that number to the given whole number which doesn't alter its value mathematically. The additive identity of whole number is zero (0).
Ing to the Closure Property “Whole numbers are closed under addition and multiplication”. It means, when we add or multiply two whole numbers, then the resulting value is also a whole number.
The whole numbers are closed under addition and the multiplication. If a and b are two whole numbers, is a whole number and a × b is also a whole number. Whole numbers are not closed under subtraction and division. If a and b are two whole numbers, then and a ÷ b is not always a whole number.
The Closure Property: The closure property of a whole number says that when we add two Whole Numbers, the result will always be a whole number. For example, 3 + 4 = 7 (whole number). The Commutative Property: The commutative property of a whole number says that changing the order of addition does not affect the result.
Identity Property This property states that when zero is added to a whole number, the result is the whole number itself. This makes zero the additive identity for the whole numbers. For example, 0 + 8 = 8 = 8 + 0 .