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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. Example: 12 + 0 = 12. 9 + 7 = 16.
Whole number are closed under Addition and under multiplication.
Whole numbers are not closed under subtraction operation because when any two whole numbers are considered and from them one is subtracted from the other, the difference so obtained is not necessarily a whole number. Eg. 2−5=−3.
Two whole numbers add up to give another whole number. This is the closure property of the whole numbers. It means that the whole numbers are closed under addition. If a and b are two whole numbers and a + b = c, then c is also a whole number.
Closure properties say that a set of numbers is closed under a certain operation if and when that operation is performed on numbers from the set, we will get another number from that set back out. Real numbers are closed under addition and multiplication.
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: If we multiply two Whole Numbers, we get a whole number as a result. For example, 10 × 5 = 50 (whole number). Commutative Property: If we change the order of multiplication, the product will remain the same.
Irrational numbers are not closed under addition, subtraction, multiplication, and division.