PDF chapter test TRY NOW
The closure property of whole numbers states that while operating addition and multiplication with two or more whole numbers, the result of the operation is also a whole number.
While doing the operation of whole numbers if the result of the operation is a whole number, then we can say that it satisfy the closure property.
The result of the addition and the multiplication of any two whole numbers is always a whole number.
Consider \(a\) and \(b\) are two whole numbers then:
\(a + b\) is a whole number.
\(a × b\) is also a whole number.
Example:
2 and 7 are two whole numbers then, is also a whole number.
3 and 9 are two whole numbers then, is also a whole number.
Important!
The result of the subtraction and division is not always a whole number. If \(a\) and \(b\) are two whole numbers, then and is not always a whole number.
Example:
i) is a whole number.
ii) is a negative number, not a whole number.
iii) is a whole number.
iv) is a decimal number, not a whole number.
Therefore the closure property of whole numbers states that while operating addition and multiplication with two or more whole numbers, the result of the operation is also a whole number.
Register for free to see more content