### Theory:

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 satisfies the closure property.
The result of the addition and multiplication of any two whole numbers is always a whole number.

Consider $$a$$ and $$b$$ are two whole numbers then:
• The addition $$a + b$$ is a whole number.
• The multiplication $$a × b$$ is also a whole number.
Example:
1 and 9 are two whole numbers then, $1+9=10$ is also a whole number.

5 and 9 are two whole numbers then, $5×9=45$ 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 $a-b$ and $a÷b$ is not always a whole number.
Example:
i) $9-1=8$ is a whole number.

ii) $1-9=-8$ is a negative number, not a whole number.

iii) $\frac{10}{5}=2$ is a whole number.

iv) $\frac{1}{9}=0.111$ 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.