Closure property of whole numbers
The milkman delivers
$3$
Litres of milk in Mr Kapoor's house.
He then goes to Mr Mishra's house to deliver
$4$
litres of milk.
$3$
and
$4$
are Natural numbers.
Counting numbers like 1, 2, 3.... are called natural numbers.
Whole numbers are the combination of natural numbers and zero.
So we can say that 3 and 4 are Whole Numbers.
Here, the sum of the two whole numbers
$3$
+
$4$
=
$7$
is also a whole number.
Let's add a few other whole numbers. We observe that their sum is also a whole number.
So, we can say that adding two whole numbers always gives a whole number.
Letâ€™s study more about this property of whole numbers.
Addition of two whole numbers is always a whole number......
....This property of whole numbers is called the Closure property of whole numbers.
So, we can say that whole numbers are closed under Addition.
Let's check the closure property on subtraction of whole numbers.
We get that, on subtracting two whole numbers, we may not always get a whole number.
So, we see that subtraction does not satisfy the closure property in whole numbers.
Now let us check the closure property of whole numbers under multiplication.
The product of whole numbers is always a whole number.
So, multiplication satisfies closure property in whole number.
Let us check the closure property for whole numbers under Division.
When we divide a whole number by another, we do not always get a whole number.
Hence, we get that division does not satisfy the closure property in whole numbers.
Revision
Adding two whole numbers always gives a whole number. This is called the Closure property.
Whole numbers are closed under Addition.
The End