Additive and Multiplicative Identity of Whole Numbers
Suppose you went to the market with your father.
And, he bought
$12$
candies for you and your sister.
When he came back home, he gave equal candies to both of you.
So you and your sister both got
$6$
candies.
After some time, your sister ate all her candies and was left with zero candy.
Now, you wanted to know the total number of candies left with you two.
So, you added them and to your surprise, the result was equal to the number of candies left with you.
Your sister told you that it is an identity of whole numbers.
Let’s discuss the identities of whole numbers.
Suppose we pick some whole numbers from the number line.
Now, let’s add these numbers with zero.
We can observe that when we add zero to any whole number we get same number as the result.
So we say, zero is the additive identity of whole numbers.
Let’s see multiplication of zero with the whole numbers.
Now, let’s multiply zero with whole numbers and find the result as
Here, we can observe that when we multiply any whole number by zero then it becomes zero.
Now, let’s consider some examples where we multiply whole numbers by
$1$
.
Here, we can observe that the number remains unchanged when it is multiplied by
$1$
So, we can say that
$1$
is multiplicative identity of whole number.
Revision
$0$
is the additive identity of whole numbers.
$1$
is the multiplicative identity of whole numbers.
The End