### Theory:

Adding $$0$$ (zero) and multiplying $$1$$ (one) to any integer will not change the result (or) the sum. This is called the identity property of integers.
Identity property of $$1$$:
Identity property of $$1$$ (one) says that any number multiplied (or) divided by $$1$$ (one) remains the same.
It can be represented as,
$$a × 1 = a$$
$$a ÷ 1 = a$$.
Example:
1. $$11 × 1 = 11$$

2. $$2 ÷ 1 = 2$$.
Identity property of $$0$$:
Identity property of $$0$$ (zero) says that any number added or subtracted with $$0$$ (zero) remains the same.
It can be represented as,
$$a + 0 = a$$
$$a - 0 = a$$.
Example:
1. $$7 + 0 = 7$$

2. $$12 - 0 = 12$$
Important!
$$0$$ (zero) is called an additive identity.
$$1$$ (one) is called a multiplicative identity.