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.