Identity property — lesson. Mathematics CBSE, Class 7.

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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:

$11 × 1 = 11$

$2 ÷ 1 = 2$ .

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:

$7 + 0 = 7$

$12 - 0 = 12$

Important!

$0$ (zero) is called an additive identity.

$1$ (one) is called a multiplicative identity.

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5. Identity property