Identity property — lesson. Mathematics State Board, Class 6.

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Adding

$0$ (zero) and multiplying

$1$ (one) to any whole number will not change the result (or) the sum. This is called the identity property of whole numbers.

Identity property of $0$ (zero):

Identity property of

$0$ (zero) states that any number added or subtracted with

$0$ (zero) remains the same.

Consider

$a$ is a whole number:

$a + 0 = a$ .

$a - 0 = a$ .

Example:

$10 + 0 = 10$ .

ii)

$8 - 0 = 8$ .

Identity property of $1$ (one):

Identity property of

$1$ states that any number multiplied or divided by

$1$ remains the same.

Consider

$a$ is a whole numbers then:

$\begin{array}{l} (a \times 1) = a \\ (a \div 1) = a \end{array}$

Example:

$10 × 1 = 10$

ii)

$10 ÷ 1 = 10$

Remember that

$0$ (zero) is called an additive identity, and

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

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7. Identity property