# Arithmetic properties: Identity property

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##### Intros

###### Lessons

- Introduction to the identity property of addition and multiplication (and properties of zero):
- Showing that $a + 0 = a$
- Why is it called the "identity" property?
- Showing that a × 1 = a
- The general formulas for the identity property
- The three properties of zero involving multiplication and division (a × 0 = 0; 0 ÷ a = 0; and a ÷ 0 = undefined)
- The general formulas for the properties of zero

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##### Examples

###### Lessons

**Additive identity property of 0**

Use the additive identity of 0 to fill in the blanks.**Multiplicative identity property of 1**

Use the multiplicative identity of 1 to fill in the blanks.**Multiplying and dividing using properties of 0**

Use the properties of 0 to fill in the blanks.**Identity properties and all four operations**

What happens to the identity of number 46 when:**Identity properties word problem**

If $a$, $b$ and $c$ are real numbers with secret identities:

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