# Arithmetic properties: Identity property

## All You Need in One PlaceEverything you need for better marks in primary, GCSE, and A-level classes. | ## Learn with ConfidenceWe’ve mastered the UK’s national curriculum so you can study with confidence. | ## Instant and Unlimited Help24/7 access to the best tips, walkthroughs, and practice questions. |

#### Make math click 🤔 and get better grades! 💯Join for Free

0/6

##### 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

0/23

##### 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:

0%