Help with identify the property

45x6=(40+5)x(5+6)= I think Assoiative prop. ( is this correct?)

6x1=6 I put identity prop. of 1

4+(6+5)=(4+6)+5= distributive prop.

8+(-8)=0 I put identity prop. of 0

5x4=4x5 I put communtive property

Can you tell me if I have them correct?
Thanks

45x6=(40+5)x(5+1)= I think Assoiative prop. ( is this correct?)

looks like distributive to me . Did you notice the typo ? ≤/b≥

6x1=6 I put identity prop. of 1 ✔

4+(6+5)=(4+6)+5= distributive prop. associative

8+(-8)=0 I put identity prop. of 0 ✔

5x4=4x5 I put communtive property ✔

45x6=(40+5)x(5+1)= I think Assoiative prop. ( is this correct?)

looks like distributive to me . Did you notice the typo ?

6x1=6 I put identity prop. of 1

4+(6+5)=(4+6)+5= distributive prop. associative

8+(-8)=0 I put identity prop. of 0

5x4=4x5 I put communtive property

Yes, you have correctly identified the properties for each equation. Here is a breakdown of each property:

1. 45x6=(40+5)x(5+6) - This is an example of the Associative Property of Multiplication. According to this property, you can change the grouping of the numbers being multiplied without changing the result.

2. 6x1=6 - This is an example of the Identity Property of Multiplication. According to this property, when any number is multiplied by 1, the result is always the original number.

3. 4+(6+5)=(4+6)+5 - This is an example of the Distributive Property. According to this property, when you multiply a sum by a number, you can distribute the multiplication to each term individually.

4. 8+(-8)=0 - This is an example of the Identity Property of Addition. According to this property, the sum of any number and its additive inverse (opposite) is always 0.

5. 5x4=4x5 - This is an example of the Commutative Property of Multiplication. According to this property, the order of the factors in a multiplication equation can be changed without changing the result.

Well done on correctly identifying these properties!