# Name the number property illustrated by this equation: 4.78+(2.5+12.66)=4.78+(12.66+2.5) pleaese show your work or explain

distributive property of multiplication

Step-by-step explanation:

Step-by-step explanation:

A + (B + C) = (A + B) + C

associative  property

A + B = B + A

commutative  property

A + (−A) = 0

inverse property

A + 0 = A

identity  property

Step-by-step explanation:

1.associative property of addition

2.commutative property of addition

Step-by-step explanation:

(i) Associative property of addition.

(ii) Commutative property of addition.

(iii) Inverse property of addition.

(iv) Identity property of addition.

Step-by-step explanation:

Associative property of addition: If a, b and c are three number, then

Commutative property of addition: If a and b are two number, then

Inverse property of addition: The sum of a number and its additive inverse (-a) is 0.

Identity property of addition: The sum of a number and identity element 0 is the same number.

By using the above definitions we can say that

(i) A + (B + C) = (A + B) + C is Associative property of addition.

(ii) A + B = B + A is Commutative property of addition.

(iii) A + (−A) = 0 is Inverse property of addition.

(iv) A + 0 = A is Identity property of addition.

(i) Associative property of addition.

(ii) Commutative property of addition.

(iii) Inverse property of addition.

(iv) Identity property of addition.

Step-by-step explanation:

Associative property of addition: If a, b and c are three number, then

Commutative property of addition: If a and b are two number, then

Inverse property of addition: The sum of a number and its additive inverse (-a) is 0.

Identity property of addition: The sum of a number and identity element 0 is the same number.

By using the above definitions we can say that

(i) A + (B + C) = (A + B) + C is Associative property of addition.

(ii) A + B = B + A is Commutative property of addition.

(iii) A + (−A) = 0 is Inverse property of addition.

(iv) A + 0 = A is Identity property of addition.

9. Commutative Law,  11. Multiplicative Identity Property, 13. Distributive Law, 15. Inverse Property of Addition, 17. Commutative Law, 19. Distributive property (?)
Good luck, hope this helps!!
1) associative
2) commutative
3)?
4) identity
This is an example of the commutative property because when you are movign the parenthesis, then you are using this property. It is still the same problem, only changing where the parenthesis are.
This is the commutative property of addition

This property is the idea of adding any two numbers in any order you want. For example: 2+3 = 3+2 = 5

In this problem, we have 2.5+12.66 the same as 12.66+2.5

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