Name the addition property illustrated by each of the following examples:

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

A + B = B + A property

A + (−A) = 0 property

A + 0 = A property

Respuesta :

Answer:

(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

[tex]a+(b+c)=(a+b)+c[/tex]

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

[tex]a+b=b+a[/tex]

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

[tex]a+(-a)=0[/tex]

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

[tex]a+0=a[/tex]

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.

Answer:

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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