Question

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

Answer 1

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

$a+(b+c)=(a+b)+c$

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

$a+b=b+a$

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

$a+(-a)=0$

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

$a+0=a$

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 2

Answer:

1.associative property of addition

2.commutative property of addition

3.additive inverse

4.additive identity

Step-by-step explanation: