Question

can any one tell me properties of Integers with examples and laws
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Answer 1

Answer:

1. closure property-If a and b are integers, then (a+b) is an integer.

Thus, a ∈ I, b ∈ I ⇒ (a+b)∈ I.

2.addition is commutative-If a and b are integers, then (a+b)=(b+a).

3. addition is associative-If a, b and c are integers, then (a+b) + c = a+(b+c).

4.existence of additive identity-Clearly,0 is the additive identity in integers, since a+ 0 = 0+a = a for every interger a.

5.existence of additive inverse-For every integer a, there exists an integer - a such that a+(-a)=(-a)+a=0.

Step-by-step explanation:

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