Properties of Addition
of Integers

Four Core Properties
➕

Additive Inverse

Every integer has an opposite that sums to zero.

a + (–a) = 0
→
🔁

Commutative

Order of addition doesn't change the sum.

a + b = b + a
→
🔗

Associative

Grouping of integers doesn't affect the result.

(a+b)+c = a+(b+c)
→
🔒

Closure

Sum of any two integers is always an integer.

a + b ∈ ℤ
→
Property
Property Quiz