Operations on Integers
Properties of Addition and Subtraction of Integers
- Closure under Addition
- a + b and a – b are integers, where a and b are any integers.
- Commutativity Property
- a + b = b + a for all integers a and b.
- Associativity of Addition
- (a + b) + c = a + (b + c) for all integers a, b and c.
- Additive Identity
- Additive Identity is 0, because adding 0 to a number leaves it unchanged.
- a + 0 = 0 + a = a for every integer a.