Properties of integers:
1. Closure property
The operation of addition, subtraction and multiplication on integers will resulting an integers as well.
If a, b and c are integers, so the result of a + b × c is integers as well.
a + b × c ∈ Z
2. Commutative property of addition and multiplication
a + b = b + a
a × b = b × a
3. Associative property of addition and multiplication
(a + b) + c = a + (b + c)
(a × b) × c = a × (b × c)
4. Distributive property
a × (b + c) = (a × b) + (a × c)
a × (b − c) = (a × b) − (a × c)
5. Identity property
a + 0 = a
a × 1 = a