The document discusses the six properties of operations on integers: 1) Closure property - the result of any integer operation is also an integer 2) Commutative property of addition - the order of addends does not change the sum 3) Associative property - the grouping of numbers being added does not change the value 4) Distributive property - multiplying the sum/difference of two numbers by a factor equals multiplying each addend and adding/subtracting the products 5) Identity properties of addition and multiplication - adding/multiplying a number by 0/1 respectively equals the original number 6) Inverse properties of addition and multiplication - adding/multiplying a number by its inverse equals 0/1 respectively