The document discusses properties of integers. It states that integers are closed under addition, subtraction, and multiplication but not division. Integers are commutative under addition and multiplication but not subtraction or division. They are associative under addition and multiplication but not subtraction or division. Multiplication distributes over addition for integers. It also discusses the relationships between natural numbers, whole numbers, and integers on a number line. The properties of positive and negative integers under multiplication, division, and order of operations are described. Basic properties like 0 being the additive identity and 1 being the multiplicative identity are also stated.