Math ch1 Int p2

The sum of two integers is always an integer i.e integers are closed under addition

If a and b are integers then a + b is always an integer

• commutative property

• associative property

• existence of additive identity

• existence of additive inverse

• closure property

Two integers can be added in any order i.e addition is commutative for integers

If a and b are any two integers then

a + b = b + a

• associative property

• commutative property

• existence of additive identity

• Existence of additive inverse

Three or more integers can be grouped in any order to find their sum i.e addition is associative for integers

If a,b and c are any three integers then

(a + b) + c = a + (b + c)

• commutative property

• associative property

• Existence of additive identity

• Existence of additive inverse

The sum of any integer and 0 is the integer itself. In other words, 0 is the additive identity for integers

If a is any integer then

a + 0 = 0 + a = a

• commutative property

• Existence of additive identity

• associative property

• Existence of additive inverse

For any integer a, there exists its opposite -a such that their sum is zero i.e

a + (-a) = (-a) + a = 0

• commutative property

• Existence of additive identity

• associative property

• Existence of additive inverse

Additive inverse of -96 is ___

Additive inverse of 0 is ___

|396| is ___

Additive inverse of -3125 is ___

Fill in the blank and identify property

(-3) + (-4) = ___ + (-3)