Watch out Properties of integers with Mathematical Division

Mathematical Division of integers is neither commutative nor associative. 
Mathematical Division of integers can be represented as following

a / b != b / a

(a / b) / c != a / (b / c)

Justifying commutative property of mathematical Division of integers

a / b != b / a

If a = 4 and b = 2

Then 4 / 2 = 2 and 2 / 4 = 0.5

So, 4 / 2 != 2 / 4 as 2 != 0.5

Justifying associative property of mathematical Division of integers

(a / b) / c != a / (b / c)

If a = 4, b = 2 and c = 8

Then (4 / 2) / 8 = 0.25 and 4 / (2 / 8) = 16

So, (4 / 2) / 8 != 4 / (2 / 8) as 0.25 != 16

Watch out Properties of integers with Mathematical Subtraction

Mathematical subtraction of integers is neither commutative nor associative. 
Mathematical subtraction of integers can be represented as following

a - b != b - a

(a - b) - c != a - (b - c)

Justifying commutative property of mathematical subtraction of integers

a - b != b - a

If a = 5 and b = 3

Then 5 - 3 = 2 and 3 - 5 = (-2)

So, 5 - 3 != 3 - 5 as 2 != (-2)

Justifying associative property of mathematical subtraction of integers

(a - b) - c != a - (b - c)

If a = 5, b = 3 and c = 7

Then (5 - 3) - 7 = (-5) and 5 - (3 - 7) = 9

So, (5 - 3) - 7 != 5 - (3 - 7) as (-5) != 9