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