Showing posts with label Subtraction. Show all posts
Showing posts with label Subtraction. Show all posts

Thursday, September 10, 2015

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