Page 41 - Math Booklet Prep1first part1_Neat
P. 41
PPrriimmarryy56
Date :
Properties of subtraction operation in Z
from the above mentioned, we deduce that the properties of
subtraction operation are :
1- Closure property :
Z is closed under the subtraction operation This means that the
difference between any two integers is an integer.
Therefore : the subtraction operation is always possible in Z.
2- Commutative property:
the subtraction operation in Z is not Commutative:
a - b ? b - a for every a, b ? Z.
From example. ( 5 – 8 ? 8 – 5 )
3- Associative property:
The subtraction operation in Z is not associative :
a - (b - c) ?(a - b) - c
From example. [ -9 - (3 - 8) ? (-9 -3) – 8 ]
41
