Properties of Division of Integers: Closure Property, Commutative Property, Associative Property, Identity Property and Distributive Property are explained with examples.
Properties of Division
(1) Closure property-
Division of any two integers not always gives integer. It is known as integers are not closed under division.
Condition for closure property-
x ÷ y = z
Here, x, y and z are integers.
(i) 5 ÷ 3 = 5/3 [not integer]
(ii) 6 ÷ 3 = 2 [integer]
Hence, closure property of integer is not verified under division.