Properties of Division of Integers
The following properties of division of integers are:
(i) If x and y are integers, then x ÷ y is not necessarily an integer.
For example; 16 ÷ 3, -17 ÷ 5 are not integers.
(ii) If x is an integer different from 0, then x ÷ x = 1.
(iii) For every integer x, we have x ÷ 1= x.
(iv) If x is a non-zero integer, then 0 ÷ x = 0.
(v) If x is an integer, then x ÷ 0 is not meaningful.
(vi) If x, y, z are non-zero integers, then (x ÷ y) ÷ z ≠ x ÷ (y ÷ z), unless z = 1.
(vii) If x, y, z are integers, then
(a) x > y ⇒ x ÷ z > y ÷ z, if z is positive.
(a) x > y ⇒ x ÷ z < y ÷ z, if z is negative.
● Numbers - Integers
Properties of Multiplication of Integers
Examples on Multiplication of Integers
Properties of Division of Integers
Examples on Division of Integers
Examples on Fundamental Operations
● Numbers - Worksheets
Worksheet on Multiplication of Integers
Worksheet on Division of Integers
Worksheet on Fundamental Operation
7th Grade Math Problems
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