# 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

Integers

Multiplication of Integers

Properties of Multiplication of Integers

Examples on Multiplication of Integers

Division of Integers

Absolute Value of an Integer

Comparison of Integers

Properties of Division of Integers

Examples on Division of Integers

Fundamental Operation

Examples on Fundamental Operations

Uses of Brackets

Removal of Brackets

Examples on Simplification

Numbers - Worksheets

Worksheet on Multiplication of Integers

Worksheet on Division of Integers

Worksheet on Fundamental Operation

Worksheet on Simplification