# 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

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

## Recent Articles

1. ### Lines of Symmetry | Symmetry of Geometrical Figures | List of Examples

Aug 10, 24 04:01 PM

Learn about lines of symmetry in different geometrical shapes. It is not necessary that all the figures possess a line or lines of symmetry in different figures.

2. ### Symmetrical Shapes | One, Two, Three, Four & Many-line Symmetry

Aug 10, 24 02:25 AM

Symmetrical shapes are discussed here in this topic. Any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical. The line whi…

3. ### 6th Grade Math Practice | Table of Contents | Worksheets |Videos |Math

Aug 10, 24 01:59 AM

In 6th grade math practice you will get all types of examples on different topics along with the step-by-step explanation of the solutions.

4. ### 6th Grade Algebra Worksheet | Pre-Algebra worksheets with Free Answers

Aug 10, 24 01:57 AM

In 6th Grade Algebra Worksheet you will get different types of questions on basic concept of algebra, questions on number pattern, dot pattern, number sequence pattern, pattern from matchsticks, conce…