What is an integer? What is a positive integer? What is a negative integer?

What is an integer? What is a positive integer? This article will give you the answer.

In mathematics, there are many sets of numbers such as sets of natural numbers, sets of integers, mixed numbers , real numbers , natural numbers ... The following article will introduce you to sets of integers so that you can understand what integers are, what positive integers are, what negative integers are, how integers are different from other sets of numbers, please refer to it.

Table of Contents

What is an integer? What is a positive integer? What is a negative integer?

What is an integer?

In Mathematics, integers are the set of whole numbers and negative numbers. Similar to integers, integers also do not include fractional parts. Hence, we can say, integers are those numbers that can be positive, negative or zero, but cannot be fractional. We can perform all arithmetic operations, such as addition, subtraction, multiplication and division, on integers. Examples of integers are 1, 2, 5,8, -9, -12, etc. The symbol of integer is “Z“. Now, let us discuss the definition of integers, symbols, types, operations on integers, rules and properties related to integers, representation of integers on number line with many detailed solved examples.

  • Natural numbers other than 0 are also called positive integers (sometimes written +1, +2, +3,…but the “+” sign is usually omitted).
  • The numbers -1, -2, -3,… are negative integers.
  • The set of integers includes: {...; -3; -2; -1; 0; 1; 2; 3;...}
What is an integer? What is a positive integer? What is a negative integer?
The set of integers is a subset of two larger sets, the set of rational numbers Q and the real numbers R. It is also the parent set of the set of natural numbers N.

Note:

  • The number 0 is neither a negative integer nor a positive integer.
  • The point representing the integer a on the number line is called point a.

Properties of the set of integers

The integers in set Z will have the following basic properties:

  • There is no concept of largest integer and smallest integer. The concepts of largest and smallest are only relative and depend on the conditions in each case.
  • The smallest positive integer is 1. The largest negative integer is -1.
  • The integer Z consists of infinitely many finite subsets. Those subsets will have definite smallest and largest integers.
  • There is no integer between two consecutive integers.

Opposite number

On the number line, the points 1 and -1, 2 and -2, 3 and -3,… are equidistant from point 0 and lie on both sides of point 0. We say the numbers 1 and -1, 2 and -2, 3 and -3,… are opposite numbers.

The opposite of 0 is 0.

For example:

  • The number 10 and the number -10 are opposite numbers.
  • The number 110 and the number -110 are opposite numbers.

How to represent integers on a number line?

Since we have discussed three types of integers, we can easily represent them on a number line based on positive integers, negative integers, and zero.

Zero is the center of the integers on the number line. Positive integers are to the right of zero and negative integers are to the left. See the figure below.

What is an integer? What is a positive integer? What is a negative integer?

Hopefully the above article has helped you answer what an integer is and what set of numbers z symbolizes.

Sign up and earn $1000 a day ⋙

Leave a Comment

Devil Fruits Now Available in Blox Fruit

Devil Fruits Now Available in Blox Fruit

Every few hours, players can purchase a random Blox Fruit with a chance to get a better fruit. Although without the Devil Fruit Changer, you may miss out.

Dislyte Character Rankings, Dislyte Tier List

Dislyte Character Rankings, Dislyte Tier List

Our Dislyte character rankings will help you sort through the strongest characters from those not worth bringing into battle to those who will be at the top of your team.

Latest Phong Ma Dao Si Code and how to enter code

Latest Phong Ma Dao Si Code and how to enter code

You can also use Phong Ma Dao Si giftcode to exchange for valuable rewards.

What is Duo Mobile? Is it safe to use Duo Mobile?

What is Duo Mobile? Is it safe to use Duo Mobile?

Authenticator apps add another layer of security and are an easy and convenient way to confirm a person's identity. Duo Mobile is one of the most popular apps of this type.

Good morning images, beautiful new day images

Good morning images, beautiful new day images

Good morning images, good morning images with positive messages will help us have more energy and motivation to have a more effective working day.

OPPO Reno 5 Pro 5G Review: Other Competitors Beware

OPPO Reno 5 Pro 5G Review: Other Competitors Beware

Reno 5 Pro 5G is not much different from its predecessor, still keeping the same 6.5-inch AMOLED curved screen.

What is a mixed number?

What is a mixed number?

A mixed number is a combination of a whole number and a fraction. The fractional part of a mixed number is always less than 1.

Tips for traveling like a rich person

Tips for traveling like a rich person

Are you on a budget when it comes to traveling? Don’t worry, here are some tips from a famous travel advisor that will help you travel like a rich person.

7 Best Obsidian Plugins for Mobile

7 Best Obsidian Plugins for Mobile

In addition to tweaking the interface and making Obsidian run more efficiently, they'll give you a richer set of note-taking tools.

How to fix a blurry external display

How to fix a blurry external display

A dim external monitor can disrupt productivity and cause eye strain. Luckily, there are plenty of things you can do to fix a dim display!

Where do the symbols of male and female come from?

Where do the symbols of male and female come from?

The meaning of popular male and female symbols today may not be known to everyone. Let's learn more about male and female symbols!

The mysterious history of black holes has been decoded by scientists

The mysterious history of black holes has been decoded by scientists

One of the common misconceptions about black holes is that they not only swallow matter, but also the history of that matter. The truth about the history of black holes in the universe has finally been revealed.

No need for multiple Adobe Mobile apps, Adobe Express is the only app you need!

No need for multiple Adobe Mobile apps, Adobe Express is the only app you need!

Adobe offers more than 4 specific photo editing apps on the phone - all of which are so similar, it's hard to decipher which one you really need.

5 gadgets that turn a regular TV into a smart one

5 gadgets that turn a regular TV into a smart one

A regular TV can still learn new tricks with a few gadgets and become better than an expensive smart TV in minutes.

How to use Panasonic air conditioner remote control

How to use Panasonic air conditioner remote control

Using Panasonic air conditioner remote control properly will help us take advantage of the features on the air conditioner.