HomeScienceMathematicsWhat is Integer?
Science·2 min·Updated Mar 12, 2026

What is Integer?

Integer

Quick Answer

An integer is a whole number that can be positive, negative, or zero. It does not include fractions or decimals, making it a fundamental concept in mathematics.

Overview

Integers are the set of numbers that include all whole numbers, both positive and negative, as well as zero. This means that numbers like -3, 0, and 5 are all integers, while numbers like 2.5 or -1.2 are not. Integers are essential in mathematics because they form the basis for many other concepts, such as arithmetic and algebra. In mathematics, integers are used in various operations such as addition, subtraction, multiplication, and division. When you add or subtract integers, the result is always another integer. For example, if you have 3 apples and you give away 2, you are left with 1 apple, which is an integer. This simplicity makes integers easy to work with in everyday situations, such as counting items or measuring distances. Understanding integers is important because they are used in many real-life applications. For instance, temperatures can be represented as integers, where below zero indicates cold temperatures and above zero indicates warmth. By grasping the concept of integers, one can better understand how to interpret data, solve problems, and make calculations in various fields, including science, economics, and engineering.


Frequently Asked Questions

Examples of integers include numbers like -10, -3, 0, 4, and 25. They can be used to represent quantities, such as the number of people in a room or the score in a game.
Yes, integers can be added, subtracted, multiplied, and divided. When performing these operations, the results will also be integers, except in division where the result may not be an integer if the numbers do not divide evenly.
Integers are a subset of rational numbers, which also include fractions and decimals. Unlike rational numbers, integers do not have any fractional or decimal parts, making them whole numbers.